xref: /petsc/include/petscmat.h (revision 8b5d2d36b1bd7331337e6600e2fff187f080efc8)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 
7 #include <petscvec.h>
8 
9 /* SUBMANSEC = Mat */
10 
11 /*S
12      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
13            an explicit sparse representation (such as matrix-free operators)
14 
15    Level: beginner
16 
17 .seealso: `MatCreate()`, `MatType`, `MatSetType()`, `MatDestroy()`
18 S*/
19 typedef struct _p_Mat *Mat;
20 
21 /*J
22     MatType - String with the name of a PETSc matrix type
23 
24    Level: beginner
25 
26 .seealso: `MatSetType()`, `Mat`, `MatSolverType`, `MatRegister()`
27 J*/
28 typedef const char *MatType;
29 #define MATSAME                      "same"
30 #define MATMAIJ                      "maij"
31 #define MATSEQMAIJ                   "seqmaij"
32 #define MATMPIMAIJ                   "mpimaij"
33 #define MATKAIJ                      "kaij"
34 #define MATSEQKAIJ                   "seqkaij"
35 #define MATMPIKAIJ                   "mpikaij"
36 #define MATIS                        "is"
37 #define MATAIJ                       "aij"
38 #define MATSEQAIJ                    "seqaij"
39 #define MATMPIAIJ                    "mpiaij"
40 #define MATAIJCRL                    "aijcrl"
41 #define MATSEQAIJCRL                 "seqaijcrl"
42 #define MATMPIAIJCRL                 "mpiaijcrl"
43 #define MATAIJCUSPARSE               "aijcusparse"
44 #define MATSEQAIJCUSPARSE            "seqaijcusparse"
45 #define MATMPIAIJCUSPARSE            "mpiaijcusparse"
46 #define MATAIJHIPSPARSE              "aijhipsparse"
47 #define MATSEQAIJHIPSPARSE           "seqaijhipsparse"
48 #define MATMPIAIJHIPSPARSE           "mpiaijhipsparse"
49 #define MATAIJKOKKOS                 "aijkokkos"
50 #define MATSEQAIJKOKKOS              "seqaijkokkos"
51 #define MATMPIAIJKOKKOS              "mpiaijkokkos"
52 #define MATAIJVIENNACL               "aijviennacl"
53 #define MATSEQAIJVIENNACL            "seqaijviennacl"
54 #define MATMPIAIJVIENNACL            "mpiaijviennacl"
55 #define MATAIJPERM                   "aijperm"
56 #define MATSEQAIJPERM                "seqaijperm"
57 #define MATMPIAIJPERM                "mpiaijperm"
58 #define MATAIJSELL                   "aijsell"
59 #define MATSEQAIJSELL                "seqaijsell"
60 #define MATMPIAIJSELL                "mpiaijsell"
61 #define MATAIJMKL                    "aijmkl"
62 #define MATSEQAIJMKL                 "seqaijmkl"
63 #define MATMPIAIJMKL                 "mpiaijmkl"
64 #define MATBAIJMKL                   "baijmkl"
65 #define MATSEQBAIJMKL                "seqbaijmkl"
66 #define MATMPIBAIJMKL                "mpibaijmkl"
67 #define MATSHELL                     "shell"
68 #define MATCENTERING                 "centering"
69 #define MATDENSE                     "dense"
70 #define MATDENSECUDA                 "densecuda"
71 #define MATDENSEHIP                  "densehip"
72 #define MATSEQDENSE                  "seqdense"
73 #define MATSEQDENSECUDA              "seqdensecuda"
74 #define MATSEQDENSEHIP               "seqdensehip"
75 #define MATMPIDENSE                  "mpidense"
76 #define MATMPIDENSECUDA              "mpidensecuda"
77 #define MATMPIDENSEHIP               "mpidensehip"
78 #define MATELEMENTAL                 "elemental"
79 #define MATSCALAPACK                 "scalapack"
80 #define MATBAIJ                      "baij"
81 #define MATSEQBAIJ                   "seqbaij"
82 #define MATMPIBAIJ                   "mpibaij"
83 #define MATMPIADJ                    "mpiadj"
84 #define MATSBAIJ                     "sbaij"
85 #define MATSEQSBAIJ                  "seqsbaij"
86 #define MATMPISBAIJ                  "mpisbaij"
87 #define MATMFFD                      "mffd"
88 #define MATNORMAL                    "normal"
89 #define MATNORMALHERMITIAN           "normalh"
90 #define MATLRC                       "lrc"
91 #define MATSCATTER                   "scatter"
92 #define MATBLOCKMAT                  "blockmat"
93 #define MATCOMPOSITE                 "composite"
94 #define MATFFT                       "fft"
95 #define MATFFTW                      "fftw"
96 #define MATSEQCUFFT                  "seqcufft"
97 #define MATSEQHIPFFT                 "seqhipfft"
98 #define MATTRANSPOSEMAT              PETSC_DEPRECATED_MACRO("GCC warning \"MATTRANSPOSEMAT macro is deprecated use MATTRANSPOSEVIRTUAL (since version 3.18)\"") "transpose"
99 #define MATTRANSPOSEVIRTUAL          "transpose"
100 #define MATHERMITIANTRANSPOSEVIRTUAL "hermitiantranspose"
101 #define MATSCHURCOMPLEMENT           "schurcomplement"
102 #define MATPYTHON                    "python"
103 #define MATHYPRE                     "hypre"
104 #define MATHYPRESTRUCT               "hyprestruct"
105 #define MATHYPRESSTRUCT              "hypresstruct"
106 #define MATSUBMATRIX                 "submatrix"
107 #define MATLOCALREF                  "localref"
108 #define MATNEST                      "nest"
109 #define MATPREALLOCATOR              "preallocator"
110 #define MATSELL                      "sell"
111 #define MATSEQSELL                   "seqsell"
112 #define MATMPISELL                   "mpisell"
113 #define MATDUMMY                     "dummy"
114 #define MATLMVM                      "lmvm"
115 #define MATLMVMDFP                   "lmvmdfp"
116 #define MATLMVMBFGS                  "lmvmbfgs"
117 #define MATLMVMSR1                   "lmvmsr1"
118 #define MATLMVMBROYDEN               "lmvmbroyden"
119 #define MATLMVMBADBROYDEN            "lmvmbadbroyden"
120 #define MATLMVMSYMBROYDEN            "lmvmsymbroyden"
121 #define MATLMVMSYMBADBROYDEN         "lmvmsymbadbroyden"
122 #define MATLMVMDIAGBROYDEN           "lmvmdiagbroyden"
123 #define MATCONSTANTDIAGONAL          "constantdiagonal"
124 #define MATHTOOL                     "htool"
125 #define MATH2OPUS                    "h2opus"
126 
127 /*J
128     MatSolverType - String with the name of a PETSc matrix solver type.
129 
130     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
131 
132    Level: beginner
133 
134    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
135 
136 .seealso: `MatGetFactor()`, `PCFactorSetMatSolverType()`, `PCFactorGetMatSolverType()`
137 J*/
138 typedef const char *MatSolverType;
139 #define MATSOLVERSUPERLU         "superlu"
140 #define MATSOLVERSUPERLU_DIST    "superlu_dist"
141 #define MATSOLVERSTRUMPACK       "strumpack"
142 #define MATSOLVERUMFPACK         "umfpack"
143 #define MATSOLVERCHOLMOD         "cholmod"
144 #define MATSOLVERKLU             "klu"
145 #define MATSOLVERSPARSEELEMENTAL "sparseelemental"
146 #define MATSOLVERELEMENTAL       "elemental"
147 #define MATSOLVERSCALAPACK       "scalapack"
148 #define MATSOLVERESSL            "essl"
149 #define MATSOLVERLUSOL           "lusol"
150 #define MATSOLVERMUMPS           "mumps"
151 #define MATSOLVERMKL_PARDISO     "mkl_pardiso"
152 #define MATSOLVERMKL_CPARDISO    "mkl_cpardiso"
153 #define MATSOLVERPASTIX          "pastix"
154 #define MATSOLVERMATLAB          "matlab"
155 #define MATSOLVERPETSC           "petsc"
156 #define MATSOLVERBAS             "bas"
157 #define MATSOLVERCUSPARSE        "cusparse"
158 #define MATSOLVERCUSPARSEBAND    "cusparseband"
159 #define MATSOLVERCUDA            "cuda"
160 #define MATSOLVERHIPSPARSE       "hipsparse"
161 #define MATSOLVERHIPSPARSEBAND   "hipsparseband"
162 #define MATSOLVERHIP             "hip"
163 #define MATSOLVERKOKKOS          "kokkos"
164 #define MATSOLVERKOKKOSDEVICE    "kokkosdevice"
165 #define MATSOLVERSPQR            "spqr"
166 
167 /*E
168     MatFactorType - indicates what type of factorization is requested
169 
170     Level: beginner
171 
172    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
173 
174 .seealso: `MatSolverType`, `MatGetFactor()`, `MatGetFactorAvailable()`, `MatSolverTypeRegister()`
175 E*/
176 typedef enum {
177   MAT_FACTOR_NONE,
178   MAT_FACTOR_LU,
179   MAT_FACTOR_CHOLESKY,
180   MAT_FACTOR_ILU,
181   MAT_FACTOR_ICC,
182   MAT_FACTOR_ILUDT,
183   MAT_FACTOR_QR,
184   MAT_FACTOR_NUM_TYPES
185 } MatFactorType;
186 PETSC_EXTERN const char *const MatFactorTypes[];
187 
188 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat, MatSolverType, MatFactorType, Mat *);
189 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat, MatSolverType, MatFactorType, PetscBool *);
190 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool *);
191 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") static inline PetscErrorCode MatFactorGetUseOrdering(Mat A, PetscBool *b)
192 {
193   return MatFactorGetCanUseOrdering(A, b);
194 }
195 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat, MatSolverType *);
196 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat, MatFactorType *);
197 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat, MatFactorType);
198 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat, MatFactorType, Mat *);
199 PETSC_EXTERN PetscErrorCode            MatSolverTypeRegister(MatSolverType, MatType, MatFactorType, MatSolverFunction);
200 PETSC_EXTERN PetscErrorCode            MatSolverTypeGet(MatSolverType, MatType, MatFactorType, PetscBool *, PetscBool *, MatSolverFunction *);
201 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
202 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") static inline PetscErrorCode MatSolverPackageRegister(MatSolverType stype, MatType mtype, MatFactorType ftype, MatSolverFunction f)
203 {
204   return MatSolverTypeRegister(stype, mtype, ftype, f);
205 }
206 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") static inline PetscErrorCode MatSolverPackageGet(MatSolverType stype, MatType mtype, MatFactorType ftype, PetscBool *foundmtype, PetscBool *foundstype, MatSolverFunction *f)
207 {
208   return MatSolverTypeGet(stype, mtype, ftype, foundmtype, foundstype, f);
209 }
210 
211 /*E
212     MatProductType - indicates what type of matrix product is requested
213 
214     Level: beginner
215 
216 .seealso: `MatProductSetType()`
217 E*/
218 typedef enum {
219   MATPRODUCT_UNSPECIFIED = 0,
220   MATPRODUCT_AB,
221   MATPRODUCT_AtB,
222   MATPRODUCT_ABt,
223   MATPRODUCT_PtAP,
224   MATPRODUCT_RARt,
225   MATPRODUCT_ABC
226 } MatProductType;
227 PETSC_EXTERN const char *const MatProductTypes[];
228 
229 /*J
230     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
231 
232    Level: beginner
233 
234 .seealso: `MatSetType()`, `Mat`, `MatProductSetAlgorithm()`, `MatProductType`
235 J*/
236 typedef const char *MatProductAlgorithm;
237 #define MATPRODUCTALGORITHMDEFAULT         "default"
238 #define MATPRODUCTALGORITHMSORTED          "sorted"
239 #define MATPRODUCTALGORITHMSCALABLE        "scalable"
240 #define MATPRODUCTALGORITHMSCALABLEFAST    "scalable_fast"
241 #define MATPRODUCTALGORITHMHEAP            "heap"
242 #define MATPRODUCTALGORITHMBHEAP           "btheap"
243 #define MATPRODUCTALGORITHMLLCONDENSED     "llcondensed"
244 #define MATPRODUCTALGORITHMROWMERGE        "rowmerge"
245 #define MATPRODUCTALGORITHMOUTERPRODUCT    "outerproduct"
246 #define MATPRODUCTALGORITHMATB             "at*b"
247 #define MATPRODUCTALGORITHMRAP             "rap"
248 #define MATPRODUCTALGORITHMNONSCALABLE     "nonscalable"
249 #define MATPRODUCTALGORITHMSEQMPI          "seqmpi"
250 #define MATPRODUCTALGORITHMBACKEND         "backend"
251 #define MATPRODUCTALGORITHMOVERLAPPING     "overlapping"
252 #define MATPRODUCTALGORITHMMERGED          "merged"
253 #define MATPRODUCTALGORITHMALLATONCE       "allatonce"
254 #define MATPRODUCTALGORITHMALLATONCEMERGED "allatonce_merged"
255 #define MATPRODUCTALGORITHMALLGATHERV      "allgatherv"
256 #define MATPRODUCTALGORITHMCYCLIC          "cyclic"
257 #if defined(PETSC_HAVE_HYPRE)
258   #define MATPRODUCTALGORITHMHYPRE "hypre"
259 #endif
260 
261 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat, Mat, Mat, Mat *);
262 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat, Mat, Mat, Mat);
263 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat, MatProductType);
264 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat, MatProductAlgorithm);
265 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat, PetscReal);
266 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
267 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
268 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
269 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat, Mat, Mat, Mat);
270 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
271 PETSC_EXTERN PetscErrorCode MatProductView(Mat, PetscViewer);
272 PETSC_EXTERN PetscErrorCode MatProductGetType(Mat, MatProductType *);
273 PETSC_EXTERN PetscErrorCode MatProductGetMats(Mat, Mat *, Mat *, Mat *);
274 
275 /* Logging support */
276 #define MAT_FILE_CLASSID 1211216 /* used to indicate matrices in binary files */
277 PETSC_EXTERN PetscClassId MAT_CLASSID;
278 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
279 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
280 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
281 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
282 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
283 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
284 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
285 
286 /*E
287     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
288      are to be reused to store the new matrix values.
