xref: /petsc/include/petscmat.h (revision 2ff79c18c26c94ed8cb599682f680f231dca6444)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #pragma once
5 
6 #include <petscvec.h>
7 
8 /* SUBMANSEC = Mat */
9 
10 /*S
11    Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
12          an explicit sparse representation (such as matrix-free operators). Also used to hold representations of graphs
13          for graph operations such as coloring, `MatColoringCreate()`
14 
15    Level: beginner
16 
17    Note:
18    See [](doc_matrix), [](ch_matrices) and `MatType` for available matrix types
19 
20 .seealso: [](doc_matrix), [](ch_matrices), `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
21 S*/
22 typedef struct _p_Mat *Mat;
23 
24 /*J
25    MatType - String with the name of a PETSc matrix type. These are all the matrix formats that PETSc provides.
26 
27    Level: beginner
28 
29    Notes:
30    [](doc_matrix) for a table of available matrix types
31 
32    Use `MatSetType()` or the options database keys `-mat_type` or `-dm_mat_type` to set the matrix format to use for a given `Mat`
33 
34 .seealso: [](doc_matrix), [](ch_matrices), `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
35 J*/
36 typedef const char *MatType;
37 #define MATSAME                      "same"
38 #define MATMAIJ                      "maij"
39 #define MATSEQMAIJ                   "seqmaij"
40 #define MATMPIMAIJ                   "mpimaij"
41 #define MATKAIJ                      "kaij"
42 #define MATSEQKAIJ                   "seqkaij"
43 #define MATMPIKAIJ                   "mpikaij"
44 #define MATIS                        "is"
45 #define MATAIJ                       "aij"
46 #define MATSEQAIJ                    "seqaij"
47 #define MATMPIAIJ                    "mpiaij"
48 #define MATAIJCRL                    "aijcrl"
49 #define MATSEQAIJCRL                 "seqaijcrl"
50 #define MATMPIAIJCRL                 "mpiaijcrl"
51 #define MATAIJCUSPARSE               "aijcusparse"
52 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
53 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
54 #define MATAIJHIPSPARSE              "aijhipsparse"
55 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
56 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
57 #define MATAIJKOKKOS                 "aijkokkos"
58 #define MATSEQAIJKOKKOS              "seqaijkokkos"
59 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
60 #define MATAIJVIENNACL               "aijviennacl"
61 #define MATSEQAIJVIENNACL            "seqaijviennacl"
62 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
63 #define MATAIJPERM                   "aijperm"
64 #define MATSEQAIJPERM                "seqaijperm"
65 #define MATMPIAIJPERM                "mpiaijperm"
66 #define MATAIJSELL                   "aijsell"
67 #define MATSEQAIJSELL                "seqaijsell"
68 #define MATMPIAIJSELL                "mpiaijsell"
69 #define MATAIJMKL                    "aijmkl"
70 #define MATSEQAIJMKL                 "seqaijmkl"
71 #define MATMPIAIJMKL                 "mpiaijmkl"
72 #define MATBAIJMKL                   "baijmkl"
73 #define MATSEQBAIJMKL                "seqbaijmkl"
74 #define MATMPIBAIJMKL                "mpibaijmkl"
75 #define MATSHELL                     "shell"
76 #define MATCENTERING                 "centering"
77 #define MATDENSE                     "dense"
78 #define MATDENSECUDA                 "densecuda"
79 #define MATDENSEHIP                  "densehip"
80 #define MATSEQDENSE                  "seqdense"
81 #define MATSEQDENSECUDA              "seqdensecuda"
82 #define MATSEQDENSEHIP               "seqdensehip"
83 #define MATMPIDENSE                  "mpidense"
84 #define MATMPIDENSECUDA              "mpidensecuda"
85 #define MATMPIDENSEHIP               "mpidensehip"
86 #define MATELEMENTAL                 "elemental"
87 #define MATSCALAPACK                 "scalapack"
88 #define MATBAIJ                      "baij"
89 #define MATSEQBAIJ                   "seqbaij"
90 #define MATMPIBAIJ                   "mpibaij"
91 #define MATMPIADJ                    "mpiadj"
92 #define MATSBAIJ                     "sbaij"
93 #define MATSEQSBAIJ                  "seqsbaij"
94 #define MATMPISBAIJ                  "mpisbaij"
95 #define MATMFFD                      "mffd"
96 #define MATNORMAL                    "normal"
97 #define MATNORMALHERMITIAN           "normalh"
98 #define MATLRC                       "lrc"
99 #define MATSCATTER                   "scatter"
100 #define MATBLOCKMAT                  "blockmat"
101 #define MATCOMPOSITE                 "composite"
102 #define MATFFT                       "fft"
103 #define MATFFTW                      "fftw"
104 #define MATSEQCUFFT                  "seqcufft"
105 #define MATSEQHIPFFT                 "seqhipfft"
106 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO(3, 18, 0, "MATTRANSPOSEVIRTUAL", ) "transpose"
107 #define MATTRANSPOSEVIRTUAL          "transpose"
108 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
109 #define MATSCHURCOMPLEMENT           "schurcomplement"
110 #define MATPYTHON                    "python"
111 #define MATHYPRE                     "hypre"
112 #define MATHYPRESTRUCT               "hyprestruct"
113 #define MATHYPRESSTRUCT              "hypresstruct"
114 #define MATSUBMATRIX                 "submatrix"
115 #define MATLOCALREF                  "localref"
116 #define MATNEST                      "nest"
117 #define MATPREALLOCATOR              "preallocator"
118 #define MATSELL                      "sell"
119 #define MATSEQSELL                   "seqsell"
120 #define MATMPISELL                   "mpisell"
121 #define MATSELLCUDA                  "sellcuda"
122 #define MATSEQSELLCUDA               "seqsellcuda"
123 #define MATMPISELLCUDA               "mpisellcuda"
124 #define MATSELLHIP                   "sellhip"
125 #define MATSEQSELLHIP                "seqsellhip"
126 #define MATMPISELLHIP                "mpisellhip"
127 #define MATDUMMY                     "dummy"
128 #define MATLMVM                      "lmvm"
129 #define MATLMVMDFP                   "lmvmdfp"
130 #define MATLMVMDDFP                  "lmvmddfp"
131 #define MATLMVMBFGS                  "lmvmbfgs"
132 #define MATLMVMDBFGS                 "lmvmdbfgs"
133 #define MATLMVMDQN                   "lmvmdqn"
134 #define MATLMVMSR1                   "lmvmsr1"
135 #define MATLMVMBROYDEN               "lmvmbroyden"
136 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
137 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
138 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
139 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
140 #define MATCONSTANTDIAGONAL          "constantdiagonal"
141 #define MATDIAGONAL                  "diagonal"
142 #define MATHTOOL                     "htool"
143 #define MATH2OPUS                    "h2opus"
144 
145 /*J
146    MatSolverType - String with the name of a PETSc factorization-based matrix solver type.
147 
148    For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
149 
150    Level: beginner
151 
152    Note:
153    `MATSOLVERUMFPACK`, `MATSOLVERCHOLMOD`, `MATSOLVERKLU`, `MATSOLVERSPQR` form the SuiteSparse package; you can use `--download-suitesparse` as
154    a ./configure option to install them
155 
156 .seealso: [](sec_matfactor), [](ch_matrices), `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
157 J*/
158 typedef const char *MatSolverType;
159 #define MATSOLVERSUPERLU      "superlu"
160 #define MATSOLVERSUPERLU_DIST "superlu_dist"
161 #define MATSOLVERSTRUMPACK    "strumpack"
162 #define MATSOLVERUMFPACK      "umfpack"
163 #define MATSOLVERCHOLMOD      "cholmod"
164 #define MATSOLVERKLU          "klu"
165 #define MATSOLVERELEMENTAL    "elemental"
166 #define MATSOLVERSCALAPACK    "scalapack"
167 #define MATSOLVERESSL         "essl"
168 #define MATSOLVERLUSOL        "lusol"
169 #define MATSOLVERMUMPS        "mumps"
170 #define MATSOLVERMKL_PARDISO  "mkl_pardiso"
171 #define MATSOLVERMKL_CPARDISO "mkl_cpardiso"
172 #define MATSOLVERPASTIX       "pastix"
173 #define MATSOLVERMATLAB       "matlab"
174 #define MATSOLVERPETSC        "petsc"
175 #define MATSOLVERBAS          "bas"
176 #define MATSOLVERCUSPARSE     "cusparse"
177 #define MATSOLVERCUDA         "cuda"
178 #define MATSOLVERHIPSPARSE    "hipsparse"
179 #define MATSOLVERHIP          "hip"
180 #define MATSOLVERKOKKOS       "kokkos"
181 #define MATSOLVERSPQR         "spqr"
182 #define MATSOLVERHTOOL        "htool"
183 
184 /*E
185     MatFactorType - indicates what type of factorization is requested
186 
187     Values:
188 +  `MAT_FACTOR_LU`       - LU factorization
189 .  `MAT_FACTOR_CHOLESKY` - Cholesky factorization
190 .  `MAT_FACTOR_ILU`      - ILU factorization
191 .  `MAT_FACTOR_ICC`      - incomplete Cholesky factorization
192 .  `MAT_FACTOR_ILUDT`    - ILU factorization with drop tolerance
193 -  `MAT_FACTOR_QR`       - QR factorization
194 
195     Level: beginner
196 
197 .seealso: [](ch_matrices), `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
198 E*/
199 typedef enum {
200   MAT_FACTOR_NONE,
201   MAT_FACTOR_LU,
202   MAT_FACTOR_CHOLESKY,
203   MAT_FACTOR_ILU,
204   MAT_FACTOR_ICC,
205   MAT_FACTOR_ILUDT,
206   MAT_FACTOR_QR,
207   MAT_FACTOR_NUM_TYPES
208 } MatFactorType;
209 PETSC_EXTERN const char *const MatFactorTypes[];
210 
211 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
212 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
213 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
214 PETSC_DEPRECATED_FUNCTION(3, 15, 0, "MatFactorGetCanUseOrdering()", ) static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
215 {
216   return MatFactorGetCanUseOrdering(A, b);
217 }
218 PETSC_EXTERN PetscErrorCode                 MatFactorGetSolverType(Mat, MatSolverType *);
219 PETSC_EXTERN PetscErrorCode                 MatGetFactorType(Mat, MatFactorType *);
220 PETSC_EXTERN PetscErrorCode                 MatSetFactorType(Mat, MatFactorType);
221 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatSolverFn(Mat, MatFactorType, Mat *);
222 PETSC_EXTERN_TYPEDEF typedef MatSolverFn   *MatSolverFunction;
223 
224 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFn *);
225 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFn **);
226 typedef MatSolverType       MatSolverPackage PETSC_DEPRECATED_TYPEDEF(3, 9, 0, "MatSolverType", );
227 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeRegister()", ) static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFn *f)
228 {
229   return MatSolverTypeRegister(stype, mtype, ftype, f);
230 }
231 PETSC_DEPRECATED_FUNCTION(3, 9, 0, "MatSolverTypeGet()", ) static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFn **f)
232 {
233   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
234 }
235 
236 /*E
237     MatProductType - indicates what type of matrix product to compute
238 
239     Values:
240 +  `MATPRODUCT_AB`   - product of two matrices
241 .  `MATPRODUCT_AtB`  - product of the transpose of a given matrix with a matrix
242 .  `MATPRODUCT_ABt`  - product of a matrix with the transpose of another given matrix
243 .  `MATPRODUCT_PtAP` - the triple product of the transpose of a matrix with another matrix and itself
244 .  `MATPRODUCT_RARt` - the triple product of a matrix, another matrix and the transpose of the first matrix
245 -  `MATPRODUCT_ABC`  - the product of three matrices
246 
247     Level: beginner
248 
249 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatProductSetType()`
250 E*/
251 typedef enum {
252   MATPRODUCT_UNSPECIFIED,
253   MATPRODUCT_AB,
254   MATPRODUCT_AtB,
255   MATPRODUCT_ABt,
256   MATPRODUCT_PtAP,
257   MATPRODUCT_RARt,
258   MATPRODUCT_ABC
259 } MatProductType;
260 PETSC_EXTERN const char *const MatProductTypes[];
261 
262 /*J
263     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
264 
265    Level: beginner
266 
267 .seealso: [](sec_matmatproduct), [](ch_matrices), `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
268 J*/
269 typedef const char *MatProductAlgorithm;
270 #define MATPRODUCTALGORITHMDEFAULT         "default"
271 #define MATPRODUCTALGORITHMSORTED          "sorted"
272 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
273 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
274 #define MATPRODUCTALGORITHMHEAP            "heap"
275 #define MATPRODUCTALGORITHMBHEAP           "btheap"
276 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
277 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
278 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
279 #define MATPRODUCTALGORITHMATB             "at*b"
280 #define MATPRODUCTALGORITHMRAP             "rap"
281 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
282 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
283 #define MATPRODUCTALGORITHMBACKEND         "backend"
284 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
285 #define MATPRODUCTALGORITHMMERGED          "merged"
286 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
287 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
288 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
289 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
290 #define MATPRODUCTALGORITHMHYPRE           "hypre"
291 
292 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
293 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
294 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
295 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
296 PETSC_EXTERN PetscErrorCode MatProductGetAlgorithm(Mat, MatProductAlgorithm *);
297 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
298 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
299 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
300 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
301 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
302 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
303 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
304 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
305 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
306 
307 /* Logging support */
308 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
309 PETSC_EXTERN PetscClassId MAT_CLASSID;
310 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
311 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
312 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
313 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
314 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
315 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
316 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
317 
318 /*E
319    MatReuse - Indicates if matrices obtained from a previous call to `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatConvert()` or several other functions
320    are to be reused to store the new matrix values.