289 
290 $  MAT_INITIAL_MATRIX - create a new matrix
291 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
292 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
293 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
294 
295     Level: beginner
296 
297    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
298 
299 .seealso: `MatCreateSubMatrices()`, `MatCreateSubMatrix()`, `MatDestroyMatrices()`, `MatConvert()`
300 E*/
301 typedef enum {
302   MAT_INITIAL_MATRIX,
303   MAT_REUSE_MATRIX,
304   MAT_IGNORE_MATRIX,
305   MAT_INPLACE_MATRIX
306 } MatReuse;
307 
308 /*E
309     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
310      include the matrix values. Currently it is only used by MatGetSeqNonzeroStructure().
311 
312     Level: beginner
313 
314 .seealso: `MatGetSeqNonzeroStructure()`
315 E*/
316 typedef enum {
317   MAT_DO_NOT_GET_VALUES,
318   MAT_GET_VALUES
319 } MatCreateSubMatrixOption;
320 
321 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
322 
323 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm, Mat *);
324 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat, PetscInt, PetscInt, PetscInt, PetscInt);
325 PETSC_EXTERN PetscErrorCode MatSetType(Mat, MatType);
326 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat, VecType *);
327 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat, VecType);
328 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
329 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat, PetscObject, const char[]);
330 PETSC_EXTERN PetscErrorCode MatRegister(const char[], PetscErrorCode (*)(Mat));
331 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[], const char[], const char[]);
332 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat, const char[]);
333 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefixFactor(Mat, const char[]);
334 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefixFactor(Mat, const char[]);
335 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat, const char[]);
336 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat, const char *[]);
337 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat, PetscBool);
338 
339 PETSC_EXTERN PetscFunctionList MatList;
340 PETSC_EXTERN PetscFunctionList MatColoringList;
341 PETSC_EXTERN PetscFunctionList MatPartitioningList;
342 
343 /*E
344     MatStructure - Indicates if two matrices have the same nonzero structure
345 
346     Level: beginner
347 
348 $  SAME_NONZERO_PATTERN  - the two matrices have identical nonzero patterns
349 $  DIFFERENT_NONZERO_PATTERN - the two matrices may have different nonzero patterns
350 $  SUBSET_NONZERO_PATTERN - the nonzero pattern of the second matrix is a subset of the nonzero pattern of the first matrix
351 $  UNKNOWN_NONZERO_PATTERN - there is no known relationship between the nonzero patterns. In this case the implementations may try to detect a relationship to optimize the operation
352 
353    Developer Notes:
354      Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
355 
356 .seealso: `MatCopy()`, `MatAXPY()`, `MatAYPX()`
357 E*/
358 typedef enum {
359   DIFFERENT_NONZERO_PATTERN,
360   SUBSET_NONZERO_PATTERN,
361   SAME_NONZERO_PATTERN,
362   UNKNOWN_NONZERO_PATTERN
363 } MatStructure;
364 PETSC_EXTERN const char *const MatStructures[];
365 
366 #if defined                 PETSC_HAVE_MKL_SPARSE
367 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
368 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
369 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
370 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
371 #endif
372 
373 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
374 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
375 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat, PetscInt, const PetscInt[]);
376 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
377 
378 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
379 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
380 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
381 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
382 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
383 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
384 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArray(Mat, const PetscScalar[]);
385 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], PetscInt[], PetscInt[], PetscScalar[], Mat *);
386 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm, Mat, Mat, const PetscInt[], Mat *);
387 
388 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
389 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
390 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
391 
392 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat, PetscCount, PetscInt[], PetscInt[]);
393 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOOLocal(Mat, PetscCount, PetscInt[], PetscInt[]);
394 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat, const PetscScalar[], InsertMode);
395 
396 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscInt[], Mat *);
397 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
398 
399 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
400 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[], Mat *);
401 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
402 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
403 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscInt[], const PetscInt[]);
404 
405 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, void *, Mat *);
406 PETSC_EXTERN PetscErrorCode MatCreateCentering(MPI_Comm, PetscInt, PetscInt, Mat *);
407 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat, Mat *);
408 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat, Mat *);
409 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat, Mat, Vec, Mat, Mat *);
410 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat, Mat *, Mat *, Vec *, Mat *);
411 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, ISLocalToGlobalMapping, ISLocalToGlobalMapping, Mat *);
412 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
413 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
414 
415 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm, VecScatter, Mat *);
416 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat, VecScatter);
417 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat, VecScatter *);
418 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt *, Mat *);
419 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat, Mat);
420 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
421 typedef enum {
422   MAT_COMPOSITE_MERGE_RIGHT,
423   MAT_COMPOSITE_MERGE_LEFT
424 } MatCompositeMergeType;
425 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat, MatCompositeMergeType);
426 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm, PetscInt, const Mat *, Mat *);
427 typedef enum {
428   MAT_COMPOSITE_ADDITIVE,
429   MAT_COMPOSITE_MULTIPLICATIVE
430 } MatCompositeType;
431 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat, MatCompositeType);
432 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat, MatCompositeType *);
433 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat, MatStructure);
434 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat, MatStructure *);
435 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat, PetscInt *);
436 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat, PetscInt, Mat *);
437 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat, const PetscScalar *);
438 
439 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm, PetscInt, const PetscInt[], MatType, Mat *);
440 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm, PetscInt, const PetscInt[], Mat *);
441 
442 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat, Mat *);
443 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat, Mat *);
444 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat, Mat *);
445 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat, Mat *);
446 PETSC_EXTERN PetscErrorCode MatNormalGetMat(Mat, Mat *);
447 PETSC_EXTERN PetscErrorCode MatNormalHermitianGetMat(Mat, Mat *);
448 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat, IS, IS, Mat *);
449 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat, Mat, IS, IS);
450 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat, IS, IS, Mat *);
451 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar, Mat *);
452 
453 #if defined(PETSC_HAVE_HYPRE)
454 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
455 #endif
456 
457 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat, const char[]);
458 PETSC_EXTERN PetscErrorCode MatPythonGetType(Mat, const char *[]);
459 
460 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
461 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
462 PETSC_EXTERN PetscErrorCode MatDestroy(Mat *);
463 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat, PetscObjectState *);
464 
465 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
466 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
467 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
468 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat, Mat *);
469 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat, PetscScalar *);
470 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat, const PetscScalar **);
471 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat, PetscInt, const PetscInt *, PetscScalar *);
472 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat, Mat);
473 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockEnvelope(Mat, MatReuse, Mat *);
474 
475 /* ------------------------------------------------------------*/
476 PETSC_EXTERN PetscErrorCode MatSetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
477 PETSC_EXTERN PetscErrorCode MatSetValuesIS(Mat, IS, IS, const PetscScalar[], InsertMode);
478 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
479 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat, PetscInt, const PetscScalar[]);
480 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat, PetscInt, const PetscScalar[]);
481 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat, PetscInt, PetscInt, PetscInt[], const PetscScalar[]);
482 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat, PetscRandom);
483 
484 /*S
485      MatStencil - Data structure (C struct) for storing information about a single row or
486         column of a matrix as indexed on an associated grid. These are arguments to `MatSetStencil()` and `MatSetBlockStencil()`
487 
488    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).
489    The c represents the the degrees of freedom at each grid point (the dof argument to `DMDASetDOF()`). If dof is 1 then this entry is ignored.
490 
491    For stencil access to vectors see `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`.
492 
493    Fortran usage is different, see `MatSetValuesStencil()` for details.
494 
495    Level: beginner
496 
497 .seealso: `MatSetValuesStencil()`, `MatSetStencil()`, `MatSetValuesBlockedStencil()`, `DMDAVecGetArray()`, `DMDAVecGetArrayF90()`
498 S*/
499 typedef struct {
500   PetscInt k, j, i, c;
501 } MatStencil;
502 
503 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
504 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat, PetscInt, const MatStencil[], PetscInt, const MatStencil[], const PetscScalar[], InsertMode);
505 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat, PetscInt, const PetscInt[], const PetscInt[], PetscInt);
506 
507 /*E
508     MatAssemblyType - Indicates if the matrix is now to be used, for example in a solver, or if you plan
509      to continue to add or insert values to it
510 
511     Level: beginner
512 
513 .seealso: `MatAssemblyBegin()`, `MatAssemblyEnd()`
514 E*/
515 typedef enum {
516   MAT_FLUSH_ASSEMBLY = 1,
517   MAT_FINAL_ASSEMBLY = 0
518 } MatAssemblyType;
519 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat, MatAssemblyType);
520 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat, MatAssemblyType);
521 PETSC_EXTERN PetscErrorCode MatAssembled(Mat, PetscBool *);
522 
523 /*E
524     MatOption - Options that may be set for a matrix and its behavior or storage
525 
526     Level: beginner
527 
528    Developer Notes:
529    Entries that are negative need not be called collectively by all processes.
530 
531    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
532 
533    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
534 
535 .seealso: `MatSetOption()`
536 E*/
537 typedef enum {
538   MAT_OPTION_MIN                  = -3,
539   MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
540   MAT_ROW_ORIENTED                = -1,
541   MAT_SYMMETRIC                   = 1,
542   MAT_STRUCTURALLY_SYMMETRIC      = 2,
543   MAT_FORCE_DIAGONAL_ENTRIES      = 3,
544   MAT_IGNORE_OFF_PROC_ENTRIES     = 4,
545   MAT_USE_HASH_TABLE              = 5,
546   MAT_KEEP_NONZERO_PATTERN        = 6,
547   MAT_IGNORE_ZERO_ENTRIES         = 7,
548   MAT_USE_INODES                  = 8,
549   MAT_HERMITIAN                   = 9,
550   MAT_SYMMETRY_ETERNAL            = 10,
551   MAT_NEW_NONZERO_LOCATION_ERR    = 11,
552   MAT_IGNORE_LOWER_TRIANGULAR     = 12,
553   MAT_ERROR_LOWER_TRIANGULAR      = 13,
554   MAT_GETROW_UPPERTRIANGULAR      = 14,
555   MAT_SPD                         = 15,
556   MAT_NO_OFF_PROC_ZERO_ROWS       = 16,
557   MAT_NO_OFF_PROC_ENTRIES         = 17,
558   MAT_NEW_NONZERO_LOCATIONS       = 18,
559   MAT_NEW_NONZERO_ALLOCATION_ERR  = 19,
560   MAT_SUBSET_OFF_PROC_ENTRIES     = 20,
561   MAT_SUBMAT_SINGLEIS             = 21,
562   MAT_STRUCTURE_ONLY              = 22,
563   MAT_SORTED_FULL                 = 23,
564   MAT_FORM_EXPLICIT_TRANSPOSE     = 24,
565   MAT_STRUCTURAL_SYMMETRY_ETERNAL = 25,
566   MAT_SPD_ETERNAL                 = 26,
567   MAT_OPTION_MAX                  = 27
568 } MatOption;
569 
570 PETSC_EXTERN const char *const *MatOptions;
571 PETSC_EXTERN PetscErrorCode     MatSetOption(Mat, MatOption, PetscBool);
572 PETSC_EXTERN PetscErrorCode     MatGetOption(Mat, MatOption, PetscBool *);
573 PETSC_EXTERN PetscErrorCode     MatPropagateSymmetryOptions(Mat, Mat);
574 PETSC_EXTERN PetscErrorCode     MatGetType(Mat, MatType *);
575 
576 PETSC_EXTERN PetscErrorCode    MatGetValues(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
577 PETSC_EXTERN PetscErrorCode    MatGetRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
578 PETSC_EXTERN PetscErrorCode    MatRestoreRow(Mat, PetscInt, PetscInt *, const PetscInt *[], const PetscScalar *[]);
579 PETSC_EXTERN PetscErrorCode    MatGetRowUpperTriangular(Mat);
580 PETSC_EXTERN PetscErrorCode    MatRestoreRowUpperTriangular(Mat);
581 PETSC_EXTERN PetscErrorCode    MatGetColumnVector(Mat, Vec, PetscInt);
582 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArray(Mat, PetscScalar *[]);
583 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayRead(Mat, const PetscScalar *[]);
584 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetArrayWrite(Mat, PetscScalar *[]);
585 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArray(Mat, PetscScalar *[]);
586 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayRead(Mat, const PetscScalar *[]);
587 PETSC_EXTERN PetscErrorCode    MatSeqAIJRestoreArrayWrite(Mat, PetscScalar *[]);
588 PETSC_EXTERN PetscErrorCode    MatSeqAIJGetMaxRowNonzeros(Mat, PetscInt *);
589 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetValuesLocalFast(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
590 PETSC_EXTERN PetscErrorCode    MatSeqAIJSetType(Mat, MatType);
591 PETSC_EXTERN PetscErrorCode    MatSeqAIJKron(Mat, Mat, MatReuse, Mat *);
592 PETSC_EXTERN PetscErrorCode    MatSeqAIJRegister(const char[], PetscErrorCode (*)(Mat, MatType, MatReuse, Mat *));
593 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
594 PETSC_EXTERN PetscErrorCode    MatSeqBAIJGetArray(Mat, PetscScalar *[]);
595 PETSC_EXTERN PetscErrorCode    MatSeqBAIJRestoreArray(Mat, PetscScalar *[]);
596 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJGetArray(Mat, PetscScalar *[]);
597 PETSC_EXTERN PetscErrorCode    MatSeqSBAIJRestoreArray(Mat, PetscScalar *[]);
598 PETSC_EXTERN PetscErrorCode    MatDenseGetArray(Mat, PetscScalar *[]);
599 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArray(Mat, PetscScalar *[]);
600 PETSC_EXTERN PetscErrorCode    MatDensePlaceArray(Mat, const PetscScalar[]);
601 PETSC_EXTERN PetscErrorCode    MatDenseReplaceArray(Mat, const PetscScalar[]);
602 PETSC_EXTERN PetscErrorCode    MatDenseResetArray(Mat);
603 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayRead(Mat, const PetscScalar *[]);
604 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayRead(Mat, const PetscScalar *[]);
605 PETSC_EXTERN PetscErrorCode    MatDenseGetArrayWrite(Mat, PetscScalar *[]);
606 PETSC_EXTERN PetscErrorCode    MatDenseRestoreArrayWrite(Mat, PetscScalar *[]);
607 PETSC_EXTERN PetscErrorCode    MatGetBlockSize(Mat, PetscInt *);
608 PETSC_EXTERN PetscErrorCode    MatSetBlockSize(Mat, PetscInt);
609 PETSC_EXTERN PetscErrorCode    MatGetBlockSizes(Mat, PetscInt *, PetscInt *);
610 PETSC_EXTERN PetscErrorCode    MatSetBlockSizes(Mat, PetscInt, PetscInt);
611 PETSC_EXTERN PetscErrorCode    MatSetBlockSizesFromMats(Mat, Mat, Mat);
612 PETSC_EXTERN PetscErrorCode    MatSetVariableBlockSizes(Mat, PetscInt, PetscInt *);
613 PETSC_EXTERN PetscErrorCode    MatGetVariableBlockSizes(Mat, PetscInt *, const PetscInt **);
614 
615 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat, PetscInt, PetscScalar *[]);
616 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat, PetscScalar *[]);
617 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat, PetscInt, Vec *);
618 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat, PetscInt, Vec *);
619 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat, PetscInt, Vec *);
620 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat, PetscInt, Vec *);
621 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat, PetscInt, Vec *);
622 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat, PetscInt, Vec *);
623 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
624 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat, Mat *);
625 
626 PETSC_EXTERN PetscErrorCode MatMult(Mat, Vec, Vec);
627 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat, Vec, Vec);
628 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat, Vec, Vec, Vec);
629 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat, Vec, Vec);
630 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat, Vec, Vec);
631 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat, Mat, PetscReal, PetscBool *);
632 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat, Mat, PetscReal, PetscBool *);
633 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat, Vec, Vec, Vec);
634 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat, Vec, Vec, Vec);
635 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat, Mat, Mat);
636 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat, Mat, Mat);
637 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat, Mat, Mat);
638 PETSC_EXTERN PetscErrorCode MatResidual(Mat, Vec, Vec, Vec);
639 
640 /*E
641     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
642   its numerical values copied over or just its nonzero structure.
643 
644     Level: beginner
645 
646    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
647 
648 $   `MAT_DO_NOT_COPY_VALUES`    - Create a matrix using the same nonzero pattern as the original matrix,
649 $                               with zeros for the numerical values.
650 $   `MAT_COPY_VALUES`           - Create a matrix with the same nonzero pattern as the original matrix
651 $                               and with the same numerical values.
652 $   `MAT_SHARE_NONZERO_PATTERN` - Create a matrix that shares the nonzero structure with the previous matrix
653 $                               and does not copy it, using zeros for the numerical values. The parent and
654 $                               child matrices will share their index (i and j) arrays, and you cannot
655 $                               insert new nonzero entries into either matrix.
656 
657   Note:
658   Many matrix types (including `MATSEQAIJ`) do not support the `MAT_SHARE_NONZERO_PATTERN` optimization; in
659   this case the behavior is as if `MAT_DO_NOT_COPY_VALUES` has been specified.
660 
661 .seealso: `MatDuplicate()`
662 E*/
663 typedef enum {
664   MAT_DO_NOT_COPY_VALUES,
665   MAT_COPY_VALUES,
666   MAT_SHARE_NONZERO_PATTERN
667 } MatDuplicateOption;
668 
669 PETSC_EXTERN PetscErrorCode MatConvert(Mat, MatType, MatReuse, Mat *);
670 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat, MatDuplicateOption, Mat *);
671 
672 PETSC_EXTERN PetscErrorCode MatCopy(Mat, Mat, MatStructure);
673 PETSC_EXTERN PetscErrorCode MatView(Mat, PetscViewer);
674 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat, PetscReal, PetscBool *);
675 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat, PetscBool *);
676 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat, PetscReal, PetscBool *);
677 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat, PetscBool *, PetscBool *);
678 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat, PetscBool *, PetscBool *);
679 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetricKnown(Mat, PetscBool *, PetscBool *);
680 PETSC_EXTERN PetscErrorCode MatIsSPDKnown(Mat, PetscBool *, PetscBool *);
681 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat, PetscBool *, PetscInt *);
682 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
683 
684 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
685 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
686 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
687 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat, PetscInt, PetscBool, PetscBool, PetscInt *, const PetscInt *[], const PetscInt *[], PetscBool *);
688 
689 /*S
690      MatInfo - Context of matrix information, used with `MatGetInfo()`
691 
692    In Fortran this is simply a double precision array of dimension `MAT_INFO_SIZE`
693 
694    Level: intermediate
695 
696 .seealso: `MatGetInfo()`, `MatInfoType`
697 S*/
698 typedef struct {
699   PetscLogDouble block_size;                          /* block size */
700   PetscLogDouble nz_allocated, nz_used, nz_unneeded;  /* number of nonzeros */
701   PetscLogDouble memory;                              /* memory allocated */
702   PetscLogDouble assemblies;                          /* number of matrix assemblies called */
703   PetscLogDouble mallocs;                             /* number of mallocs during MatSetValues() */
704   PetscLogDouble fill_ratio_given, fill_ratio_needed; /* fill ratio for LU/ILU */
705   PetscLogDouble factor_mallocs;                      /* number of mallocs during factorization */
706 } MatInfo;
707 
708 /*E
709     MatInfoType - Indicates if you want information about the local part of the matrix,
710      the entire parallel matrix or the maximum over all the local parts.