321 
322    Values:
323 +  `MAT_INITIAL_MATRIX` - create a new matrix
324 .  `MAT_REUSE_MATRIX`   - reuse the matrix created with a previous call that used `MAT_INITIAL_MATRIX`
325 .  `MAT_INPLACE_MATRIX` - replace the first input matrix with the new matrix (not applicable to all functions)
326 -  `MAT_IGNORE_MATRIX`  - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
327 
328     Level: beginner
329 
330 .seealso: [](ch_matrices), `Mat`, `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
331 E*/
332 typedef enum {
333   MAT_INITIAL_MATRIX,
334   MAT_REUSE_MATRIX,
335   MAT_IGNORE_MATRIX,
336   MAT_INPLACE_MATRIX
337 } MatReuse;
338 
339 /*E
340     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to `MatCreateSubMatrices()`
341     include the matrix values. Currently it is only used by `MatGetSeqNonzeroStructure()`.
342 
343     Values:
344 +  `MAT_DO_NOT_GET_VALUES` - do not copy the matrix values
345 -  `MAT_GET_VALUES`        - copy the matrix values
346 
347     Level: developer
348 
349     Developer Note:
350     Why is not just a boolean used for this information?
351 
352 .seealso: [](ch_matrices), `Mat`, `MatDuplicateOption`, `PetscCopyMode`, `MatGetSeqNonzeroStructure()`
353 E*/
354 typedef enum {
355   MAT_DO_NOT_GET_VALUES,
356   MAT_GET_VALUES
357 } MatCreateSubMatrixOption;
358 
359 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
360 PETSC_EXTERN PetscErrorCode MatFinalizePackage(void);
361 
362 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
363 PETSC_EXTERN PetscErrorCode MatCreateFromOptions(MPI_Comm, const char *, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
364 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
365 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
366 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
367 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
368 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
369 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
370 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
371 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
372 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
373 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
374 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
375 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
376 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
377 PETSC_EXTERN PetscErrorCode MatGetState(Mat, PetscObjectState *);
378 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
379 
380 PETSC_EXTERN PetscFunctionList MatList;
381 PETSC_EXTERN PetscFunctionList MatColoringList;
382 PETSC_EXTERN PetscFunctionList MatPartitioningList;
383 
384 /*E
385    MatStructure - Indicates if two matrices have the same nonzero structure
386 
387    Values:
388 +  `SAME_NONZERO_PATTERN`      - the two matrices have identical nonzero patterns
389 .  `DIFFERENT_NONZERO_PATTERN` - the two matrices may have different nonzero patterns
390 .  `SUBSET_NONZERO_PATTERN`    - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
391 -  `UNKNOWN_NONZERO_PATTERN`   - there is no known relationship between the nonzero patterns. In this case the implementations
392                                  may try to detect a relationship to optimize the operation
393 
394    Level: beginner
395 
396    Note:
397    Certain matrix operations (such as `MatAXPY()`) can run much faster if the sparsity pattern of the matrices are the same. But actually determining if
398    the patterns are the same may be costly. This provides a way for users who know something about the sparsity patterns to provide this information
399    to certain PETSc routines.
400 
401 .seealso: [](ch_matrices), `Mat`, `MatCopy()`, `MatAXPY()`, `MatAYPX()`
402 E*/
403 typedef enum {
404   DIFFERENT_NONZERO_PATTERN,
405   SUBSET_NONZERO_PATTERN,
406   SAME_NONZERO_PATTERN,
407   UNKNOWN_NONZERO_PATTERN
408 } MatStructure;
409 PETSC_EXTERN const char *const MatStructures[];
410 
411 #if defined PETSC_HAVE_MKL_SPARSE
412 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
415 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
416 #endif
417 
418 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
419 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJPERM(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
420 
421 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
422 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
423 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
424 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
425 PETSC_EXTERN PetscErrorCode MatSeqSELLGetFillRatio(Mat, PetscReal *);
426 PETSC_EXTERN PetscErrorCode MatSeqSELLGetMaxSliceWidth(Mat, PetscInt *);
427 PETSC_EXTERN PetscErrorCode MatSeqSELLGetAvgSliceWidth(Mat, PetscReal *);
428 PETSC_EXTERN PetscErrorCode MatSeqSELLSetSliceHeight(Mat, PetscInt);
429 PETSC_EXTERN PetscErrorCode MatSeqSELLGetVarSliceSize(Mat, PetscReal *);
430 
431 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
432 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
433 PETSC_EXTERN PetscErrorCode MatMPISELLGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
434 PETSC_EXTERN PetscErrorCode MatMPISELLGetSeqSELL(Mat, Mat *, Mat *, const PetscInt *[]);
435 
436 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
437 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
438 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
439 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
441 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
442 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
443 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
444 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, PetscInt, PetscInt, Mat, Mat, PetscInt *, Mat *);
445 
446 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
447 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
448 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
449 
450 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
451 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
452 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
453 
454 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
455 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
456 
457 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
458 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
459 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
460 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
461 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
462 
463 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
464 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
465 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
466 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
467 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
468 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
469 PETSC_EXTERN PetscErrorCode MatLRCSetMats(Mat, Mat, Mat, Vec, Mat);
470 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
471 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
472 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
473 
474 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
475 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
476 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
477 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
478 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
479 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
480 typedef enum {
481   MAT_COMPOSITE_MERGE_RIGHT,
482   MAT_COMPOSITE_MERGE_LEFT
483 } MatCompositeMergeType;
484 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
485 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
486 /*E
487     MatCompositeType - indicates what type of `MATCOMPOSITE` is used
488 
489     Values:
490 +  `MAT_COMPOSITE_ADDITIVE`       - sum of matrices (default)
491 -  `MAT_COMPOSITE_MULTIPLICATIVE` - product of matrices
492 
493     Level: beginner
494 
495 .seealso: [](ch_matrices), `MATCOMPOSITE`, `MatCompositeSetType()`, `MatCompositeGetType()`
496 E*/
497 typedef enum {
498   MAT_COMPOSITE_ADDITIVE,
499   MAT_COMPOSITE_MULTIPLICATIVE
500 } MatCompositeType;
501 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
502 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
503 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
504 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
505 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
506 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
507 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
508 
509 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
510 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
511 
512 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
513 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
514 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
515 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
516 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
517 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
518 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
519 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
520 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
521 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
522 PETSC_EXTERN PetscErrorCode MatCreateDiagonal(Vec, Mat *);
523 PETSC_EXTERN PetscErrorCode MatDiagonalGetDiagonal(Mat, Vec *);
524 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreDiagonal(Mat, Vec *);
525 PETSC_EXTERN PetscErrorCode MatDiagonalGetInverseDiagonal(Mat, Vec *);
526 PETSC_EXTERN PetscErrorCode MatDiagonalRestoreInverseDiagonal(Mat, Vec *);
527 PETSC_EXTERN PetscErrorCode MatConstantDiagonalGetConstant(Mat, PetscScalar *);
528 PETSC_EXTERN PetscErrorCode MatGetCurrentMemType(Mat, PetscMemType *);
529 
530 #if defined(PETSC_HAVE_HYPRE)
531 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
532 #endif
533 
534 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
535 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
536 PETSC_EXTERN PetscErrorCode MatPythonCreate(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const char[], Mat *);
537 
538 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
539 PETSC_EXTERN PetscErrorCode MatResetHash(Mat);
540 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
541 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
542 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
543 
544 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
545 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
546 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
547 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
548 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
549 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
550 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
551 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
552 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
553 PETSC_EXTERN PetscErrorCode MatComputeVariableBlockEnvelope(Mat);
554 
555 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
556 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
557 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
558 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
559 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
560 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
561 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
562 
563 /*S
564    MatStencil - Data structure (C struct) for storing information about rows and
565    columns of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
566 
567    Level: beginner
568 
569    Notes:
570    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
571    The c represents the degrees of freedom at each grid point (the dof argument to `DMDASetDOF()`). If dof is 1 then this entry is ignored.