711 
712     Level: beginner
713 
714    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
715 
716 .seealso: `MatGetInfo()`, `MatInfo`
717 E*/
718 typedef enum {
719   MAT_LOCAL      = 1,
720   MAT_GLOBAL_MAX = 2,
721   MAT_GLOBAL_SUM = 3
722 } MatInfoType;
723 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat, MatInfoType, MatInfo *);
724 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat, Vec);
725 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat, Vec, PetscInt[]);
726 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat, Vec, PetscInt[]);
727 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat, Vec, PetscInt[]);
728 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat, Vec, PetscInt[]);
729 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat, Vec);
730 PETSC_EXTERN PetscErrorCode MatTranspose(Mat, MatReuse, Mat *);
731 PETSC_EXTERN PetscErrorCode MatTransposeSymbolic(Mat, Mat *);
732 PETSC_EXTERN PetscErrorCode MatTransposeSetPrecursor(Mat, Mat);
733 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat, MatReuse, Mat *);
734 PETSC_EXTERN PetscErrorCode MatPermute(Mat, IS, IS, Mat *);
735 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat, Vec, Vec);
736 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat, Vec, InsertMode);
737 
738 PETSC_EXTERN PetscErrorCode MatEqual(Mat, Mat, PetscBool *);
739 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat, Mat, PetscInt, PetscBool *);
740 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat, Mat, PetscInt, PetscBool *);
741 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
742 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
743 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeEqual(Mat, Mat, PetscInt, PetscBool *);
744 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAddEqual(Mat, Mat, PetscInt, PetscBool *);
745 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
746 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
747 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
748 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
749 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat, Mat, Mat, PetscInt, PetscBool *);
750 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat, PetscInt, PetscBool *);
751 
752 PETSC_EXTERN PetscErrorCode MatNorm(Mat, NormType, PetscReal *);
753 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat, NormType, PetscReal *);
754 PETSC_EXTERN PetscErrorCode MatGetColumnSums(Mat, PetscScalar *);
755 PETSC_EXTERN PetscErrorCode MatGetColumnSumsRealPart(Mat, PetscReal *);
756 PETSC_EXTERN PetscErrorCode MatGetColumnSumsImaginaryPart(Mat, PetscReal *);
757 PETSC_EXTERN PetscErrorCode MatGetColumnMeans(Mat, PetscScalar *);
758 PETSC_EXTERN PetscErrorCode MatGetColumnMeansRealPart(Mat, PetscReal *);
759 PETSC_EXTERN PetscErrorCode MatGetColumnMeansImaginaryPart(Mat, PetscReal *);
760 PETSC_EXTERN PetscErrorCode MatGetColumnReductions(Mat, PetscInt, PetscReal *);
761 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
762 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
763 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
764 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat, IS, PetscScalar, Vec, Vec);
765 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
766 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat, PetscInt, const MatStencil[], PetscScalar, Vec, Vec);
767 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
768 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat, IS, PetscScalar, Vec, Vec);
769 
770 PETSC_EXTERN PetscErrorCode MatGetSize(Mat, PetscInt *, PetscInt *);
771 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat, PetscInt *, PetscInt *);
772 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat, PetscInt *, PetscInt *);
773 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat, const PetscInt **);
774 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat, PetscInt *, PetscInt *);
775 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat, const PetscInt **);
776 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat, IS *, IS *);
777 
778 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
779 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrices(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
780 {
781   return MatCreateSubMatrices(mat, n, irow, icol, scall, submat);
782 }
783 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat, PetscInt, const IS[], const IS[], MatReuse, Mat *[]);
784 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") static inline PetscErrorCode MatGetSubMatricesMPI(Mat mat, PetscInt n, const IS irow[], const IS icol[], MatReuse scall, Mat *submat[])
785 {
786   return MatCreateSubMatricesMPI(mat, n, irow, icol, scall, submat);
787 }
788 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt, Mat *[]);
789 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt, Mat *[]);
790 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat, IS, IS, MatReuse, Mat *);
791 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") static inline PetscErrorCode MatGetSubMatrix(Mat mat, IS isrow, IS iscol, MatReuse cll, Mat *newmat)
792 {
793   return MatCreateSubMatrix(mat, isrow, iscol, cll, newmat);
794 }
795 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat, IS, IS, Mat *);
796 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat, IS, IS, Mat *);
797 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat, Mat *);
798 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat *);
799 
800 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm, Mat, PetscInt, PetscInt, MatReuse, Mat *);
801 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm, Mat, PetscInt, PetscInt, Mat *);
802 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat, Mat);
803 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat, MatReuse, Mat *);
804 PETSC_EXTERN PetscErrorCode MatAIJGetLocalMat(Mat, Mat *);
805 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat, MatReuse, IS *, IS *, Mat *);
806 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat, MatReuse, IS *, Mat *);
807 PETSC_EXTERN PetscErrorCode MatMPIAIJGetNumberNonzeros(Mat, PetscCount *);
808 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat, Mat, MatReuse, IS *, IS *, Mat *);
809 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *, const PetscInt *[]);
810 
811 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat, PetscInt, IS[], PetscInt);
812 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat, PetscInt n, IS is[], PetscInt ov);
813 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat, PetscBool);
814 
815 PETSC_EXTERN PetscErrorCode MatMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
816 
817 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
818 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat, Mat, Mat, MatReuse, PetscReal, Mat *);
819 
820 PETSC_EXTERN PetscErrorCode MatPtAP(Mat, Mat, MatReuse, PetscReal, Mat *);
821 PETSC_EXTERN PetscErrorCode MatRARt(Mat, Mat, MatReuse, PetscReal, Mat *);
822 
823 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat, Mat, MatReuse, PetscReal, Mat *);
824 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat, Mat, MatReuse, PetscReal, Mat *);
825 
826 PETSC_EXTERN PetscErrorCode MatAXPY(Mat, PetscScalar, Mat, MatStructure);
827 PETSC_EXTERN PetscErrorCode MatAYPX(Mat, PetscScalar, Mat, MatStructure);
828 
829 PETSC_EXTERN PetscErrorCode MatScale(Mat, PetscScalar);
830 PETSC_EXTERN PetscErrorCode MatShift(Mat, PetscScalar);
831 
832 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping, ISLocalToGlobalMapping);
833 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
834 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat, PetscLayout *, PetscLayout *);
835 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat, PetscLayout, PetscLayout);
836 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
837 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
838 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat, PetscInt, const PetscInt[], PetscScalar, Vec, Vec);
839 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat, IS, PetscScalar, Vec, Vec);
840 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], PetscScalar[]);
841 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
842 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[], const PetscScalar[], InsertMode);
843 
844 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat, PetscInt, PetscInt);
845 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat, PetscInt *, PetscInt *, PetscInt *, PetscInt *);
846 
847 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat, Vec, Vec);
848 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat, Vec, Vec, Vec);
849 PETSC_EXTERN PetscErrorCode MatRestrict(Mat, Vec, Vec);
850 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat, Mat, Mat *);
851 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat, Mat, Mat, Mat *);
852 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat, Mat, Mat *);
853 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat, Vec *, Vec *);
854 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") static inline PetscErrorCode MatGetVecs(Mat mat, Vec *x, Vec *y)
855 {
856   return MatCreateVecs(mat, x, y);
857 }
858 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat, PetscInt, MPI_Comm, MatReuse, Mat *);
859 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat, MPI_Comm, MatReuse, Mat *);
860 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat, IS *);
861 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat, IS *);
862 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm, Mat, PetscInt, MatReuse, Mat *);
863 
864 /*MC
865    MatSetValue - Set a single entry into a matrix.
866 
867    Not collective
868 
869    Synopsis:
870      #include <petscmat.h>
871      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
872 
873    Input Parameters:
874 +  m - the matrix
875 .  row - the row location of the entry
876 .  col - the column location of the entry
877 .  value - the value to insert
878 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
879 
880    Notes:
881    For efficiency one should use `MatSetValues()` and set several values simultaneously.
882 
883    Level: beginner
884 
885 .seealso: `MatGetValue()`, `MatSetValues()`, `MatSetValueLocal()`, `MatSetValuesLocal()`
886 M*/
887 static inline PetscErrorCode MatSetValue(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
888 {
889   return MatSetValues(v, 1, &i, 1, &j, &va, mode);
890 }
891 
892 /*@C
893    MatGetValue - Gets a single value from a matrix
894 
895    Not Collective; can only return a value owned by the given process
896 
897    Input Parameters:
898 +  mat - the matrix
899 .  row - the row location of the entry
900 -  col - the column location of the entry
901 
902    Output Parameter:
903 .  va - the value
904 
905    Notes:
906    For efficiency one should use `MatGetValues()` and get several values simultaneously.
907 
908    See notes for `MatGetValues()`.
909 
910    Level: advanced
911 
912 .seealso: `MatSetValue()`, `MatGetValueLocal()`, `MatGetValues()`
913 @*/
914 static inline PetscErrorCode MatGetValue(Mat mat, PetscInt row, PetscInt col, PetscScalar *va)
915 {
916   return MatGetValues(mat, 1, &row, 1, &col, va);
917 }
918 
919 /*MC
920    MatSetValueLocal - Inserts or adds a single value into a matrix,
921    using a local numbering of the nodes.
922 
923    Not Collective
924 
925    Input Parameters:
926 +  m - the matrix
927 .  row - the row location of the entry
928 .  col - the column location of the entry
929 .  value - the value to insert
930 -  mode - either `INSERT_VALUES` or `ADD_VALUES`
931 
932    Notes:
933    For efficiency one should use `MatSetValuesLocal()` and set several values simultaneously.
934 
935    See notes for `MatSetValuesLocal()` for additional information on when and how this function can be used.
936 
937    Level: intermediate
938 
939 .seealso: `MatSetValue()`, `MatSetValuesLocal()`
940 M*/
941 static inline PetscErrorCode MatSetValueLocal(Mat v, PetscInt i, PetscInt j, PetscScalar va, InsertMode mode)
942 {
943   return MatSetValuesLocal(v, 1, &i, 1, &j, &va, mode);
944 }
945 
946 /*MC
947    MatPreallocateBegin - Begins the block of code that will count the number of nonzeros per
948        row in a matrix providing the data that one can use to correctly preallocate the matrix.
949 
950    Synopsis:
951    #include <petscmat.h>
952    PetscErrorCode MatPreallocateBegin(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
953 
954    Collective
955 
956    Input Parameters:
957 +  comm - the communicator that will share the eventually allocated matrix
958 .  nrows - the number of LOCAL rows in the matrix
959 -  ncols - the number of LOCAL columns in the matrix
960 
961    Output Parameters:
962 +  dnz - the array that will be passed to the matrix preallocation routines
963 -  onz - the other array passed to the matrix preallocation routines
964 
965    Level: intermediate
966 
967    Notes:
968     This is a macro that handles its own error checking, it does not return an error code.
969 
970     See Users-Manual: ch_performance for more details.
971 
972     Do not malloc or free dnz and onz, that is handled internally by these routines
973 
974    Developer Notes:
975     This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
976 
977 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
978           `MatPreallocateSymmetricSetLocalBlock()`
979 M*/
980 #define MatPreallocateBegin(comm, nrows, ncols, dnz, onz) \
981   do { \
982     PetscInt __nrows = (nrows), __ncols = (ncols), __rstart, __start, __end = 0; \
983     PetscCall(PetscCalloc2(__nrows, &(dnz), __nrows, &(onz))); \
984     PetscCallMPI(MPI_Scan(&__ncols, &__end, 1, MPIU_INT, MPI_SUM, comm)); \
985     __start = __end - __ncols; \
986     (void)__start; \
987     PetscCallMPI(MPI_Scan(&__nrows, &__rstart, 1, MPIU_INT, MPI_SUM, comm)); \
988   __rstart -= __nrows
989 
990 #define MatPreallocateInitialize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateBegin() (since version 3.18)\"") MatPreallocateBegin(__VA_ARGS__)
991 
992 /*MC
993    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
994        inserted using a local number of the rows and columns
995 
996    Synopsis:
997    #include <petscmat.h>
998    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
999 
1000    Not Collective
1001 
1002    Input Parameters:
1003 +  map - the row mapping from local numbering to global numbering
1004 .  nrows - the number of rows indicated
1005 .  rows - the indices of the rows
1006 .  cmap - the column mapping from local to global numbering
1007 .  ncols - the number of columns in the matrix
1008 .  cols - the columns indicated
1009 .  dnz - the array that will be passed to the matrix preallocation routines
1010 -  onz - the other array passed to the matrix preallocation routines
1011 
1012    Level: intermediate
1013 
1014    Notes:
1015     See Users-Manual: ch_performance for more details.
1016 
1017    Do not malloc or free dnz and onz, that is handled internally by these routines
1018 
1019 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1020           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocalRemoveDups()`
1021 M*/
1022 #define MatPreallocateSetLocal(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1023   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));)
1024 
1025 /*MC
1026    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1027        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
1028 
1029    Synopsis:
1030    #include <petscmat.h>
1031    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1032 
1033    Not Collective
1034 
1035    Input Parameters:
1036 +  map - the row mapping from local numbering to global numbering
1037 .  nrows - the number of rows indicated
1038 .  rows - the indices of the rows (these values are mapped to the global values)
1039 .  cmap - the column mapping from local to global numbering
1040 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
1041 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
1042 .  dnz - the array that will be passed to the matrix preallocation routines
1043 -  onz - the other array passed to the matrix preallocation routines
1044 
1045    Level: intermediate
1046 
1047    Notes:
1048     See Users-Manual: ch_performance for more details.
1049 
1050    Do not malloc or free dnz and onz, that is handled internally by these routines
1051 
1052 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1053           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1054 M*/
1055 #define MatPreallocateSetLocalRemoveDups(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1056   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));)
1057 
1058 /*MC
1059    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1060        inserted using a local number of the rows and columns
1061 
1062    Synopsis:
1063    #include <petscmat.h>
1064    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1065 
1066    Not Collective
1067 
1068    Input Parameters:
1069 +  map - the row mapping from local numbering to global numbering
1070 .  nrows - the number of rows indicated
1071 .  rows - the indices of the rows
1072 .  cmap - the column mapping from local to global numbering
1073 .  ncols - the number of columns in the matrix
1074 .  cols - the columns indicated
1075 .  dnz - the array that will be passed to the matrix preallocation routines
1076 -  onz - the other array passed to the matrix preallocation routines
1077 
1078    Level: intermediate
1079 
1080    Notes:
1081     See Users-Manual: ch_performance for more details.
1082 
1083    Do not malloc or free dnz and onz, that is handled internally by these routines
1084 
1085 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1086           `MatPreallocateBegin()`, `MatPreallocateSymmetricSetLocalBlock()`
1087 M*/
1088 #define MatPreallocateSetLocalBlock(rmap, nrows, rows, cmap, ncols, cols, dnz, onz) \
1089   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));)
1090 
1091 /*MC
1092    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1093        inserted using a local number of the rows and columns
1094 
1095    Synopsis:
1096    #include <petscmat.h>
1097    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1098 
1099    Not Collective
1100 
1101    Input Parameters:
1102 +  map - the mapping between local numbering and global numbering
1103 .  nrows - the number of rows indicated
1104 .  rows - the indices of the rows
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: intermediate
1111 
1112    Notes:
1113     See Users-Manual: ch_performance for more details.
1114 
1115    Do not malloc or free dnz and onz that is handled internally by these routines
1116 
1117 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`
1118           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1119 M*/
1120 #define MatPreallocateSymmetricSetLocalBlock(map, nrows, rows, ncols, cols, dnz, onz) \
1121   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));)
1122 
1123 /*MC
1124    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1125        inserted using a local number of the rows and columns
1126 
1127    Synopsis:
1128    #include <petscmat.h>
1129    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1130 
1131    Not Collective
1132 
1133    Input Parameters:
1134 +  row - the row
1135 .  ncols - the number of columns in the matrix
1136 -  cols - the columns indicated
1137 
1138    Output Parameters:
1139 +  dnz - the array that will be passed to the matrix preallocation routines
1140 -  onz - the other array passed to the matrix preallocation routines
1141 
1142    Level: intermediate
1143 
1144    Notes:
1145     See Users-Manual: ch_performance for more details.
1146 
1147    Do not malloc or free dnz and onz that is handled internally by these routines
1148 
1149    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1150 
1151 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`
1152           `MatPreallocateBegin()`, `MatPreallocateSetLocal()`
1153 M*/
1154 #define MatPreallocateSet(row, nc, cols, dnz, onz) \
1155   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) { \
1156     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
1157     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1158   })
1159 
1160 /*MC
1161    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
1162        inserted using a local number of the rows and columns
1163 
1164    Synopsis:
1165    #include <petscmat.h>
1166    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1167 
1168    Not Collective
1169 
1170    Input Parameters:
1171 +  nrows - the number of rows indicated
1172 .  rows - the indices of the rows
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: intermediate
1179 
1180    Notes:
1181     See Users-Manual: ch_performance for more details.
1182 
1183    Do not malloc or free dnz and onz that is handled internally by these routines
1184 
1185    This is a MACRO not a function because it uses variables declared in MatPreallocateBegin().
1186 
1187 .seealso: `MatPreallocateEnd()`, `MatPreallocateSet()`, `MatPreallocateBegin()`,
1188           `MatPreallocateSymmetricSetLocalBlock()`, `MatPreallocateSetLocal()`
1189 M*/
1190 #define MatPreallocateSymmetricSetBlock(row, nc, cols, dnz, onz) \
1191   PetscMacroReturnStandard(for (PetscInt __i = 0; __i < nc; __i++) { \
1192     if (cols[__i] >= __end) onz[row - __rstart]++; \
1193     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++; \
1194   })
1195 
1196 /*MC
1197    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1198 
1199    Synopsis:
1200    #include <petscmat.h>
1201    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1202 
1203    Not Collective
1204 
1205    Input Parameters:
1206 +  A - matrix
1207 .  row - row where values exist (must be local to this process)
1208 .  ncols - number of columns
1209 .  cols - columns with nonzeros
1210 .  dnz - the array that will be passed to the matrix preallocation routines
1211 -  onz - the other array passed to the matrix preallocation routines
1212 
1213    Level: intermediate
1214 
1215    Notes:
1216     See Users-Manual: ch_performance for more details.
1217 
1218    Do not malloc or free dnz and onz that is handled internally by these routines
1219 
1220    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1221 
1222 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1223           `MatPreallocateSymmetricSetLocalBlock()`
1224 M*/
1225 #define MatPreallocateLocation(A, row, ncols, cols, dnz, onz) (A ? MatSetValues(A, 1, &row, ncols, cols, NULL, INSERT_VALUES) : MatPreallocateSet(row, ncols, cols, dnz, onz))
1226 
1227 /*MC
1228    MatPreallocateEnd - Ends the block of code that will count the number of nonzeros per
1229        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1230 
1231    Synopsis:
1232    #include <petscmat.h>
1233    PetscErrorCode MatPreallocateEnd(PetscInt *dnz, PetscInt *onz)
1234 
1235    Collective
1236 
1237    Input Parameters:
1238 +  dnz - the array that was be passed to the matrix preallocation routines
1239 -  onz - the other array passed to the matrix preallocation routines
1240 
1241    Level: intermediate
1242 
1243    Notes:
1244     This is a macro that handles its own error checking, it does not return an error code.
1245 
1246     See Users-Manual: ch_performance for more details.
1247 
1248     Do not malloc or free dnz and onz, that is handled internally by these routines
1249 
1250    Developer Notes:
1251     This is a MACRO not a function because it closes the { started in MatPreallocateBegin().
1252 
1253 .seealso: `MatPreallocateBegin()`, `MatPreallocateSet()`, `MatPreallocateSymmetricSetBlock()`, `MatPreallocateSetLocal()`,
1254           `MatPreallocateSymmetricSetLocalBlock()`
1255 M*/
1256 #define MatPreallocateEnd(dnz, onz) \
1257   PetscCall(PetscFree2(dnz, onz)); \
1258   } \
1259   while (0)
1260 
1261 #define MatPreallocateFinalize(...) PETSC_DEPRECATED_MACRO("GCC warning \"Use MatPreallocateEnd() (since version 3.18)\"") MatPreallocateEnd(__VA_ARGS__)
1262 
1263 /* Routines unique to particular data structures */
1264 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat, void *);
1265 
1266 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat, IS *, IS *);
1267 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat, PetscInt *, PetscInt *[], PetscInt *);
1268 
1269 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat, PetscInt[]);
1270 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat, PetscInt[]);
1271 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1272 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1273 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *);
1274 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm, PetscInt, PetscInt, PetscInt[], PetscInt[], PetscScalar[], Mat *, PetscInt, PetscBool);
1275 
1276 #define MAT_SKIP_ALLOCATION -4
1277 
1278 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1279 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1280 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat, PetscInt, const PetscInt[]);
1281 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat, PetscInt);
1282 
1283 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1284 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1285 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1286 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1287 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1288 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat, const PetscInt[], const PetscInt[], const PetscScalar[]);
1289 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat, PetscInt, const PetscInt[], const PetscInt[], const PetscScalar[]);
1290 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat, PetscInt[], PetscInt[], PetscInt[]);
1291 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat, Mat *);
1292 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeqRankZero(Mat, Mat *);
1293 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat, PetscScalar[]);
1294 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat, PetscScalar[]);
1295 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1296 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat, Mat *, Mat *, const PetscInt *[]);
1297 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat, Mat *);
1298 
1299 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat, PetscInt *);
1300 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat, PetscInt);
1301 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") static inline PetscErrorCode MatSeqDenseSetLDA(Mat A, PetscInt lda)
1302 {
1303   return MatDenseSetLDA(A, lda);
1304 }
1305 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat, Mat *);
1306 
1307 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat, PetscInt, PetscInt, const PetscInt[]);
1308 
1309 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1310 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1311 
1312 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat, IS *);
1313 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat, IS *);
1314 /*
1315   These routines are not usually accessed directly, rather solving is
1316   done through the KSP and PC interfaces.
1317 */
1318 
1319 /*J
1320     MatOrderingType - String with the name of a PETSc matrix ordering
1321 
1322    Level: beginner
1323 
1324    Notes:
1325       If `MATORDERINGEXTERNAL` is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1326 
1327 .seealso: `MatGetOrdering()`
1328 J*/
1329 typedef const char *MatOrderingType;
1330 #define MATORDERINGNATURAL       "natural"
1331 #define MATORDERINGND            "nd"
1332 #define MATORDERING1WD           "1wd"
1333 #define MATORDERINGRCM           "rcm"
1334 #define MATORDERINGQMD           "qmd"
1335 #define MATORDERINGROWLENGTH     "rowlength"
1336 #define MATORDERINGWBM           "wbm"
1337 #define MATORDERINGSPECTRAL      "spectral"
1338 #define MATORDERINGAMD           "amd"           /* only works if UMFPACK is installed with PETSc */
1339 #define MATORDERINGMETISND       "metisnd"       /* only works if METIS is installed with PETSc */
1340 #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 */
1341 #define MATORDERINGEXTERNAL      "external"      /* uses an ordering type internal to the factorization package */
1342 
1343 PETSC_EXTERN PetscErrorCode    MatGetOrdering(Mat, MatOrderingType, IS *, IS *);
1344 PETSC_EXTERN PetscErrorCode    MatGetOrderingList(PetscFunctionList *);
1345 PETSC_EXTERN PetscErrorCode    MatOrderingRegister(const char[], PetscErrorCode (*)(Mat, MatOrderingType, IS *, IS *));
1346 PETSC_EXTERN PetscFunctionList MatOrderingList;
1347 
1348 #include "petscmatcoarsen.h"
1349 
1350 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat, PetscReal, IS, IS);
1351 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat, PetscReal, PetscBool, Mat *);
1352 
1353 PETSC_EXTERN PetscErrorCode MatFactorGetPreferredOrdering(Mat, MatFactorType, MatOrderingType *);
1354 
1355 /*S
1356     MatFactorShiftType - Numeric Shift for factorizations
1357 
1358    Level: beginner
1359 
1360 .seealso: `MatGetFactor()`
1361 S*/
1362 typedef enum {
1363   MAT_SHIFT_NONE,
1364   MAT_SHIFT_NONZERO,
1365   MAT_SHIFT_POSITIVE_DEFINITE,
1366   MAT_SHIFT_INBLOCKS
1367 } MatFactorShiftType;
1368 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1369 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1370 
1371 /*S
1372     MatFactorError - indicates what type of error was generated in a matrix factorization
1373 
1374     Level: beginner
1375 
1376     Developer Note:
1377     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1378 
1379 .seealso: `MatGetFactor()`
1380 S*/
1381 typedef enum {
1382   MAT_FACTOR_NOERROR,
1383   MAT_FACTOR_STRUCT_ZEROPIVOT,
1384   MAT_FACTOR_NUMERIC_ZEROPIVOT,
1385   MAT_FACTOR_OUTMEMORY,
1386   MAT_FACTOR_OTHER
1387 } MatFactorError;
1388 
1389 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat, MatFactorError *);
1390 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1391 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat, PetscReal *, PetscInt *);
1392 
1393 /*S
1394    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1395 
1396    In Fortran these are simply double precision arrays of size `MAT_FACTORINFO_SIZE`, that is use
1397 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1398 
1399    Notes:
1400     These are not usually directly used by users, instead use `PC` type of `PCLU`, `PCILU`, `PCCHOLESKY` or `PCICC`.