572 
573    For stencil access to vectors see `DMDAVecGetArray()`
574 
575    For staggered grids, see `DMStagStencil`
576 
577 .seealso: [](ch_matrices), `Mat`, `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`
578           `DMStagStencil`
579 S*/
580 typedef struct {
581   PetscInt k, j, i, c;
582 } MatStencil;
583 
584 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
585 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
586 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
587 
588 /*E
589     MatAssemblyType - Indicates if the process of setting values into the matrix is complete, and the matrix is ready for use
590 
591     Values:
592 +   `MAT_FLUSH_ASSEMBLY` - you will continue to put values into the matrix
593 -   `MAT_FINAL_ASSEMBLY` - you wish to use the matrix with the values currently inserted
594 
595     Level: beginner
596 
597 .seealso: [](ch_matrices), `Mat`, `MatSetValues`, `MatAssemblyBegin()`, `MatAssemblyEnd()`
598 E*/
599 typedef enum {
600   MAT_FLUSH_ASSEMBLY = 1,
601   MAT_FINAL_ASSEMBLY = 0
602 } MatAssemblyType;
603 
604 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
605 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
606 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
607 
608 /*E
609    MatOption - Options that may be set for a matrix that indicate properties of the matrix or affect its behavior or storage
610 
611    Level: beginner
612 
613    Note:
614    See `MatSetOption()` for the use of the options
615 
616    Developer Note:
617    Entries that are negative need not be called collectively by all processes.
618 
619 .seealso: [](ch_matrices), `Mat`, `MatSetOption()`
620 E*/
621 typedef enum {
622   MAT_OPTION_MIN                  = -3,
623   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
624   MAT_ROW_ORIENTED                = -1,
625   MAT_SYMMETRIC                   = 1,
626   MAT_STRUCTURALLY_SYMMETRIC      = 2,
627   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
628   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
629   MAT_USE_HASH_TABLE              = 5,
630   MAT_KEEP_NONZERO_PATTERN        = 6,
631   MAT_IGNORE_ZERO_ENTRIES         = 7,
632   MAT_USE_INODES                  = 8,
633   MAT_HERMITIAN                   = 9,
634   MAT_SYMMETRY_ETERNAL            = 10,
635   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
636   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
637   MAT_ERROR_LOWER_TRIANGULAR      = 13,
638   MAT_GETROW_UPPERTRIANGULAR      = 14,
639   MAT_SPD                         = 15,
640   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
641   MAT_NO_OFF_PROC_ENTRIES         = 17,
642   MAT_NEW_NONZERO_LOCATIONS       = 18,
643   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
644   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
645   MAT_SUBMAT_SINGLEIS             = 21,
646   MAT_STRUCTURE_ONLY              = 22,
647   MAT_SORTED_FULL                 = 23,
648   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
649   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
650   MAT_SPD_ETERNAL                 = 26,
651   MAT_OPTION_MAX                  = 27
652 } MatOption;
653 
654 PETSC_EXTERN const char *const *MatOptions;
655 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
656 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
657 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
658 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
659 
660 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
661 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
662 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
663 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
664 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
665 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
666 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
667 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
668 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
669 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
670 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
671 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
672 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
673 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
674 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
675 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
676 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
677 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
678 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
679 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
680 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
681 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
682 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
683 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
684 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
685 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
686 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
687 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
688 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
689 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
690 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
691 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayAndMemType(Mat, PetscScalar *[], PetscMemType *);
692 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayAndMemType(Mat, PetscScalar *[]);
693 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayReadAndMemType(Mat, const PetscScalar *[], PetscMemType *);
694 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayReadAndMemType(Mat, const PetscScalar *[]);
695 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWriteAndMemType(Mat, PetscScalar *[], PetscMemType *);
696 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWriteAndMemType(Mat, PetscScalar *[]);
697 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
698 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
699 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
700 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
701 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
702 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, const PetscInt[]);
703 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt *[]);
704 
705 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
706 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
707 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
708 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
709 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
710 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
711 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
712 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
713 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
714 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
715 
716 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
717 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
718 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
719 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
720 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
721 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
722 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
723 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
724 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
725 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
726 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
727 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
728 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
729 
730 /*E
731   MatDuplicateOption - Indicates if a duplicated sparse matrix should have
732   its numerical values copied over or just its nonzero structure.
733 
734   Values:
735 + `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
736                                 with zeros for the numerical values
737 . `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
738                                 and with the same numerical values.
739 - `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
740                                 and does not copy it, using zeros for the numerical values. The parent and
741                                 child matrices will share their index (i and j) arrays, and you cannot
742                                 insert new nonzero entries into either matrix
743 
744   Level: beginner
745 
746   Note:
747   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
748   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
749 
750 .seealso: [](ch_matrices), `Mat`, `MatDuplicate()`
751 E*/
752 typedef enum {
753   MAT_DO_NOT_COPY_VALUES,
754   MAT_COPY_VALUES,
755   MAT_SHARE_NONZERO_PATTERN
756 } MatDuplicateOption;
757 
758 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
759 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
760 
761 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
762 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
763 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
764 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
765 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
766 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
767 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
768 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
769 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
770 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
771 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
772 
773 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
774 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
775 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
776 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
777 
778 /*S
779    MatInfo - Context of matrix information, used with `MatGetInfo()`
780 
781    Level: intermediate
782 
783    Fortran Note:
784    `MatInfo` is a derived type, use e.g. `matinfo%nz_allocated` to access its components.
785 
786 .seealso: [](ch_matrices), `Mat`, `MatGetInfo()`, `MatInfoType`
787 S*/
788 typedef struct {
789   PetscLogDouble block_size;                          /* block size */
790   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
791   PetscLogDouble memory;                              /* memory allocated */
792   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
793   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
794   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
795   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
796 } MatInfo;
797 
798 /*E
799     MatInfoType - Indicates if you want information about the local part of the matrix,
800     the entire parallel matrix or the maximum over all the local parts.
801 
802     Values:
803 +   `MAT_LOCAL`      - values for each MPI process part of the matrix
804 .   `MAT_GLOBAL_MAX` - maximum of each value over all MPI processes
805 -   `MAT_GLOBAL_SUM` - sum of each value over all MPI processes
806 
807     Level: beginner
808 
809 .seealso: [](ch_matrices), `MatGetInfo()`, `MatInfo`
810 E*/
811 typedef enum {
812   MAT_LOCAL      = 1,
813   MAT_GLOBAL_MAX = 2,
814   MAT_GLOBAL_SUM = 3
815 } MatInfoType;
816 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
817 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
818 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
819 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
820 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
821 PETSC_EXTERN PetscErrorCode MatGetRowSumAbs(Mat, Vec);
822 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
823 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
824 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
825 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
826 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
827 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
828 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
829 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
830 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
831 
832 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
833 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
834 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
835 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
836 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
837 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
838 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
839 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
840 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
841 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
842 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
843 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
844 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
845 
846 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
847 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
848 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
849 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
850 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
851 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
852 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
853 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
854 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
855 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
856 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
857 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
858 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
859 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
860 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
861 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
862 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
863 
864 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
865 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
866 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
867 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
868 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
869 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
870 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
871 
872 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
873 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrices()", ) static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
874 {
875   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
876 }
877 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
878 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatricesMPI()", ) static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
879 {
880   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
881 }
882 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
883 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
884 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
885 PETSC_DEPRECATED_FUNCTION(3, 8, 0, "MatCreateSubMatrix()", ) static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
886 {
887   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
888 }
889 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
890 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
891 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
892 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
893 
894 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
895 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
896 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
897 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
898 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
899 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
900 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
901 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
902 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
903 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
904 
905 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
906 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat, PetscInt, IS[], PetscInt);
907 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
908 
909 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
910 
911 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
912 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
913 
914 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
915 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
916 
917 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
918 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
919 
920 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
921 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
922 
923 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
924 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
925 
926 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
927 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
928 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
929 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
930 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
931 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
932 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
933 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
934 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
935 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
936 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
937 
938 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
939 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
940 
941 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
942 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
943 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
944 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
945 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
946 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
947 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
948 PETSC_DEPRECATED_FUNCTION(3, 6, 0, "MatCreateVecs()", ) static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
949 {
950   return MatCreateVecs(mat, x, y);
951 }
952 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
953 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
954 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
955 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
956 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
957 
958 PETSC_EXTERN PetscErrorCode MatCopyHashToXAIJ(Mat A, Mat B);
959 /*@C
960    MatSetValue - Set a single entry into a matrix.
961 
962    Not Collective
963 
964    Input Parameters:
965 +  mat  - the matrix
966 .  i    - the row location of the entry
967 .  j    - the column location of the entry
968 .  va   - the value to insert
969 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
970 
971    Level: beginner
972 
973    Notes:
974    This value may be cached, so `MatAssemblyBegin()` and `MatAssemblyEnd()`
975    MUST be called after all calls to `MatSetValue()` have been completed.
976 
977    For efficiency one should use `MatSetValues()` and set several values simultaneously.
978 
979 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `InsertMode`, `MatGetValue()`, `MatSetValues()`,
980           `MatSetValueLocal()`, `MatSetValuesLocal()`
981 @*/
982 static inline PetscErrorCode MatSetValue(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
983 {
984   return MatSetValues(mat, 1, &i, 1, &j, &va, mode);
985 }
986 
987 /*@C
988    MatGetValue - Gets a single value from a matrix
989 
990    Not Collective; can only return a value owned by the given process
991 
992    Input Parameters:
993 +  mat - the matrix
994 .  row - the row location of the entry
995 -  col - the column location of the entry
996 
997    Output Parameter:
998 .  va - the value
999 
1000    Level: advanced
1001 
1002    Notes:
1003    The matrix must have been assembled with `MatAssemblyBegin()` and `MatAssemblyEnd()` before this call
1004 
1005    For efficiency one should use `MatGetValues()` and get several values simultaneously.
1006 
1007    See notes for `MatGetValues()`.
1008 
1009 .seealso: [](ch_matrices), `Mat`, `MatAssemblyBegin()`, `MatAssemblyEnd()`, `MatSetValue()`, `MatGetValuesLocal()`, `MatGetValues()`
1010 @*/
1011 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
1012 {
1013   return MatGetValues(mat, 1, &row, 1, &col, va);
1014 }
1015 
1016 /*@C
1017    MatSetValueLocal - Inserts or adds a single value into a matrix, using a local numbering of the nodes.
1018 
1019    Not Collective
1020 
1021    Input Parameters:
1022 +  mat  - the matrix
1023 .  i    - the row location of the entry
1024 .  j    - the column location of the entry
1025 .  va   - the value to insert
1026 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
1027 
1028    Level: intermediate
1029 
1030    Notes:
1031    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
1032 
1033    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
1034 
1035 .seealso: [](ch_matrices), `MatSetValue()`, `MatSetValuesLocal()`
1036 @*/
1037 static inline PetscErrorCode MatSetValueLocal(Mat mat, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
1038 {
1039   return MatSetValuesLocal(mat, 1, &i, 1, &j, &va, mode);
1040 }
1041 
1042 /*MC
1043    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
1044    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1045 
1046    Synopsis:
1047    #include <petscmat.h>
1048    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
1049 
1050    Collective
1051 
1052    Input Parameters:
1053 +  comm  - the communicator that will share the eventually allocated matrix
1054 .  nrows - the number of LOCAL rows in the matrix
1055 -  ncols - the number of LOCAL columns in the matrix
1056 
1057    Output Parameters:
1058 +  dnz - the array that will be passed to the matrix preallocation routines
1059 -  onz - the other array passed to the matrix preallocation routines
1060 
1061    Level: deprecated (since v3.19)
1062 
1063    Notes:
1064    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1065    the use of this routine