1401 
1402       You can use `MatFactorInfoInitialize()` to set default values.
1403 
1404    Level: developer
1405 
1406 .seealso: `MatLUFactorSymbolic()`, `MatILUFactorSymbolic()`, `MatCholeskyFactorSymbolic()`, `MatICCFactorSymbolic()`, `MatICCFactor()`,
1407           `MatFactorInfoInitialize()`
1408 
1409 S*/
1410 typedef struct {
1411   PetscReal diagonal_fill; /* force diagonal to fill in if initially not filled */
1412   PetscReal usedt;
1413   PetscReal dt;            /* drop tolerance */
1414   PetscReal dtcol;         /* tolerance for pivoting */
1415   PetscReal dtcount;       /* maximum nonzeros to be allowed per row */
1416   PetscReal fill;          /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1417   PetscReal levels;        /* ICC/ILU(levels) */
1418   PetscReal pivotinblocks; /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1419                                    factorization may be faster if do not pivot */
1420   PetscReal zeropivot;     /* pivot is called zero if less than this */
1421   PetscReal shifttype;     /* type of shift added to matrix factor to prevent zero pivots */
1422   PetscReal shiftamount;   /* how large the shift is */
1423 } MatFactorInfo;
1424 
1425 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo *);
1426 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat, IS, const MatFactorInfo *);
1427 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1428 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat, Mat, const MatFactorInfo *);
1429 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat, IS, IS, const MatFactorInfo *);
1430 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat, IS, IS, const MatFactorInfo *);
1431 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1432 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat, Mat, IS, IS, const MatFactorInfo *);
1433 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1434 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat, IS, const MatFactorInfo *);
1435 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat, Mat, const MatFactorInfo *);
1436 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat, IS, const MatFactorInfo *);
1437 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat, Mat, IS, const MatFactorInfo *);
1438 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat, Mat, const MatFactorInfo *);
1439 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat, PetscInt *, PetscInt *, PetscInt *);
1440 PETSC_EXTERN PetscErrorCode MatSolve(Mat, Vec, Vec);
1441 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat, Vec, Vec);
1442 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat, Vec, Vec);
1443 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat, Vec, Vec, Vec);
1444 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat, Vec, Vec);
1445 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat, Vec, Vec, Vec);
1446 PETSC_EXTERN PetscErrorCode MatSolves(Mat, Vecs, Vecs);
1447 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1448 
1449 typedef enum {
1450   MAT_FACTOR_SCHUR_UNFACTORED,
1451   MAT_FACTOR_SCHUR_FACTORED,
1452   MAT_FACTOR_SCHUR_INVERTED
1453 } MatFactorSchurStatus;
1454 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat, IS);
1455 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1456 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat, Mat *, MatFactorSchurStatus);
1457 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1458 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat, Mat *, MatFactorSchurStatus *);
1459 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat, Vec, Vec);
1460 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat, Vec, Vec);
1461 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1462 
1463 PETSC_EXTERN PetscErrorCode MatSeqDenseInvert(Mat);
1464 /*E
1465     MatSORType - What type of (S)SOR to perform
1466 
1467     Level: beginner
1468 
1469    May be bitwise ORd together
1470 
1471    Developer Notes:
1472    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1473 
1474   `MatSORType` may be bitwise ORd together, so do not change the numerical values
1475 
1476 .seealso: `MatSOR()`
1477 E*/
1478 typedef enum {
1479   SOR_FORWARD_SWEEP         = 1,
1480   SOR_BACKWARD_SWEEP        = 2,
1481   SOR_SYMMETRIC_SWEEP       = 3,
1482   SOR_LOCAL_FORWARD_SWEEP   = 4,
1483   SOR_LOCAL_BACKWARD_SWEEP  = 8,
1484   SOR_LOCAL_SYMMETRIC_SWEEP = 12,
1485   SOR_ZERO_INITIAL_GUESS    = 16,
1486   SOR_EISENSTAT             = 32,
1487   SOR_APPLY_UPPER           = 64,
1488   SOR_APPLY_LOWER           = 128
1489 } MatSORType;
1490 PETSC_EXTERN PetscErrorCode MatSOR(Mat, Vec, PetscReal, MatSORType, PetscReal, PetscInt, PetscInt, Vec);
1491 
1492 /*S
1493      MatColoring - Object for managing the coloring of matrices.
1494 
1495    Level: beginner
1496 
1497     Notes:
1498        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the `MatColoring` object or from the mesh from which the
1499        matrix comes from via `DMCreateColoring()`. In general using the mesh produces a more optimal coloring (fewer colors).
1500 
1501        Once a coloring is available `MatFDColoringCreate()` creates an object that can be used to efficiently compute Jacobians using that coloring. This
1502        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1503 
1504 .seealso: `MatFDColoringCreate()`, `MatColoringWeightType`, `ISColoring`, `MatFDColoring`, `DMCreateColoring()`, `MatColoringCreate()`, `MatOrdering`, `MatPartitioning`, `MatColoringType`
1505 S*/
1506 typedef struct _p_MatColoring *MatColoring;
1507 
1508 /*J
1509     MatColoringType - String with the name of a PETSc matrix coloring
1510 
1511    Level: beginner
1512 
1513 .seealso: `MatColoringSetType()`, `MatColoring`
1514 J*/
1515 typedef const char *MatColoringType;
1516 #define MATCOLORINGJP      "jp"
1517 #define MATCOLORINGPOWER   "power"
1518 #define MATCOLORINGNATURAL "natural"
1519 #define MATCOLORINGSL      "sl"
1520 #define MATCOLORINGLF      "lf"
1521 #define MATCOLORINGID      "id"
1522 #define MATCOLORINGGREEDY  "greedy"
1523 
1524 /*E
1525    MatColoringWeightType - Type of weight scheme
1526 
1527     Not Collective
1528 
1529 +   `MAT_COLORING_RANDOM`  - Random weights
1530 .   `MAT_COLORING_LEXICAL` - Lexical weighting based upon global numbering.
1531 -   `MAT_COLORING_LF`      - Last-first weighting.
1532 
1533     Level: intermediate
1534 
1535    Developer Note:
1536    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1537 
1538 .seealso: `MatColoring`, `MatColoringCreate()`
1539 E*/
1540 typedef enum {
1541   MAT_COLORING_WEIGHT_RANDOM,
1542   MAT_COLORING_WEIGHT_LEXICAL,
1543   MAT_COLORING_WEIGHT_LF,
1544   MAT_COLORING_WEIGHT_SL
1545 } MatColoringWeightType;
1546 
1547 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat, MatColoring *);
1548 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat, PetscInt, PetscInt *);
1549 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring *);
1550 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring, PetscViewer);
1551 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring, MatColoringType);
1552 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1553 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring, PetscInt);
1554 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring, PetscInt *);
1555 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring, PetscInt);
1556 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring, PetscInt *);
1557 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring, ISColoring *);
1558 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[], PetscErrorCode (*)(MatColoring));
1559 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat, PetscInt, PetscInt, ISColoringValue[], ISColoring *);
1560 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring, MatColoringWeightType);
1561 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring, PetscReal *, PetscInt *);
1562 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring, PetscReal **, PetscInt **lperm);
1563 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring, ISColoring);
1564 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") static inline PetscErrorCode MatColoringTestValid(MatColoring matcoloring, ISColoring iscoloring)
1565 {
1566   return MatColoringTest(matcoloring, iscoloring);
1567 }
1568 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat, ISColoring);
1569 
1570 /*S
1571      MatFDColoring - Object for computing a sparse Jacobian via finite differences with coloring
1572 
1573    Level: beginner
1574 
1575    Notes:
1576       This object is creating utilizing a coloring provided by the `MatColoring` object or `DMCreateColoring()`
1577 
1578 .seealso: `MatFDColoringCreate()`, `MatFDColoringSetFunction()`, `MatColoring`, `DMCreateColoring()`
1579 S*/
1580 typedef struct _p_MatFDColoring *MatFDColoring;
1581 
1582 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat, ISColoring, MatFDColoring *);
1583 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring *);
1584 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring, PetscViewer);
1585 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring, PetscErrorCode (*)(void), void *);
1586 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring, PetscErrorCode (**)(void), void **);
1587 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring, PetscReal, PetscReal);
1588 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1589 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat, MatFDColoring, Vec, void *);
1590 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring, Vec);
1591 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring, PetscInt *, const PetscInt *[]);
1592 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat, ISColoring, MatFDColoring);
1593 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring, PetscInt, PetscInt);
1594 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat, MatFDColoring, const PetscScalar *);
1595 
1596 /*S
1597      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1598 
1599    Level: beginner
1600 
1601 .seealso: `MatTransposeColoringCreate()`
1602 S*/
1603 typedef struct _p_MatTransposeColoring *MatTransposeColoring;
1604 
1605 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat, ISColoring, MatTransposeColoring *);
1606 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring, Mat, Mat);
1607 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring, Mat, Mat);
1608 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring *);
1609 
1610 /*S
1611      MatPartitioning - Object for managing the partitioning of a matrix or graph
1612 
1613    Level: beginner
1614 
1615    Note:
1616      There is also a `PetscPartitioner` object that provides the same functionality. It can utilize the `MatPartitioning` operations
1617      via `PetscPartitionerSetType`(p,`PETSCPARTITIONERMATPARTITIONING`)
1618 
1619    Developers Note:
1620      It is an extra maintenance and documentation cost to have two objects with the same functionality.
1621 
1622 .seealso: `MatPartitioningCreate()`, `MatPartitioningType`, `MatColoring`, `MatGetOrdering()`
1623 S*/
1624 typedef struct _p_MatPartitioning *MatPartitioning;
1625 
1626 /*J
1627     MatPartitioningType - String with the name of a PETSc matrix partitioning
1628 
1629    Level: beginner
1630 dm
1631 .seealso: `MatPartitioningCreate()`, `MatPartitioning`, `MatPartitioningSetType()`
1632 J*/
1633 typedef const char *MatPartitioningType;
1634 #define MATPARTITIONINGCURRENT  "current"
1635 #define MATPARTITIONINGAVERAGE  "average"
1636 #define MATPARTITIONINGSQUARE   "square"
1637 #define MATPARTITIONINGPARMETIS "parmetis"
1638 #define MATPARTITIONINGCHACO    "chaco"
1639 #define MATPARTITIONINGPARTY    "party"
1640 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1641 #define MATPARTITIONINGHIERARCH "hierarch"
1642 
1643 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm, MatPartitioning *);
1644 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning, MatPartitioningType);
1645 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning, PetscInt);
1646 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning, Mat);
1647 PETSC_EXTERN PetscErrorCode MatPartitioningSetNumberVertexWeights(MatPartitioning, PetscInt);
1648 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning, const PetscInt[]);
1649 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning, const PetscReal[]);
1650 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning, PetscBool);
1651 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning, PetscBool *);
1652 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning, IS *);
1653 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning, IS *);
1654 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning, IS);
1655 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning, IS *);
1656 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning *);
1657 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[], PetscErrorCode (*)(MatPartitioning));
1658 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning, PetscViewer);
1659 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning, PetscObject, const char[]);
1660 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1661 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning, MatPartitioningType *);
1662 
1663 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1664 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1665 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1666 
1667 typedef enum {
1668   MP_CHACO_MULTILEVEL = 1,
1669   MP_CHACO_SPECTRAL   = 2,
1670   MP_CHACO_LINEAR     = 4,
1671   MP_CHACO_RANDOM     = 5,
1672   MP_CHACO_SCATTERED  = 6
1673 } MPChacoGlobalType;
1674 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1675 typedef enum {
1676   MP_CHACO_KERNIGHAN = 1,
1677   MP_CHACO_NONE      = 2
1678 } MPChacoLocalType;
1679 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1680 typedef enum {
1681   MP_CHACO_LANCZOS = 0,
1682   MP_CHACO_RQI     = 1
1683 } MPChacoEigenType;
1684 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1685 
1686 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1687 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning, MPChacoGlobalType *);
1688 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1689 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning, MPChacoLocalType *);
1690 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning, PetscReal);
1691 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning, MPChacoEigenType);
1692 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning, MPChacoEigenType *);
1693 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1694 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning, PetscReal *);
1695 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1696 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning, PetscInt *);
1697 
1698 #define MP_PARTY_OPT "opt"
1699 #define MP_PARTY_LIN "lin"
1700 #define MP_PARTY_SCA "sca"
1701 #define MP_PARTY_RAN "ran"
1702 #define MP_PARTY_GBF "gbf"
1703 #define MP_PARTY_GCF "gcf"
1704 #define MP_PARTY_BUB "bub"
1705 #define MP_PARTY_DEF "def"
1706 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char *);
1707 #define MP_PARTY_HELPFUL_SETS  "hs"
1708 #define MP_PARTY_KERNIGHAN_LIN "kl"
1709 #define MP_PARTY_NONE          "no"
1710 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char *);
1711 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning, PetscReal);
1712 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning, PetscBool);
1713 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning, PetscBool);
1714 
1715 typedef enum {
1716   MP_PTSCOTCH_DEFAULT,
1717   MP_PTSCOTCH_QUALITY,
1718   MP_PTSCOTCH_SPEED,
1719   MP_PTSCOTCH_BALANCE,
1720   MP_PTSCOTCH_SAFETY,
1721   MP_PTSCOTCH_SCALABILITY
1722 } MPPTScotchStrategyType;
1723 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1724 
1725 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning, PetscReal);
1726 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning, PetscReal *);
1727 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning, MPPTScotchStrategyType);
1728 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning, MPPTScotchStrategyType *);
1729 
1730 /*
1731  * hierarchical partitioning
1732  */
1733 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning, IS *);
1734 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning, IS *);
1735 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning, PetscInt);
1736 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1737 
1738 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat, PetscInt, Mat *);
1739 
1740 /*
1741     If you add entries here you must also add them to src/mat/f90-mod/petscmat.h
1742     If any of the enum values are changed, also update dMatOps dict at src/binding/petsc4py/src/libpetsc4py/libpetsc4py.pyx
1743 */
1744 typedef enum {
1745   MATOP_SET_VALUES               = 0,
1746   MATOP_GET_ROW                  = 1,
1747   MATOP_RESTORE_ROW              = 2,
1748   MATOP_MULT                     = 3,
1749   MATOP_MULT_ADD                 = 4,
1750   MATOP_MULT_TRANSPOSE           = 5,
1751   MATOP_MULT_TRANSPOSE_ADD       = 6,
1752   MATOP_SOLVE                    = 7,
1753   MATOP_SOLVE_ADD                = 8,
1754   MATOP_SOLVE_TRANSPOSE          = 9,
1755   MATOP_SOLVE_TRANSPOSE_ADD      = 10,
1756   MATOP_LUFACTOR                 = 11,
1757   MATOP_CHOLESKYFACTOR           = 12,
1758   MATOP_SOR                      = 13,
1759   MATOP_TRANSPOSE                = 14,
1760   MATOP_GETINFO                  = 15,
1761   MATOP_EQUAL                    = 16,
1762   MATOP_GET_DIAGONAL             = 17,
1763   MATOP_DIAGONAL_SCALE           = 18,
1764   MATOP_NORM                     = 19,
1765   MATOP_ASSEMBLY_BEGIN           = 20,
1766   MATOP_ASSEMBLY_END             = 21,
1767   MATOP_SET_OPTION               = 22,
1768   MATOP_ZERO_ENTRIES             = 23,
1769   MATOP_ZERO_ROWS                = 24,
1770   MATOP_LUFACTOR_SYMBOLIC        = 25,
1771   MATOP_LUFACTOR_NUMERIC         = 26,
1772   MATOP_CHOLESKY_FACTOR_SYMBOLIC = 27,
1773   MATOP_CHOLESKY_FACTOR_NUMERIC  = 28,
1774   MATOP_SETUP                    = 29,
1775   MATOP_ILUFACTOR_SYMBOLIC       = 30,
1776   MATOP_ICCFACTOR_SYMBOLIC       = 31,
1777   MATOP_GET_DIAGONAL_BLOCK       = 32,
1778   MATOP_SET_INF                  = 33,
1779   MATOP_DUPLICATE                = 34,
1780   MATOP_FORWARD_SOLVE            = 35,
1781   MATOP_BACKWARD_SOLVE           = 36,
1782   MATOP_ILUFACTOR                = 37,
1783   MATOP_ICCFACTOR                = 38,
1784   MATOP_AXPY                     = 39,
1785   MATOP_CREATE_SUBMATRICES       = 40,
1786   MATOP_INCREASE_OVERLAP         = 41,
1787   MATOP_GET_VALUES               = 42,
1788   MATOP_COPY                     = 43,
1789   MATOP_GET_ROW_MAX              = 44,
1790   MATOP_SCALE                    = 45,
1791   MATOP_SHIFT                    = 46,
1792   MATOP_DIAGONAL_SET             = 47,
1793   MATOP_ZERO_ROWS_COLUMNS        = 48,
1794   MATOP_SET_RANDOM               = 49,
1795   MATOP_GET_ROW_IJ               = 50,
1796   MATOP_RESTORE_ROW_IJ           = 51,
1797   MATOP_GET_COLUMN_IJ            = 52,
1798   MATOP_RESTORE_COLUMN_IJ        = 53,
1799   MATOP_FDCOLORING_CREATE        = 54,
1800   MATOP_COLORING_PATCH           = 55,
1801   MATOP_SET_UNFACTORED           = 56,
1802   MATOP_PERMUTE                  = 57,
1803   MATOP_SET_VALUES_BLOCKED       = 58,
1804   MATOP_CREATE_SUBMATRIX         = 59,
1805   MATOP_DESTROY                  = 60,
1806   MATOP_VIEW                     = 61,
1807   MATOP_CONVERT_FROM             = 62,
1808   /* MATOP_PLACEHOLDER_63=63 */
1809   MATOP_MATMAT_MULT_SYMBOLIC    = 64,
1810   MATOP_MATMAT_MULT_NUMERIC     = 65,
1811   MATOP_SET_LOCAL_TO_GLOBAL_MAP = 66,
1812   MATOP_SET_VALUES_LOCAL        = 67,
1813   MATOP_ZERO_ROWS_LOCAL         = 68,
1814   MATOP_GET_ROW_MAX_ABS         = 69,
1815   MATOP_GET_ROW_MIN_ABS         = 70,
1816   MATOP_CONVERT                 = 71,
1817   MATOP_HAS_OPERATION           = 72,
1818   /* MATOP_PLACEHOLDER_73=73, */
1819   MATOP_SET_VALUES_ADIFOR = 74,
1820   MATOP_FD_COLORING_APPLY = 75,
1821   MATOP_SET_FROM_OPTIONS  = 76,
1822   /* MATOP_PLACEHOLDER_77=77, */
1823   /* MATOP_PLACEHOLDER_78=78, */
1824   MATOP_FIND_ZERO_DIAGONALS       = 79,
1825   MATOP_MULT_MULTIPLE             = 80,
1826   MATOP_SOLVE_MULTIPLE            = 81,
1827   MATOP_GET_INERTIA               = 82,
1828   MATOP_LOAD                      = 83,
1829   MATOP_IS_SYMMETRIC              = 84,
1830   MATOP_IS_HERMITIAN              = 85,
1831   MATOP_IS_STRUCTURALLY_SYMMETRIC = 86,
1832   MATOP_SET_VALUES_BLOCKEDLOCAL   = 87,
1833   MATOP_CREATE_VECS               = 88,
1834   /* MATOP_PLACEHOLDER_89=89, */
1835   MATOP_MAT_MULT_SYMBOLIC = 90,
1836   MATOP_MAT_MULT_NUMERIC  = 91,
1837   /* MATOP_PLACEHOLDER_92=92, */
1838   MATOP_PTAP_SYMBOLIC = 93,
1839   MATOP_PTAP_NUMERIC  = 94,
1840   /* MATOP_PLACEHOLDER_95=95, */
1841   MATOP_MAT_TRANSPOSE_MULT_SYMBO = 96,
1842   MATOP_MAT_TRANSPOSE_MULT_NUMER = 97,
1843   MATOP_BIND_TO_CPU              = 98,
1844   MATOP_PRODUCTSETFROMOPTIONS    = 99,
1845   MATOP_PRODUCTSYMBOLIC          = 100,
1846   MATOP_PRODUCTNUMERIC           = 101,
1847   MATOP_CONJUGATE                = 102,
1848   MATOP_VIEW_NATIVE              = 103,
1849   MATOP_SET_VALUES_ROW           = 104,
1850   MATOP_REAL_PART                = 105,
1851   MATOP_IMAGINARY_PART           = 106,
1852   MATOP_GET_ROW_UPPER_TRIANGULAR = 107,
1853   MATOP_RESTORE_ROW_UPPER_TRIANG = 108,
1854   MATOP_MAT_SOLVE                = 109,
1855   MATOP_MAT_SOLVE_TRANSPOSE      = 110,
1856   MATOP_GET_ROW_MIN              = 111,
1857   MATOP_GET_COLUMN_VECTOR        = 112,
1858   MATOP_MISSING_DIAGONAL         = 113,
1859   MATOP_GET_SEQ_NONZERO_STRUCTUR = 114,
1860   MATOP_CREATE                   = 115,
1861   MATOP_GET_GHOSTS               = 116,
1862   MATOP_GET_LOCAL_SUB_MATRIX     = 117,
1863   MATOP_RESTORE_LOCALSUB_MATRIX  = 118,
1864   MATOP_MULT_DIAGONAL_BLOCK      = 119,
1865   MATOP_HERMITIAN_TRANSPOSE      = 120,
1866   MATOP_MULT_HERMITIAN_TRANSPOSE = 121,
1867   MATOP_MULT_HERMITIAN_TRANS_ADD = 122,
1868   MATOP_GET_MULTI_PROC_BLOCK     = 123,
1869   MATOP_FIND_NONZERO_ROWS        = 124,
1870   MATOP_GET_COLUMN_NORMS         = 125,
1871   MATOP_INVERT_BLOCK_DIAGONAL    = 126,
1872   MATOP_INVERT_VBLOCK_DIAGONAL   = 127,
1873   MATOP_CREATE_SUB_MATRICES_MPI  = 128,
1874   MATOP_SET_VALUES_BATCH         = 129,
1875   /* MATOP_PLACEHOLDER_130=130, */
1876   MATOP_TRANSPOSE_MAT_MULT_SYMBO = 131,
1877   MATOP_TRANSPOSE_MAT_MULT_NUMER = 132,
1878   MATOP_TRANSPOSE_COLORING_CREAT = 133,
1879   MATOP_TRANS_COLORING_APPLY_SPT = 134,
1880   MATOP_TRANS_COLORING_APPLY_DEN = 135,
1881   /* MATOP_PLACEHOLDER_136=136, */
1882   MATOP_RART_SYMBOLIC         = 137,
1883   MATOP_RART_NUMERIC          = 138,
1884   MATOP_SET_BLOCK_SIZES       = 139,
1885   MATOP_AYPX                  = 140,
1886   MATOP_RESIDUAL              = 141,
1887   MATOP_FDCOLORING_SETUP      = 142,
1888   MATOP_FIND_OFFBLOCK_ENTRIES = 143,
1889   MATOP_MPICONCATENATESEQ     = 144,
1890   MATOP_DESTROYSUBMATRICES    = 145,
1891   MATOP_TRANSPOSE_SOLVE       = 146,
1892   MATOP_GET_VALUES_LOCAL      = 147
1893 } MatOperation;
1894 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat, MatOperation, void (*)(void));
1895 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat, MatOperation, void (**)(void));
1896 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat, MatOperation, PetscBool *);
1897 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat, PetscBool *);
1898 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") static inline PetscErrorCode MatFreeIntermediateDataStructures(Mat A)
1899 {
1900   return MatProductClear(A);
1901 }
1902 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat, MatOperation, void (*)(void));
1903 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat, MatOperation, void (**)(void));
1904 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat, void *);
1905 PETSC_EXTERN PetscErrorCode MatShellSetContextDestroy(Mat, PetscErrorCode (*)(void *));
1906 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat, VecType);
1907 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1908 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat, PetscErrorCode (*)(void *, Vec, Vec), Vec, void *, PetscBool *);
1909 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1910 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat, MatProductType, PetscErrorCode (*)(Mat, Mat, Mat, void **), PetscErrorCode (*)(Mat, Mat, Mat, void *), PetscErrorCode (*)(void *), MatType, MatType);
1911 PETSC_EXTERN PetscErrorCode MatIsShell(Mat, PetscBool *);
1912 
1913 /*
1914    Codes for matrices stored on disk. By default they are
1915    stored in a universal format. By changing the format with
1916    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1917    be stored in a way natural for the matrix, for example dense matrices
1918    would be stored as dense. Matrices stored this way may only be
1919    read into matrices of the same type.