1066 
1067    This is a macro that handles its own error checking, it does not return an error code.
1068 
1069    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1070 
1071    Developer Note:
1072    This is a MACRO, not a function, because it has a leading { that is closed by `PetscPreallocateFinalize()`.
1073 
1074 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1075           `MatPreallocateSymmetricSetLocalBlock()`
1076 M*/
1077 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
1078   do { \
1079     PetscInt              __nrows = (nrows), __ncols = (ncols), __rstart, __end = 0; \
1080     PetscInt PETSC_UNUSED __start; \
1081     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
1082     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
1083     __start = __end - __ncols; \
1084     (void)__start; \
1085     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
1086   __rstart -= __nrows
1087 
1088 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateBegin()", ) MatPreallocateBegin(__VA_ARGS__)
1089 
1090 /*MC
1091    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1092    inserted using a local number of the rows and columns
1093 
1094    Synopsis:
1095    #include <petscmat.h>
1096    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1097 
1098    Not Collective
1099 
1100    Input Parameters:
1101 +  map   - the row mapping from local numbering to global numbering
1102 .  nrows - the number of rows indicated
1103 .  rows  - the indices of the rows
1104 .  cmap  - the column mapping from local to global numbering
1105 .  ncols - the number of columns in the matrix
1106 .  cols  - the columns indicated
1107 .  dnz   - the array that will be passed to the matrix preallocation routines
1108 -  onz   - the other array passed to the matrix preallocation routines
1109 
1110    Level: deprecated (since v3.19)
1111 
1112    Notes:
1113    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1114    the use of this routine
1115 
1116    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1117 
1118 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1119           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1120 M*/
1121 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1122   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1123 
1124 /*MC
1125    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1126    inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1127 
1128    Synopsis:
1129    #include <petscmat.h>
1130    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1131 
1132    Not Collective
1133 
1134    Input Parameters:
1135 +  map   - the row mapping from local numbering to global numbering
1136 .  nrows - the number of rows indicated
1137 .  rows  - the indices of the rows (these values are mapped to the global values)
1138 .  cmap  - the column mapping from local to global numbering
1139 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1140 .  cols  - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1141 .  dnz   - the array that will be passed to the matrix preallocation routines
1142 -  onz   - the other array passed to the matrix preallocation routines
1143 
1144    Level: deprecated (since v3.19)
1145 
1146    Notes:
1147    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1148    the use of this routine
1149 
1150    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1151 
1152 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1153           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1154 M*/
1155 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1156   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApply(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApply(cmap, ncols, cols, cols)); PetscCall(PetscSortRemoveDupsInt(&ncols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1157 
1158 /*MC
1159    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1160    inserted using a local number of the rows and columns
1161 
1162    Synopsis:
1163    #include <petscmat.h>
1164    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1165 
1166    Not Collective
1167 
1168    Input Parameters:
1169 +  map   - the row mapping from local numbering to global numbering
1170 .  nrows - the number of rows indicated
1171 .  rows  - the indices of the rows
1172 .  cmap  - the column mapping from local to global numbering
1173 .  ncols - the number of columns in the matrix
1174 .  cols  - the columns indicated
1175 .  dnz   - the array that will be passed to the matrix preallocation routines
1176 -  onz   - the other array passed to the matrix preallocation routines
1177 
1178    Level: deprecated (since v3.19)
1179 
1180    Notes:
1181    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1182    the use of this routine
1183 
1184    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1185 
1186 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1187           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1188 M*/
1189 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1190   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(rmap, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(cmap, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSet((rows)[__l], ncols, cols, dnz, onz));)
1191 
1192 /*MC
1193    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1194    inserted using a local number of the rows and columns
1195 
1196    Synopsis:
1197    #include <petscmat.h>
1198    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1199 
1200    Not Collective
1201 
1202    Input Parameters:
1203 +  map   - the mapping between local numbering and global numbering
1204 .  nrows - the number of rows indicated
1205 .  rows  - the indices of the rows
1206 .  ncols - the number of columns in the matrix
1207 .  cols  - the columns indicated
1208 .  dnz   - the array that will be passed to the matrix preallocation routines
1209 -  onz   - the other array passed to the matrix preallocation routines
1210 
1211    Level: deprecated (since v3.19)
1212 
1213    Notes:
1214    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1215    the use of this routine
1216 
1217    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1218 
1219 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`
1220           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1221 M*/
1222 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1223   PetscMacroReturnStandard(PetscCall(ISLocalToGlobalMappingApplyBlock(map, nrows, rows, rows)); PetscCall(ISLocalToGlobalMappingApplyBlock(map, ncols, cols, cols)); for (PetscInt __l = 0; __l < nrows; __l++) PetscCall(MatPreallocateSymmetricSetBlock((rows)[__l], ncols, cols, dnz, onz));)
1224 
1225 /*MC
1226    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1227    inserted using a local number of the rows and columns
1228 
1229    Synopsis:
1230    #include <petscmat.h>
1231    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1232 
1233    Not Collective
1234 
1235    Input Parameters:
1236 +  row   - the row
1237 .  ncols - the number of columns in the matrix
1238 -  cols  - the columns indicated
1239 
1240    Output Parameters:
1241 +  dnz - the array that will be passed to the matrix preallocation routines
1242 -  onz - the other array passed to the matrix preallocation routines
1243 
1244    Level: deprecated (since v3.19)
1245 
1246    Notes:
1247    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1248    the use of this routine
1249 
1250    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1251 
1252    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1253 
1254 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1255           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1256 M*/
1257 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1258   PetscMacroReturnStandard(PetscCheck(row >= __rstart, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " less than first local row %" PetscInt_FMT, row, __rstart); PetscCheck(row < __rstart + __nrows, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Trying to set preallocation for row %" PetscInt_FMT " greater than last local row %" PetscInt_FMT, row, __rstart + __nrows - 1); for (PetscInt __i = 0; __i < nc; ++__i) { \
1259     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1260     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1261   })
1262 
1263 /*MC
1264    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1265    inserted using a local number of the rows and columns
1266 
1267    Synopsis:
1268    #include <petscmat.h>
1269    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1270 
1271    Not Collective
1272 
1273    Input Parameters:
1274 +  nrows - the number of rows indicated
1275 .  rows  - the indices of the rows
1276 .  ncols - the number of columns in the matrix
1277 .  cols  - the columns indicated
1278 .  dnz   - the array that will be passed to the matrix preallocation routines
1279 -  onz   - the other array passed to the matrix preallocation routines
1280 
1281    Level: deprecated (since v3.19)
1282 
1283    Notes:
1284    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1285    the use of this routine
1286 
1287    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1288 
1289    This is a MACRO, not a function, because it uses variables declared in MatPreallocateBegin().
1290 
1291 .seealso: [](ch_matrices), `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1292           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1293 M*/
1294 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1295   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1296     if (cols[__i] >= __end) onz[row - __rstart]++; \
1297     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1298   })
1299 
1300 /*MC
1301    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1302 
1303    Synopsis:
1304    #include <petscmat.h>
1305    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1306 
1307    Not Collective
1308 
1309    Input Parameters:
1310 +  A     - matrix
1311 .  row   - row where values exist (must be local to this process)
1312 .  ncols - number of columns
1313 .  cols  - columns with nonzeros
1314 .  dnz   - the array that will be passed to the matrix preallocation routines
1315 -  onz   - the other array passed to the matrix preallocation routines
1316 
1317    Level: deprecated (since v3.19)
1318 
1319    Notes:
1320    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1321    the use of this routine
1322 
1323    Do not malloc or free `dnz` and `onz` that is handled internally by these routines
1324 
1325    Developer Note:
1326    This is a MACRO, not a function, because it uses a bunch of variables private to the MatPreallocation.... routines.
1327 
1328 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1329           `MatPreallocateSymmetricSetLocalBlock()`
1330 M*/
1331 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1332 
1333 /*MC
1334    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1335    row in a matrix providing the data that one can use to correctly preallocate the matrix.
1336 
1337    Synopsis:
1338    #include <petscmat.h>
1339    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1340 
1341    Collective
1342 
1343    Input Parameters:
1344 +  dnz - the array that was be passed to the matrix preallocation routines
1345 -  onz - the other array passed to the matrix preallocation routines
1346 
1347    Level: deprecated (since v3.19)
1348 
1349    Notes:
1350    This routine is no longer needed since assembling matrices without explicit preallocation will not be slower than
1351    the use of this routine
1352 
1353    Do not malloc or free `dnz` and `onz`, that is handled internally by these routines
1354 
1355    Developer Note:
1356    This is a MACRO, not a function, because it closes the { started in MatPreallocateBegin().
1357 
1358 .seealso: [](ch_matrices), `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1359           `MatPreallocateSymmetricSetLocalBlock()`
1360 M*/
1361 #define MatPreallocateEnd(dnz, onz) \
1362   PetscCall(PetscFree2(dnz, onz)); \
1363   } \
1364   while (0)
1365 
1366 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO(3, 18, 0, "MatPreallocateEnd()", ) MatPreallocateEnd(__VA_ARGS__)
1367 
1368 /* Routines unique to particular data structures */
1369 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1370 
1371 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1372 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1373 
1374 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1375 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1376 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1377 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1378 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1379 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscCount, PetscBool);
1380 
1381 #define MAT_SKIP_ALLOCATION -4
1382 
1383 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1384 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1385 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1386 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1387 
1388 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1389 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1390 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1391 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1392 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1393 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1394 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1395 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1396 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1397 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1398 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1399 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1400 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1401 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1402 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1403 
1404 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1405 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1406 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatDenseSetLDA()", ) static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1407 {
1408   return MatDenseSetLDA(A, lda);
1409 }
1410 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1411 
1412 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1413 
1414 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1415 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1416 
1417 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1418 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1419 /*
1420   These routines are not usually accessed directly, rather solving is
1421   done through the KSP and PC interfaces.
1422 */
1423 
1424 /*J
1425    MatOrderingType - String with the name of a PETSc matrix ordering. These orderings are most commonly used
1426    to reduce fill in sparse factorizations.
1427 
1428    Level: beginner
1429 
1430    Notes:
1431    If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and instead the external factorization solver package called utilizes one
1432    of its own.
1433 
1434    There is no `MatOrdering` object, the ordering is obtained directly from the matrix with `MatGetOrdering()`
1435 
1436    Developer Note:
1437    This API should be converted to an API similar to those for `MatColoring` and `MatPartitioning`
1438 
1439 .seealso: [](ch_matrices), [](sec_graph), `MatGetFactor()`, `MatGetOrdering()`, `MatColoringType`, `MatPartitioningType`, `MatCoarsenType`, `MatCoarsenType`,
1440           `PCFactorSetOrderingType()`
1441 J*/
1442 typedef const char *MatOrderingType;
1443 #define MATORDERINGNATURAL       "natural"
1444 #define MATORDERINGND            "nd"
1445 #define MATORDERING1WD           "1wd"
1446 #define MATORDERINGRCM           "rcm"
1447 #define MATORDERINGQMD           "qmd"
1448 #define MATORDERINGROWLENGTH     "rowlength"
1449 #define MATORDERINGWBM           "wbm"
1450 #define MATORDERINGSPECTRAL      "spectral"
1451 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1452 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1453 #define MATORDERINGNATURAL_OR_ND "natural_or_nd" /* special coase used for Cholesky and ICC, allows ND when AIJ matrix is used but Natural when SBAIJ is used */
1454 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1455 
1456 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1457 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1458 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1459 PETSC_EXTERN PetscFunctionList MatOrderingList;
1460 
1461 #include "petscmatcoarsen.h"
1462 
1463 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1464 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1465 
1466 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1467 
1468 /*S
1469    MatFactorShiftType - Type of numeric shift used for factorizations
1470 
1471    Values:
1472 +  `MAT_SHIFT_NONE`              - do not shift the matrix diagonal entries
1473 .  `MAT_SHIFT_NONZERO`           - shift the entries to be non-zero
1474 .  `MAT_SHIFT_POSITIVE_DEFINITE` - shift the entries to force the factorization to be positive definite
1475 -  `MAT_SHIFT_INBLOCKS`          - only shift the factors inside the small dense diagonal blocks of the matrix, for example with `MATBAIJ`
1476 
1477    Level: intermediate
1478 
1479 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `PCFactorSetShiftType()`
1480 S*/
1481 typedef enum {
1482   MAT_SHIFT_NONE,
1483   MAT_SHIFT_NONZERO,
1484   MAT_SHIFT_POSITIVE_DEFINITE,
1485   MAT_SHIFT_INBLOCKS
1486 } MatFactorShiftType;
1487 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1488 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1489 
1490 /*S
1491     MatFactorError - indicates what type of error was generated in a matrix factorization
1492 
1493     Values:
1494 +   `MAT_FACTOR_NOERROR`           - there was no error during the factorization
1495 .   `MAT_FACTOR_STRUCT_ZEROPIVOT`  - there was a missing entry in a diagonal location of the matrix
1496 .   `MAT_FACTOR_NUMERIC_ZEROPIVOT` - there was a (near) zero pivot during the factorization
1497 .   `MAT_FACTOR_OUTMEMORY`         - the factorization has run out of memory
1498 -   `MAT_FACTOR_OTHER`             - some other error has occurred.
1499 
1500     Level: intermediate
1501 
1502     Note:
1503     When a factorization is done in a preconditioner `PC` the error may be propagated up to a `PCFailedReason` or a `KSPConvergedReason`
1504 
1505 .seealso: [](ch_matrices), `Mat`, `MatGetFactor()`, `MatFactorGetError()`, `MatFactorGetErrorZeroPivot()`, `MatFactorClearError()`,
1506           `PCFailedReason`, `PCGetFailedReason()`, `KSPConvergedReason`
1507 S*/
1508 typedef enum {
1509   MAT_FACTOR_NOERROR,
1510   MAT_FACTOR_STRUCT_ZEROPIVOT,
1511   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1512   MAT_FACTOR_OUTMEMORY,
1513   MAT_FACTOR_OTHER
1514 } MatFactorError;
1515 
1516 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1517 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1518 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1519 
1520 /*S
1521    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1522 
1523    Level: developer
1524 
1525    Note:
1526    You can use `MatFactorInfoInitialize()` to set default values.
1527 
1528    Fortran Note:
1529    `MatFactorInfo` is a derived type, use e.g. `matfactorinfo%dt` to access its components.
1530 
1531 .seealso: [](ch_matrices), `Mat`, `MatInfo`, `MatGetFactor()`, `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`,
1532           `MatICCFactorSymbolic()`, `MatICCFactor()`, `MatFactorInfoInitialize()`
1533 S*/
1534 typedef struct {
1535   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1536   PetscReal usedt;
1537   PetscReal dt;            /* drop tolerance */
1538   PetscReal dtcol;         /* tolerance for pivoting */
1539   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1540   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1541   PetscReal levels;        /* ICC/ILU(levels) */
1542   PetscReal pivotinblocks; /* BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0 factorization may be faster if do not pivot */
1543   PetscReal zeropivot;     /* pivot is called zero if less than this */
1544   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1545   PetscReal shiftamount;   /* how large the shift is */
1546   PetscBool factoronhost;  /* do factorization on host instead of device (for device matrix types) */
1547   PetscBool solveonhost;   /* do mat solve on host with the factor (for device matrix types) */
1548 } MatFactorInfo;
1549 
1550 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1551 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1552 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1553 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1554 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1555 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1556 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1557 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1558 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1559 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1560 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1561 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1562 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1563 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1564 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1565 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1566 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1567 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1568 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1569 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1570 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1571 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1572 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1573 
1574 typedef enum {
1575   MAT_FACTOR_SCHUR_UNFACTORED,
1576   MAT_FACTOR_SCHUR_FACTORED,
1577   MAT_FACTOR_SCHUR_INVERTED
1578 } MatFactorSchurStatus;
1579 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1580 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1581 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1582 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1583 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1584 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1585 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1586 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1587 
1588 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1589 /*E
1590    MatSORType - What type of (S)SOR to perform
1591 
1592    Values:
1593 +  `SOR_FORWARD_SWEEP`         - do a sweep from the first row of the matrix to the last
1594 .  `SOR_BACKWARD_SWEEP`        - do a sweep from the last row to the first
1595 .  `SOR_SYMMETRIC_SWEEP`       - do a sweep from the first row to the last and then back to the first
1596 .  `SOR_LOCAL_FORWARD_SWEEP`   - each MPI process does its own forward sweep with no communication
1597 .  `SOR_LOCAL_BACKWARD_SWEEP`  - each MPI process does its own backward sweep with no communication
1598 .  `SOR_LOCAL_SYMMETRIC_SWEEP` - each MPI process does its own symmetric sweep with no communication
1599 .  `SOR_ZERO_INITIAL_GUESS`    - indicates the initial solution is zero so the sweep can avoid unneeded computation
1600 .  `SOR_EISENSTAT`             - apply the Eisentat application of SOR, see `PCEISENSTAT`
1601 .  `SOR_APPLY_UPPER`           - multiply by the upper triangular portion of the matrix
1602 -  `SOR_APPLY_LOWER`           - multiply by the lower triangular portion of the matrix
1603 
1604    Level: beginner
1605 
1606    Note:
1607    These may be bitwise ORd together
1608 
1609    Developer Note:
1610    Since `MatSORType` may be bitwise ORd together, so do not change the numerical values below
1611 
1612 .seealso: [](ch_matrices), `MatSOR()`
1613 E*/
1614 typedef enum {
1615   SOR_FORWARD_SWEEP         = 1,
1616   SOR_BACKWARD_SWEEP        = 2,
1617   SOR_SYMMETRIC_SWEEP       = 3,
1618   SOR_LOCAL_FORWARD_SWEEP   = 4,
1619   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1620   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1621   SOR_ZERO_INITIAL_GUESS    = 16,
1622   SOR_EISENSTAT             = 32,
1623   SOR_APPLY_UPPER           = 64,
1624   SOR_APPLY_LOWER           = 128
1625 } MatSORType;
1626 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1627 
1628 /*S
1629    MatColoring - Object for managing the coloring of matrices.
1630 
1631    Level: beginner
1632 
1633    Notes:
1634    Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1635    matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1636 
1637    Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1638    same object can also be used to efficiently convert data created by Automatic Differentiation tools to PETSc sparse matrices.
1639 
1640 .seealso: [](ch_matrices), [](sec_graph), `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`,
1641           `MatPartitioning`, `MatColoringType`, `MatPartitioningType`, `MatOrderingType`, `MatColoringSetWeightType()`,
1642           `MatColoringSetWeights()`, `MatCoarsenType`, `MatCoarsen`
1643 S*/
1644 typedef struct _p_MatColoring *MatColoring;
1645 
1646 /*J
1647    MatColoringType - String with the name of a PETSc matrix coloring
1648 
1649    Level: beginner
1650 
1651 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatFDColoringCreate()`, `MatColoringSetType()`, `MatColoring`
1652 J*/
1653 typedef const char *MatColoringType;
1654 #define MATCOLORINGJP      "jp"
1655 #define MATCOLORINGPOWER   "power"
1656 #define MATCOLORINGNATURAL "natural"
1657 #define MATCOLORINGSL      "sl"
1658 #define MATCOLORINGLF      "lf"
1659 #define MATCOLORINGID      "id"
1660 #define MATCOLORINGGREEDY  "greedy"
1661 
1662 /*E
1663    MatColoringWeightType - Type of weight scheme used for the coloring algorithm
1664 
1665    Values:
1666 +  `MAT_COLORING_RANDOM`  - Random weights
1667 .  `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1668 -  `MAT_COLORING_LF`      - Last-first weighting.
1669 
1670     Level: intermediate
1671 
1672 .seealso: [](ch_matrices), `MatColoring`, `MatColoringCreate()`, `MatColoringSetWeightType()`, `MatColoringSetWeights()`
1673 E*/
1674 typedef enum {
1675   MAT_COLORING_WEIGHT_RANDOM,
1676   MAT_COLORING_WEIGHT_LEXICAL,
1677   MAT_COLORING_WEIGHT_LF,
1678   MAT_COLORING_WEIGHT_SL
1679 } MatColoringWeightType;
1680 
1681 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1682 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1683 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1684 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1685 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1686 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1687 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1688 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1689 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1690 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1691 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1692 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1693 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1694 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1695 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1696 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1697 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1698 PETSC_DEPRECATED_FUNCTION(3, 10, 0, "MatColoringTest()", ) static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1699 {
1700   return MatColoringTest(matcoloring, iscoloring);
1701 }
1702 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1703 
1704 /*S
1705    MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1706 
1707    Level: beginner
1708 
1709    Options Database Key:
1710 .  -snes_fd_coloring - cause the Jacobian needed by `SNES` to be computed via a use of this object
1711 
1712    Note:
1713    This object is created utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1714 
1715 .seealso: [](ch_matrices), `Mat`, `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1716 S*/
1717 typedef struct _p_MatFDColoring *MatFDColoring;
1718 
1719 /*S
1720   MatFDColoringFn - Function provided to `MatFDColoringSetFunction()` that computes the function being differenced
1721 
1722   Level: advanced
1723 
1724   Calling Sequence:
1725 + snes - either a `SNES` object if used within `SNES` otherwise an unused parameter
1726 . in   - the location where the Jacobian is to be computed
1727 . out  - the location to put the computed function value
1728 - fctx - the function context passed into `MatFDColoringSetFunction()`
1729 
1730 .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
1731 S*/
1732 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatFDColoringFn(void *snes, Vec x, Vec y, void *fctx);
1733 
1734 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1735 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1736 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1737 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, MatFDColoringFn *, void *);
1738 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, MatFDColoringFn **, void **);
1739 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1740 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1741 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1742 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1743 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1744 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1745 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1746 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1747 
1748 /*S
1749    MatTransposeColoring - Object for computing a sparse matrix product $C = A*B^T$ via coloring
1750 
1751    Level: developer
1752 
1753 .seealso: [](ch_matrices), `Mat`, `MatProductType`, `MatTransposeColoringCreate()`
1754 S*/
1755 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1756 
1757 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1758 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1759 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1760 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1761 
1762 /*S
1763    MatPartitioning - Object for managing the partitioning of a matrix or graph
1764 
1765    Level: beginner
1766 
1767    Note:
1768    There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1769    via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1770 
1771    Developer Note:
1772    It is an extra maintenance and documentation cost to have two objects with the same functionality. `PetscPartitioner` should be removed
1773 
1774 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`, `MatOrderingType`,
1775           `MatCoarsenType`, `MatCoarsenType`
1776 S*/
1777 typedef struct _p_MatPartitioning *MatPartitioning;
1778 
1779 /*J
1780     MatPartitioningType - String with the name of a PETSc matrix partitioning
1781 
1782    Level: beginner
1783 dm
1784 .seealso: [](ch_matrices), [](sec_graph), `Mat`, `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`, `MatColoringType`, `MatOrderingType`,
1785           `MatCoarsenType`, `MatCoarsenType`
1786 J*/
1787 typedef const char *MatPartitioningType;
1788 #define MATPARTITIONINGCURRENT  "current"
1789 #define MATPARTITIONINGAVERAGE  "average"
1790 #define MATPARTITIONINGSQUARE   "square"
1791 #define MATPARTITIONINGPARMETIS "parmetis"
1792 #define MATPARTITIONINGCHACO    "chaco"
1793 #define MATPARTITIONINGPARTY    "party"
1794 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1795 #define MATPARTITIONINGHIERARCH "hierarch"
1796 
1797 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1798 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1799 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1800 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1801 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1802 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1803 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1804 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1805 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1806 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1807 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1808 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1809 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1810 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1811 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1812 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1813 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1814 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1815 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1816 
1817 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning);
1818 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1819 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1820 
1821 typedef enum {
1822   MP_CHACO_MULTILEVEL = 1,
1823   MP_CHACO_SPECTRAL   = 2,
1824   MP_CHACO_LINEAR     = 4,
1825   MP_CHACO_RANDOM     = 5,
1826   MP_CHACO_SCATTERED  = 6
1827 } MPChacoGlobalType;
1828 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1829 typedef enum {
1830   MP_CHACO_KERNIGHAN = 1,
1831   MP_CHACO_NONE      = 2
1832 } MPChacoLocalType;
1833 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1834 typedef enum {
1835   MP_CHACO_LANCZOS = 0,
1836   MP_CHACO_RQI     = 1
1837 } MPChacoEigenType;
1838 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1839 
1840 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1841 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1842 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1843 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1844 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1845 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1846 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1847 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1848 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1849 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1850 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1851 
1852 #define MP_PARTY_OPT "opt"
1853 #define MP_PARTY_LIN "lin"
1854 #define MP_PARTY_SCA "sca"
1855 #define MP_PARTY_RAN "ran"
1856 #define MP_PARTY_GBF "gbf"
1857 #define MP_PARTY_GCF "gcf"
1858 #define MP_PARTY_BUB "bub"
1859 #define MP_PARTY_DEF "def"
1860 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1861 #define MP_PARTY_HELPFUL_SETS  "hs"
1862 #define MP_PARTY_KERNIGHAN_LIN "kl"
1863 #define MP_PARTY_NONE          "no"
1864 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1865 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1866 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1867 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1868 
1869 typedef enum {
1870   MP_PTSCOTCH_DEFAULT,
1871   MP_PTSCOTCH_QUALITY,
1872   MP_PTSCOTCH_SPEED,
1873   MP_PTSCOTCH_BALANCE,
1874   MP_PTSCOTCH_SAFETY,
1875   MP_PTSCOTCH_SCALABILITY
1876 } MPPTScotchStrategyType;
1877 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1878 
1879 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1880 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1881 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1882 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1883 
1884 /*
1885  * hierarchical partitioning
1886  */
1887 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1888 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1889 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1890 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1891 
1892 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1893 
1894 /*
1895     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/petsc4py/PETSc/libpetsc4py.pyx
1896 */
1897 typedef enum {
1898   MATOP_SET_VALUES                = 0,
1899   MATOP_GET_ROW                   = 1,
1900   MATOP_RESTORE_ROW               = 2,
1901   MATOP_MULT                      = 3,
1902   MATOP_MULT_ADD                  = 4,
1903   MATOP_MULT_TRANSPOSE            = 5,
1904   MATOP_MULT_TRANSPOSE_ADD        = 6,
1905   MATOP_SOLVE                     = 7,
1906   MATOP_SOLVE_ADD                 = 8,
1907   MATOP_SOLVE_TRANSPOSE           = 9,
1908   MATOP_SOLVE_TRANSPOSE_ADD       = 10,
1909   MATOP_LUFACTOR                  = 11,
1910   MATOP_CHOLESKYFACTOR            = 12,
1911   MATOP_SOR                       = 13,
1912   MATOP_TRANSPOSE                 = 14,
1913   MATOP_GETINFO                   = 15,
1914   MATOP_EQUAL                     = 16,
1915   MATOP_GET_DIAGONAL              = 17,
1916   MATOP_DIAGONAL_SCALE            = 18,
1917   MATOP_NORM                      = 19,
1918   MATOP_ASSEMBLY_BEGIN            = 20,
1919   MATOP_ASSEMBLY_END              = 21,
1920   MATOP_SET_OPTION                = 22,
1921   MATOP_ZERO_ENTRIES              = 23,
1922   MATOP_ZERO_ROWS                 = 24,
1923   MATOP_LUFACTOR_SYMBOLIC         = 25,
1924   MATOP_LUFACTOR_NUMERIC          = 26,
1925   MATOP_CHOLESKY_FACTOR_SYMBOLIC  = 27,
1926   MATOP_CHOLESKY_FACTOR_NUMERIC   = 28,
1927   MATOP_SETUP                     = 29,
1928   MATOP_ILUFACTOR_SYMBOLIC        = 30,
1929   MATOP_ICCFACTOR_SYMBOLIC        = 31,
1930   MATOP_GET_DIAGONAL_BLOCK        = 32,
1931   MATOP_SET_INF                   = 33,
1932   MATOP_DUPLICATE                 = 34,
1933   MATOP_FORWARD_SOLVE             = 35,
1934   MATOP_BACKWARD_SOLVE            = 36,
1935   MATOP_ILUFACTOR                 = 37,
1936   MATOP_ICCFACTOR                 = 38,
1937   MATOP_AXPY                      = 39,
1938   MATOP_CREATE_SUBMATRICES        = 40,
1939   MATOP_INCREASE_OVERLAP          = 41,
1940   MATOP_GET_VALUES                = 42,
1941   MATOP_COPY                      = 43,
1942   MATOP_GET_ROW_MAX               = 44,
1943   MATOP_SCALE                     = 45,
1944   MATOP_SHIFT                     = 46,
1945   MATOP_DIAGONAL_SET              = 47,
1946   MATOP_ZERO_ROWS_COLUMNS         = 48,
1947   MATOP_SET_RANDOM                = 49,
1948   MATOP_GET_ROW_IJ                = 50,
1949   MATOP_RESTORE_ROW_IJ            = 51,
1950   MATOP_GET_COLUMN_IJ             = 52,
1951   MATOP_RESTORE_COLUMN_IJ         = 53,
1952   MATOP_FDCOLORING_CREATE         = 54,
1953   MATOP_COLORING_PATCH            = 55,
1954   MATOP_SET_UNFACTORED            = 56,
1955   MATOP_PERMUTE                   = 57,
1956   MATOP_SET_VALUES_BLOCKED        = 58,
1957   MATOP_CREATE_SUBMATRIX          = 59,
1958   MATOP_DESTROY                   = 60,
1959   MATOP_VIEW                      = 61,
1960   MATOP_CONVERT_FROM              = 62,
1961   MATOP_MATMAT_MULT_SYMBOLIC      = 63,
1962   MATOP_MATMAT_MULT_NUMERIC       = 64,
1963   MATOP_SET_LOCAL_TO_GLOBAL_MAP   = 65,
1964   MATOP_SET_VALUES_LOCAL          = 66,
1965   MATOP_ZERO_ROWS_LOCAL           = 67,
1966   MATOP_GET_ROW_MAX_ABS           = 68,
1967   MATOP_GET_ROW_MIN_ABS           = 69,
1968   MATOP_CONVERT                   = 70,
1969   MATOP_HAS_OPERATION             = 71,
1970   MATOP_FD_COLORING_APPLY         = 72,
1971   MATOP_SET_FROM_OPTIONS          = 73,
1972   MATOP_FIND_ZERO_DIAGONALS       = 74,
1973   MATOP_MULT_MULTIPLE             = 75,
1974   MATOP_SOLVE_MULTIPLE            = 76,
1975   MATOP_GET_INERTIA               = 77,
1976   MATOP_LOAD                      = 78,
1977   MATOP_IS_SYMMETRIC              = 79,
1978   MATOP_IS_HERMITIAN              = 80,
1979   MATOP_IS_STRUCTURALLY_SYMMETRIC = 81,
1980   MATOP_SET_VALUES_BLOCKEDLOCAL   = 82,
1981   MATOP_CREATE_VECS               = 83,
1982   MATOP_MAT_MULT_SYMBOLIC         = 84,
1983   MATOP_MAT_MULT_NUMERIC          = 85,
1984   MATOP_PTAP_NUMERIC              = 86,
1985   MATOP_MAT_TRANSPOSE_MULT_SYMBO  = 87,
1986   MATOP_MAT_TRANSPOSE_MULT_NUMER  = 88,
1987   MATOP_BIND_TO_CPU               = 89,
1988   MATOP_PRODUCTSETFROMOPTIONS     = 90,
1989   MATOP_PRODUCTSYMBOLIC           = 91,
1990   MATOP_PRODUCTNUMERIC            = 92,
1991   MATOP_CONJUGATE                 = 93,
1992   MATOP_VIEW_NATIVE               = 94,
1993   MATOP_SET_VALUES_ROW            = 95,
1994   MATOP_REAL_PART                 = 96,
1995   MATOP_IMAGINARY_PART            = 97,
1996   MATOP_GET_ROW_UPPER_TRIANGULAR  = 98,
1997   MATOP_RESTORE_ROW_UPPER_TRIANG  = 99,
1998   MATOP_MAT_SOLVE                 = 100,
1999   MATOP_MAT_SOLVE_TRANSPOSE       = 101,
2000   MATOP_GET_ROW_MIN               = 102,
2001   MATOP_GET_COLUMN_VECTOR         = 103,
2002   MATOP_MISSING_DIAGONAL          = 104,
2003   MATOP_GET_SEQ_NONZERO_STRUCTUR  = 105,
2004   MATOP_CREATE                    = 106,
2005   MATOP_GET_GHOSTS                = 107,
2006   MATOP_GET_LOCAL_SUB_MATRIX      = 108,
2007   MATOP_RESTORE_LOCALSUB_MATRIX   = 109,
2008   MATOP_MULT_DIAGONAL_BLOCK       = 110,
2009   MATOP_HERMITIAN_TRANSPOSE       = 111,
2010   MATOP_MULT_HERMITIAN_TRANSPOSE  = 112,
2011   MATOP_MULT_HERMITIAN_TRANS_ADD  = 113,
2012   MATOP_GET_MULTI_PROC_BLOCK      = 114,
2013   MATOP_FIND_NONZERO_ROWS         = 115,
2014   MATOP_GET_COLUMN_NORMS          = 116,
2015   MATOP_INVERT_BLOCK_DIAGONAL     = 117,
2016   MATOP_INVERT_VBLOCK_DIAGONAL    = 118,
2017   MATOP_CREATE_SUB_MATRICES_MPI   = 119,
2018   MATOP_SET_VALUES_BATCH          = 120,
2019   MATOP_TRANSPOSE_MAT_MULT_SYMBO  = 121,
2020   MATOP_TRANSPOSE_MAT_MULT_NUMER  = 122,
2021   MATOP_TRANSPOSE_COLORING_CREAT  = 123,
2022   MATOP_TRANS_COLORING_APPLY_SPT  = 124,
2023   MATOP_TRANS_COLORING_APPLY_DEN  = 125,
2024   MATOP_RART_NUMERIC              = 126,
2025   MATOP_SET_BLOCK_SIZES           = 127,
2026   MATOP_RESIDUAL                  = 128,
2027   MATOP_FDCOLORING_SETUP          = 129,
2028   MATOP_FIND_OFFBLOCK_ENTRIES     = 130,
2029   MATOP_MPICONCATENATESEQ         = 131,
2030   MATOP_DESTROYSUBMATRICES        = 132,
2031   MATOP_MAT_TRANSPOSE_SOLVE       = 133,
2032   MATOP_GET_VALUES_LOCAL          = 134,
2033   MATOP_CREATE_GRAPH              = 135,
2034   MATOP_TRANSPOSE_SYMBOLIC        = 136,
2035   MATOP_ELIMINATE_ZEROS           = 137,
2036   MATOP_GET_ROW_SUM_ABS           = 138,
2037   MATOP_GET_FACTOR                = 139,
2038   MATOP_GET_BLOCK_DIAGONAL        = 140, /* NOTE: caller of the two op functions owns the returned matrix */
2039   MATOP_GET_VBLOCK_DIAGONAL       = 141, /* and need to destroy it after use. */
2040   MATOP_COPY_HASH_TO_XAIJ         = 142,
2041   MATOP_GET_CURRENT_MEM_TYPE      = 143,
2042   MATOP_ZERO_ROWS_COLUMNS_LOCAL   = 144
2043 } MatOperation;
2044 
2045 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
2046 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
2047 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
2048 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
2049 PETSC_DEPRECATED_FUNCTION(3, 14, 0, "MatProductClear()", ) static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
2050 {
2051   return MatProductClear(A);
2052 }
2053 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
2054 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
2055 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
2056 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscCtxDestroyFn *);
2057 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
2058 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2059 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
2060 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
2061 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
2062 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
2063 
2064 /*
2065    Codes for matrices stored on disk. By default they are
2066    stored in a universal format. By changing the format with
2067    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
2068    be stored in a way natural for the matrix, for example dense matrices
2069    would be stored as dense. Matrices stored this way may only be
2070    read into matrices of the same type.
2071 */
2072 #define MATRIX_BINARY_FORMAT_DENSE -1
2073 
2074 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
2075 
2076 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
2077 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
2078 PETSC_EXTERN PetscErrorCode MatISSetAllowRepeated(Mat, PetscBool);
2079 PETSC_EXTERN PetscErrorCode MatISGetAllowRepeated(Mat, PetscBool *);
2080 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
2081 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
2082 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
2083 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
2084 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
2085 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
2086 
2087 /*S
2088    MatNullSpace - Object that removes a null space from a vector, i.e.
2089                   orthogonalizes the vector to a subspace
2090 
2091    Level: advanced
2092 
2093 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2094 S*/
2095 typedef struct _p_MatNullSpace *MatNullSpace;
2096 
2097 /*S
2098   MatNullSpaceRemoveFn - Function provided to `MatNullSpaceSetFunction()` that removes the null space from a vector
2099 
2100   Level: advanced
2101 
2102   Calling Sequence:
2103 + nsp - the `MatNullSpace` object
2104 . x   - the vector from which to remove the null space
2105 - ctx - [optional] user-defined function context provided with `MatNullSpaceSetFunction()`
2106 
2107 .seealso: [](ch_matrices), `Mat`, `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
2108 S*/
2109 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatNullSpaceRemoveFn(MatNullSpace nsp, Vec x, void *ctx);
2110 
2111 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
2112 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, MatNullSpaceRemoveFn *, void *);
2113 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
2114 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
2115 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
2116 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
2117 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
2118 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
2119 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
2120 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
2121 PETSC_EXTERN PetscErrorCode MatGetNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2122 PETSC_EXTERN PetscErrorCode MatRestoreNullSpaces(PetscInt, Mat[], MatNullSpace *[]);
2123 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
2124 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
2125 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
2126 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
2127 
2128 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
2129 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
2130 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
2131 
2132 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
2133 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
2134 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
2135 
2136 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
2137 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
2138 
2139 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperator()", ) static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
2140 {
2141   return MatComputeOperator(A, PETSC_NULLPTR, B);
2142 }
2143 PETSC_DEPRECATED_FUNCTION(3, 12, 0, "MatComputeOperatorTranspose()", ) static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
2144 {
2145   return MatComputeOperatorTranspose(A, PETSC_NULLPTR, B);
2146 }
2147 
2148 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
2149 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
2150 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
2151 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2152 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
2153 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
2154 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
2155 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
2156 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
2157 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
2158 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
2159 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
2160 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
2161 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
2162 
2163 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
2164 
2165 PETSC_EXTERN PetscErrorCode MatMFFDInitializePackage(void);
2166 PETSC_EXTERN PetscErrorCode MatMFFDFinalizePackage(void);
2167 
2168 /*S
2169   MatMFFDFn - Function provided to `MatMFFDSetFunction()` that computes the function being differenced
2170 
2171   Level: advanced
2172 
2173   Calling Sequence:
2174 + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2175 . x   - input vector
2176 - y   - output vector
2177 
2178 .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDiFn`, `MatMFFDiBaseFn`
2179 S*/
2180 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDFn(void *ctx, Vec x, Vec y);
2181 
2182 /*S
2183   MatMFFDiFn - Function provided to `MatMFFDSetFunctioni()` that computes the function being differenced at a single point
2184 
2185   Level: advanced
2186 
2187   Calling Sequence:
2188 + ctx    - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2189 . i      - the component of the vector to compute
2190 . x      - input vector
2191 - result - the value of the function at that component (output)
2192 
2193 .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDFn`, `MatMFFDiBaseFn`
2194 S*/
2195 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiFn(void *ctx, PetscInt i, Vec x, PetscScalar *result);
2196 
2197 /*S
2198   MatMFFDiBaseFn - Function provided to `MatMFFDSetFunctioniBase()` that computes the base of the function evaluations
2199   that will be used for differencing
2200 
2201   Level: advanced
2202 
2203   Calling Sequence:
2204 + ctx - [optional] user-defined function context provided with `MatMFFDSetFunction()`
2205 - x   - input base vector
2206 
2207 .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`, `MatMFFDSetFunction()`, `MatMFFDSetFunctioniBase()`, `MatMFFDFn`, `MatMFFDiFn`
2208 S*/
2209 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDiBaseFn(void *ctx, Vec x);
2210 
2211 /*S
2212   MatMFFDCheckhFn - Function provided to `MatMFFDSetCheckh()` that checks and possibly adjusts the value of `h` to ensure some property.
2213   that will be used for differencing
2214 
2215   Level: advanced
2216 
2217   Calling Sequence:
2218 + ctx - [optional] user-defined function context provided with `MatMFFDSetCheckh()`
2219 . x   - input base vector
2220 . y   - input step vector that the product is computed with
2221 - h   - input tentative step, output possibly adjusted step
2222 
2223   Note:
2224   `MatMFFDCheckPositivity()` is one such function
2225 
2226 .seealso: [](ch_matrices), `Mat`, `MatCreateMFFD()`,  `MatMFFDSetCheckh()`, `MatMFFDCheckPositivity()`
2227 S*/
2228 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode MatMFFDCheckhFn(void *ctx, Vec x, Vec y, PetscScalar *h);
2229 
2230 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2231 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
2232 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, MatMFFDFn *, void *);
2233 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, MatMFFDiFn *);
2234 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, MatMFFDiBaseFn *);
2235 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2236 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2237 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2238 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2239 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2240 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2241 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2242 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, MatMFFDCheckhFn *, void *);
2243 
2244 /*S
2245     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2246               Jacobian vector products
2247 
2248     Level: developer
2249 
2250     Notes:
2251     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2252 
2253      MatMFFD*() methods actually take the `Mat` as their first argument. Not a `MatMFFD` data structure
2254 
2255     This functionality is often obtained using `MatCreateSNESMF()` or with `SNES` solvers using `-snes_mf` or `-snes_mf_operator`
2256 
2257 .seealso: [](ch_matrices), `MatMFFDType`, `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`,
2258           `MatCreateSNESMF()`, `SNES`, `-snes_mf`, `-snes_mf_operator`
2259 S*/
2260 typedef struct _p_MatMFFD *MatMFFD;
2261 
2262 /*J
2263    MatMFFDType - algorithm used to compute the `h` used in computing matrix-vector products via differencing of a function
2264 
2265    Values:
2266 +   `MATMFFD_DS` - an algorithm described by Dennis and Schnabel {cite}`dennis:83`
2267 -   `MATMFFD_WP` - the Walker-Pernice {cite}`pw98` strategy.
2268 
2269    Level: beginner
2270 
2271 .seealso: [](ch_matrices), `MatMFFDSetType()`, `MatMFFDRegister()`, `MatMFFDSetFunction()`, `MatCreateMFFD()`
2272 J*/
2273 typedef const char *MatMFFDType;
2274 #define MATMFFD_DS "ds"
2275 #define MATMFFD_WP "wp"
2276 
2277 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2278 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2279 
2280 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2281 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2282 
2283 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2284 
2285 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2286 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2287 
2288 #ifdef PETSC_HAVE_H2OPUS
2289 PETSC_EXTERN_TYPEDEF typedef PetscScalar(MatH2OpusKernelFn)(PetscInt, PetscReal[], PetscReal[], void *);
2290 PETSC_EXTERN_TYPEDEF typedef MatH2OpusKernelFn *MatH2OpusKernel;
2291 
2292 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernelFn *, void *, PetscReal, PetscInt, PetscInt, Mat *);
2293 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2294 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2295 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2296 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2297 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2298 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2299 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2300 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2301 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2302 #endif
2303 
2304 #ifdef PETSC_HAVE_HTOOL
2305 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode    MatHtoolKernelFn(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2306 PETSC_EXTERN_TYPEDEF typedef MatHtoolKernelFn *MatHtoolKernel;
2307 
2308 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernelFn *, void *, Mat *);
2309 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernelFn *, void *);
2310 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2311 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2312 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2313 PETSC_EXTERN PetscErrorCode MatHtoolUseRecompression(Mat, PetscBool);
2314 
2315 /*E
2316    MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2317 
2318    Values:
2319 +  `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2320 .  `MAT_HTOOL_COMPRESSOR_FULL_ACA`                 - full adaptive cross approximation
2321 -  `MAT_HTOOL_COMPRESSOR_SVD`                      - singular value decomposition
2322 
2323    Level: intermediate
2324 
2325 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2326 E*/
2327 typedef enum {
2328   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2329   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2330   MAT_HTOOL_COMPRESSOR_SVD
2331 } MatHtoolCompressorType;
2332 
2333 /*E
2334    MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2335 
2336    Values:
2337 +  `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default)    - axis computed via principle component analysis, split uniformly
2338 .  `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC`            - axis computed via principle component analysis, split barycentrically
2339 .  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR`   - axis along the largest extent of the bounding box, split uniformly
2340 -  `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2341 
2342    Level: intermediate
2343 
2344    Note:
2345    Higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2346 
2347 .seealso: [](ch_matrices), `Mat`, `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2348 E*/
2349 typedef enum {
2350   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2351   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2352   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2353   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2354 } MatHtoolClusteringType;
2355 #endif
2356 
2357 #ifdef PETSC_HAVE_MUMPS
2358 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2359 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2360 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2361 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2362 
2363 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2364 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2365 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2366 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2367 PETSC_EXTERN PetscErrorCode MatMumpsGetNullPivots(Mat, PetscInt *, PetscInt **);
2368 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2369 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2370 PETSC_EXTERN PetscErrorCode MatMumpsSetBlk(Mat, PetscInt, const PetscInt[], const PetscInt[]);
2371 #else
2372 static inline PetscErrorCode MatMumpsSetIcntl(PETSC_UNUSED Mat F, PETSC_UNUSED PetscInt icntl, PETSC_UNUSED PetscInt ival)
2373 {
2374   return PETSC_SUCCESS;
2375 }
2376 static inline PetscErrorCode MatMumpsSetCntl(PETSC_UNUSED Mat F, PETSC_UNUSED PetscInt icntl, PETSC_UNUSED PetscReal val)
2377 {
2378   return PETSC_SUCCESS;
2379 }
2380 #endif
2381 
2382 #ifdef PETSC_HAVE_MKL_PARDISO
2383 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2384 #endif
2385 
2386 #ifdef PETSC_HAVE_MKL_CPARDISO
2387 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2388 #endif
2389 
2390 #ifdef PETSC_HAVE_SUPERLU
2391 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2392 #endif
2393 
2394 #ifdef PETSC_HAVE_SUPERLU_DIST
2395 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2396 #endif
2397 
2398 #ifdef PETSC_HAVE_STRUMPACK
2399 /*E
2400     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `MATSOLVERSTRUMPACK`
2401 
2402     Values:
2403 +  `MAT_STRUMPACK_NATURAL`   - use the current ordering
2404 .  `MAT_STRUMPACK_METIS`     - use MeTis to compute an ordering
2405 .  `MAT_STRUMPACK_PARMETIS`  - use ParMeTis to compute an ordering
2406 .  `MAT_STRUMPACK_SCOTCH`    - use Scotch to compute an ordering
2407 .  `MAT_STRUMPACK_PTSCOTCH`  - use parallel Scotch to compute an ordering
2408 .  `MAT_STRUMPACK_RCM`       - use an RCM ordering
2409 .  `MAT_STRUMPACK_GEOMETRIC` - use a geometric ordering (needs mesh info from user)
2410 .  `MAT_STRUMPACK_AMD`       - approximate minimum degree
2411 .  `MAT_STRUMPACK_MMD`       - multiple minimum degree
2412 .  `MAT_STRUMPACK_AND`       - approximate nested dissection
2413 .  `MAT_STRUMPACK_MLF`       - minimum local fill
2414 -  `MAT_STRUMPACK_SPECTRAL`  - spectral nested dissection
2415 
2416     Level: intermediate
2417 
2418     Developer Note:
2419     Should be called `MatSTRUMPACKReorderingType`
2420 
2421 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetReordering()`
2422 E*/
2423 typedef enum {
2424   MAT_STRUMPACK_NATURAL,
2425   MAT_STRUMPACK_METIS,
2426   MAT_STRUMPACK_PARMETIS,
2427   MAT_STRUMPACK_SCOTCH,
2428   MAT_STRUMPACK_PTSCOTCH,
2429   MAT_STRUMPACK_RCM,
2430   MAT_STRUMPACK_GEOMETRIC,
2431   MAT_STRUMPACK_AMD,
2432   MAT_STRUMPACK_MMD,
2433   MAT_STRUMPACK_AND,
2434   MAT_STRUMPACK_MLF,
2435   MAT_STRUMPACK_SPECTRAL
2436 } MatSTRUMPACKReordering;
2437 
2438 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2439 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetReordering(Mat, MatSTRUMPACKReordering *);
2440 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricNxyz(Mat, PetscInt, PetscInt, PetscInt);
2441 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricComponents(Mat, PetscInt);
2442 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGeometricWidth(Mat, PetscInt);
2443 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2444 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetColPerm(Mat, PetscBool *);
2445 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetGPU(Mat, PetscBool);
2446 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetGPU(Mat, PetscBool *);
2447 
2448 /*E
2449     MatSTRUMPACKCompressionType - Compression used in the approximate sparse factorization solver `MATSOLVERSTRUMPACK`
2450 
2451     Values:
2452 +  `MAT_STRUMPACK_COMPRESSION_TYPE_NONE`          - no compression, direct solver
2453 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HSS`           - hierarchically semi-separable
2454 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR`           - block low rank
2455 .  `MAT_STRUMPACK_COMPRESSION_TYPE_HODLR`         - hierarchically off-diagonal low rank (requires ButterfyPACK support, configure with --download-butterflypack)
2456 .  `MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR`     - hybrid of BLR and HODLR (requires ButterfyPACK support, configure with --download-butterflypack)
2457 .  `MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR` - hybrid of lossy (ZFP), BLR and HODLR (requires ButterfyPACK and ZFP support, configure with --download-butterflypack --download-zfp)
2458 .  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS`      - lossless compression (requires ZFP support, configure with --download-zfp)
2459 -  `MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY`         - lossy compression (requires ZFP support, configure with --download-zfp)
2460 
2461     Level: intermediate
2462 
2463 .seealso: `Mat`, `MATSOLVERSTRUMPACK`, `MatGetFactor()`, `MatSTRUMPACKSetCompression()`
2464 E*/
2465 typedef enum {
2466   MAT_STRUMPACK_COMPRESSION_TYPE_NONE,
2467   MAT_STRUMPACK_COMPRESSION_TYPE_HSS,
2468   MAT_STRUMPACK_COMPRESSION_TYPE_BLR,
2469   MAT_STRUMPACK_COMPRESSION_TYPE_HODLR,
2470   MAT_STRUMPACK_COMPRESSION_TYPE_BLR_HODLR,
2471   MAT_STRUMPACK_COMPRESSION_TYPE_ZFP_BLR_HODLR,
2472   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSLESS,
2473   MAT_STRUMPACK_COMPRESSION_TYPE_LOSSY
2474 } MatSTRUMPACKCompressionType;
2475 
2476 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompression(Mat, MatSTRUMPACKCompressionType);
2477 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompression(Mat, MatSTRUMPACKCompressionType *);
2478 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompRelTol(Mat, PetscReal);
2479 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompRelTol(Mat, PetscReal *);
2480 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompAbsTol(Mat, PetscReal);
2481 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompAbsTol(Mat, PetscReal *);
2482 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompMinSepSize(Mat, PetscInt);
2483 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompMinSepSize(Mat, PetscInt *);
2484 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLeafSize(Mat, PetscInt);
2485 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLeafSize(Mat, PetscInt *);
2486 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompLossyPrecision(Mat, PetscInt);
2487 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompLossyPrecision(Mat, PetscInt *);
2488 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetCompButterflyLevels(Mat, PetscInt);
2489 PETSC_EXTERN PetscErrorCode MatSTRUMPACKGetCompButterflyLevels(Mat, PetscInt *);
2490 #endif
2491 
2492 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2493 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2494 PETSC_DEPRECATED_FUNCTION(3, 13, 0, "MatBindToCPU()", ) static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2495 {
2496   return MatBindToCPU(A, flg);
2497 }
2498 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2499 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2500 
2501 #ifdef PETSC_HAVE_CUDA
2502 /*E
2503     MatCUSPARSEStorageFormat - indicates the storage format for `MATAIJCUSPARSE` (GPU)
2504     matrices.
2505 
2506     Values:
2507 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2508 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2509 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2510 
2511     Level: intermediate
2512 
2513 .seealso: [](ch_matrices), `MATAIJCUSPARSE`, `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2514 E*/
2515 
2516 typedef enum {
2517   MAT_CUSPARSE_CSR,
2518   MAT_CUSPARSE_ELL,
2519   MAT_CUSPARSE_HYB
2520 } MatCUSPARSEStorageFormat;
2521 
2522 /* these will be strings associated with enumerated type defined above */
2523 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2524 
2525 /*E
2526     MatCUSPARSEFormatOperation - indicates the operation of `MATAIJCUSPARSE` (GPU)
2527     matrices whose operation should use a particular storage format.
2528 
2529     Values:
2530 +   `MAT_CUSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2531 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2532 .   `MAT_CUSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2533 -   `MAT_CUSPARSE_ALL`          - sets the storage format for all `MATAIJCUSPARSE` (GPU) matrices
2534 
2535     Level: intermediate
2536 
2537 .seealso: [](ch_matrices), `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2538 E*/
2539 typedef enum {
2540   MAT_CUSPARSE_MULT_DIAG,
2541   MAT_CUSPARSE_MULT_OFFDIAG,
2542   MAT_CUSPARSE_MULT,
2543   MAT_CUSPARSE_ALL
2544 } MatCUSPARSEFormatOperation;
2545 
2546 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2547 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2548 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2549 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2550 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2551 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2552 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2553 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2554 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2555 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2556 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2557 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2558 
2559 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2560 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2561 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2562 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2563 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2564 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2565 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2566 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2567 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2568 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2569 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2570 PETSC_EXTERN PetscErrorCode MatDenseCUDASetPreallocation(Mat, PetscScalar *);
2571 
2572 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2573 PETSC_EXTERN PetscErrorCode MatCreateSELLCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2574 #endif
2575 
2576 #ifdef PETSC_HAVE_HIP
2577 /*E
2578     MatHIPSPARSEStorageFormat - indicates the storage format for `MATAIJHIPSPARSE` (GPU)
2579     matrices.
2580 
2581     Values:
2582 +   `MAT_HIPSPARSE_CSR` - Compressed Sparse Row
2583 .   `MAT_HIPSPARSE_ELL` - Ellpack
2584 -   `MAT_HIPSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format
2585 
2586     Level: intermediate
2587 
2588 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2589 E*/
2590 
2591 typedef enum {
2592   MAT_HIPSPARSE_CSR,
2593   MAT_HIPSPARSE_ELL,
2594   MAT_HIPSPARSE_HYB
2595 } MatHIPSPARSEStorageFormat;
2596 
2597 /* these will be strings associated with enumerated type defined above */
2598 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2599 
2600 /*E
2601     MatHIPSPARSEFormatOperation - indicates the operation of `MATAIJHIPSPARSE` (GPU)
2602     matrices whose operation should use a particular storage format.
2603 
2604     Values:
2605 +   `MAT_HIPSPARSE_MULT_DIAG`    - sets the storage format for the diagonal matrix in the parallel `MatMult()`
2606 .   `MAT_HIPSPARSE_MULT_OFFDIAG` - sets the storage format for the off-diagonal matrix in the parallel `MatMult()`
2607 .   `MAT_HIPSPARSE_MULT`         - sets the storage format for the entire matrix in the serial (single GPU) `MatMult()`
2608 -   `MAT_HIPSPARSE_ALL`          - sets the storage format for all HIPSPARSE (GPU) matrices
2609 
2610     Level: intermediate
2611 
2612 .seealso: [](ch_matrices), `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2613 E*/
2614 typedef enum {
2615   MAT_HIPSPARSE_MULT_DIAG,
2616   MAT_HIPSPARSE_MULT_OFFDIAG,
2617   MAT_HIPSPARSE_MULT,
2618   MAT_HIPSPARSE_ALL
2619 } MatHIPSPARSEFormatOperation;
2620 
2621 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2622 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2623 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2624 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2625 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2626 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2627 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2628 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2629 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2630 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2631 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2632 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2633 
2634 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2635 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2636 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2637 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2638 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2639 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2640 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2641 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2642 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2643 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2644 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2645 PETSC_EXTERN PetscErrorCode MatDenseHIPSetPreallocation(Mat, PetscScalar *);
2646 PETSC_EXTERN PetscErrorCode MatCreateSeqSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2647 PETSC_EXTERN PetscErrorCode MatCreateSELLHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2648 #endif
2649 
2650 #if defined(PETSC_HAVE_VIENNACL)
2651 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2652 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2653 #endif
2654 
2655 #if PetscDefined(HAVE_KOKKOS)
2656 PETSC_EXTERN PetscErrorCode MatCreateAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2657 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJKokkos(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2658 #endif
2659 
2660 #if defined(PETSC_HAVE_FFTW)
2661 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2662 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2663 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2664 #endif
2665 
2666 #if defined(PETSC_HAVE_SCALAPACK)
2667 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2668 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2669 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2670 #endif
2671 
2672 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2673 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2674 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2675 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2676 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2677 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2678 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2679 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2680 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2681 
2682 PETSC_EXTERN PetscErrorCode MatFilter(Mat, PetscReal, PetscBool, PetscBool);
2683 PETSC_DEPRECATED_FUNCTION(3, 20, 0, "MatFilter()", ) static inline PetscErrorCode MatChop(Mat A, PetscReal tol)
2684 {
2685   return MatFilter(A, tol, PETSC_FALSE, PETSC_FALSE);
2686 }
2687 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2688 
2689 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2690 
2691 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2692 
2693 PETSC_EXTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2694 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2695 
2696 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2697 
2698 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, PetscInt, PetscInt[], Mat *);
2699 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat, PetscBool);
2700 
2701 PETSC_EXTERN PetscErrorCode MatCreateDenseFromVecType(MPI_Comm, VecType, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar *, Mat *);
2702 
2703 PETSC_EXTERN PetscErrorCode MatSetHPL(Mat, int);
2704 #define PETSCBMHPL "hpl"
2705 
2706 PETSC_EXTERN PetscErrorCode MatDFischer(Mat, Vec, Vec, Vec, Vec, Vec, Vec, Vec, Vec);
2707