1920 */
1921 #define MATRIX_BINARY_FORMAT_DENSE -1
1922 
1923 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat, PetscReal);
1924 
1925 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat, MatType);
1926 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat, PetscInt, const PetscInt[], PetscInt, const PetscInt[]);
1927 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat, PetscBool);
1928 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat, PetscBool);
1929 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat, Mat *);
1930 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat, Mat *);
1931 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat, Mat);
1932 PETSC_EXTERN PetscErrorCode MatISGetLocalToGlobalMapping(Mat, ISLocalToGlobalMapping *, ISLocalToGlobalMapping *);
1933 PETSC_EXTERN                PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat, MatReuse, Mat *);
1934 
1935 /*S
1936      MatNullSpace - Object that removes a null space from a vector, i.e.
1937          orthogonalizes the vector to a subspace
1938 
1939    Level: advanced
1940 
1941 .seealso: `MatNullSpaceCreate()`, `MatNullSpaceSetFunction()`, `MatGetNullSpace()`, `MatSetNullSpace()`
1942 S*/
1943 typedef struct _p_MatNullSpace *MatNullSpace;
1944 
1945 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm, PetscBool, PetscInt, const Vec[], MatNullSpace *);
1946 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace, PetscErrorCode (*)(MatNullSpace, Vec, void *), void *);
1947 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace *);
1948 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace, Vec);
1949 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1950 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1951 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat, MatNullSpace);
1952 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat, MatNullSpace);
1953 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat, MatNullSpace);
1954 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat, MatNullSpace *);
1955 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace, Mat, PetscBool *);
1956 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace, PetscViewer);
1957 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace, PetscBool *, PetscInt *, const Vec **);
1958 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec, MatNullSpace *);
1959 
1960 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat, IS);
1961 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat, PetscReal);
1962 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat, PetscInt *);
1963 
1964 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat, PetscInt, Mat *);
1965 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat, PetscInt, Mat *);
1966 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat, Mat *);
1967 
1968 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat, MatType, Mat *);
1969 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat, MatType, Mat *);
1970 
1971 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperator(Mat A, Mat *B)
1972 {
1973   return MatComputeOperator(A, NULL, B);
1974 }
1975 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") static inline PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A, Mat *B)
1976 {
1977   return MatComputeOperatorTranspose(A, NULL, B);
1978 }
1979 
1980 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat, PetscInt, PetscInt, const PetscScalar[], const PetscScalar[], Mat *);
1981 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat, Mat *);
1982 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat, PetscInt *, PetscInt *, PetscScalar **);
1983 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1984 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat, PetscScalar **);
1985 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat, const PetscScalar **);
1986 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat, PetscInt *, PetscInt *, PetscScalar **);
1987 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat, PetscInt *, PetscInt *, const PetscScalar **);
1988 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat, PetscScalar **);
1989 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat, const PetscScalar **);
1990 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat, Mat);
1991 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat, PetscInt, PetscInt, const PetscScalar[]);
1992 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat, PetscInt, PetscInt, const PetscScalar[]);
1993 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat, PetscBool *);
1994 
1995 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat, Vec);
1996 
1997 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
1998 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat, Vec, Vec);
1999 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat, PetscErrorCode (*)(void *, Vec, Vec), void *);
2000 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat, PetscErrorCode (*)(void *, PetscInt, Vec, PetscScalar *));
2001 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat, PetscErrorCode (*)(void *, Vec));
2002 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat, PetscScalar[], PetscInt);
2003 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
2004 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat, PetscReal);
2005 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat, PetscInt);
2006 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat, PetscScalar *);
2007 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat, const char[]);
2008 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void *, Vec, Vec, PetscScalar *);
2009 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat, PetscErrorCode (*)(void *, Vec, Vec, PetscScalar *), void *);
2010 
2011 /*S
2012     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
2013               Jacobian vector products
2014 
2015     Notes:
2016     `MATMFFD` is a specific `MatType` which uses the `MatMFFD` data structure
2017 
2018     MatMFFD*() methods actually take the Mat as their first argument. Not a `MatMFFD` data structure
2019 
2020     Level: developer
2021 
2022 .seealso: `MATMFFD`, `MatCreateMFFD()`, `MatMFFDSetFuction()`, `MatMFFDSetType()`, `MatMFFDRegister()`
2023 S*/
2024 typedef struct _p_MatMFFD *MatMFFD;
2025 
2026 /*J
2027     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
2028 
2029    Level: beginner
2030 
2031 .seealso: `MatMFFDSetType()`, `MatMFFDRegister()`
2032 J*/
2033 typedef const char *MatMFFDType;
2034 #define MATMFFD_DS "ds"
2035 #define MATMFFD_WP "wp"
2036 
2037 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat, MatMFFDType);
2038 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[], PetscErrorCode (*)(MatMFFD));
2039 
2040 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat, PetscReal);
2041 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat, PetscBool);
2042 
2043 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring, MatMFFDType);
2044 
2045 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
2046 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
2047 
2048 #ifdef PETSC_HAVE_H2OPUS
2049 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatH2OpusKernel)(PetscInt, PetscReal[], PetscReal[], void *);
2050 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], PetscBool, MatH2OpusKernel, void *, PetscReal, PetscInt, PetscInt, Mat *);
2051 PETSC_EXTERN PetscErrorCode MatCreateH2OpusFromMat(Mat, PetscInt, const PetscReal[], PetscBool, PetscReal, PetscInt, PetscInt, PetscInt, PetscReal, Mat *);
2052 PETSC_EXTERN PetscErrorCode MatH2OpusSetSamplingMat(Mat, Mat, PetscInt, PetscReal);
2053 PETSC_EXTERN PetscErrorCode MatH2OpusOrthogonalize(Mat);
2054 PETSC_EXTERN PetscErrorCode MatH2OpusCompress(Mat, PetscReal);
2055 PETSC_EXTERN PetscErrorCode MatH2OpusSetNativeMult(Mat, PetscBool);
2056 PETSC_EXTERN PetscErrorCode MatH2OpusGetNativeMult(Mat, PetscBool *);
2057 PETSC_EXTERN PetscErrorCode MatH2OpusGetIndexMap(Mat, IS *);
2058 PETSC_EXTERN PetscErrorCode MatH2OpusMapVec(Mat, PetscBool, Vec, Vec *);
2059 PETSC_EXTERN PetscErrorCode MatH2OpusLowRankUpdate(Mat, Mat, Mat, PetscScalar);
2060 #endif
2061 
2062 #ifdef PETSC_HAVE_HTOOL
2063 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatHtoolKernel)(PetscInt, PetscInt, PetscInt, const PetscInt *, const PetscInt *, PetscScalar *, void *);
2064 PETSC_EXTERN PetscErrorCode MatCreateHtoolFromKernel(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscReal[], const PetscReal[], MatHtoolKernel, void *, Mat *);
2065 PETSC_EXTERN PetscErrorCode MatHtoolSetKernel(Mat, MatHtoolKernel, void *);
2066 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationSource(Mat, IS *);
2067 PETSC_EXTERN PetscErrorCode MatHtoolGetPermutationTarget(Mat, IS *);
2068 PETSC_EXTERN PetscErrorCode MatHtoolUsePermutation(Mat, PetscBool);
2069 /*E
2070      MatHtoolCompressorType - Indicates the type of compressor used by a `MATHTOOL`
2071 
2072    Level: beginner
2073 
2074     Values:
2075 +   `MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA` (default) - symmetric partial adaptive cross approximation
2076 .   `MAT_HTOOL_COMPRESSOR_FULL_ACA` - full adaptive cross approximation
2077 -   `MAT_HTOOL_COMPRESSOR_SVD` - singular value decomposition
2078 
2079 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolClusteringType`
2080 E*/
2081 typedef enum {
2082   MAT_HTOOL_COMPRESSOR_SYMPARTIAL_ACA,
2083   MAT_HTOOL_COMPRESSOR_FULL_ACA,
2084   MAT_HTOOL_COMPRESSOR_SVD
2085 } MatHtoolCompressorType;
2086 /*E
2087      MatHtoolClusteringType - Indicates the type of clustering used by a `MATHTOOL`
2088 
2089    Level: beginner
2090 
2091     Values:
2092 +   `MAT_HTOOL_CLUSTERING_PCA_REGULAR` (default) - axis computed via principle component analysis, split uniformly
2093 .   `MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC` - axis computed via principle component analysis, split barycentrically
2094 .   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR` - axis along the largest extent of the bounding box, split uniformly
2095 -   `MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC` - axis along the largest extent of the bounding box, split barycentrically
2096 
2097     Notes: higher-dimensional clustering is not yet supported in Htool, but once it is, one should add BOUNDING_BOX_{2,3} types
2098 
2099 .seealso: `MatCreateHtoolFromKernel()`, `MATHTOOL`, `MatHtoolCompressorType`
2100 E*/
2101 typedef enum {
2102   MAT_HTOOL_CLUSTERING_PCA_REGULAR,
2103   MAT_HTOOL_CLUSTERING_PCA_GEOMETRIC,
2104   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_REGULAR,
2105   MAT_HTOOL_CLUSTERING_BOUNDING_BOX_1_GEOMETRIC
2106 } MatHtoolClusteringType;
2107 #endif
2108 
2109 #ifdef PETSC_HAVE_MUMPS
2110 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat, PetscInt, PetscInt);
2111 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat, PetscInt, PetscInt *);
2112 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat, PetscInt, PetscReal);
2113 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat, PetscInt, PetscReal *);
2114 
2115 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat, PetscInt, PetscInt *);
2116 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat, PetscInt, PetscInt *);
2117 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat, PetscInt, PetscReal *);
2118 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat, PetscInt, PetscReal *);
2119 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat, Mat);
2120 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat, Mat);
2121 #endif
2122 
2123 #ifdef PETSC_HAVE_MKL_PARDISO
2124 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat, PetscInt, PetscInt);
2125 #endif
2126 
2127 #ifdef PETSC_HAVE_MKL_CPARDISO
2128 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat, PetscInt, PetscInt);
2129 #endif
2130 
2131 #ifdef PETSC_HAVE_SUPERLU
2132 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat, PetscReal);
2133 #endif
2134 
2135 #ifdef PETSC_HAVE_SUPERLU_DIST
2136 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat, PetscScalar *);
2137 #endif
2138 
2139 #ifdef PETSC_HAVE_STRUMPACK
2140 /*E
2141     MatSTRUMPACKReordering - sparsity reducing ordering to be used in `STRUMPACK`
2142 
2143     Level: intermediate
2144 E*/
2145 typedef enum {
2146   MAT_STRUMPACK_NATURAL  = 0,
2147   MAT_STRUMPACK_METIS    = 1,
2148   MAT_STRUMPACK_PARMETIS = 2,
2149   MAT_STRUMPACK_SCOTCH   = 3,
2150   MAT_STRUMPACK_PTSCOTCH = 4,
2151   MAT_STRUMPACK_RCM      = 5
2152 } MatSTRUMPACKReordering;
2153 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat, MatSTRUMPACKReordering);
2154 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat, PetscBool);
2155 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat, PetscReal);
2156 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat, PetscReal rtol)
2157 {
2158   return MatSTRUMPACKSetHSSRelTol(mat, rtol);
2159 }
2160 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat, PetscReal);
2161 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat, PetscInt);
2162 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") static inline PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat, PetscInt hssminsize)
2163 {
2164   return MatSTRUMPACKSetHSSMinSepSize(mat, hssminsize);
2165 }
2166 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat, PetscInt);
2167 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat, PetscInt);
2168 #endif
2169 
2170 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat, PetscBool);
2171 PETSC_EXTERN PetscErrorCode MatBoundToCPU(Mat, PetscBool *);
2172 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") static inline PetscErrorCode MatPinToCPU(Mat A, PetscBool flg)
2173 {
2174   return MatBindToCPU(A, flg);
2175 }
2176 PETSC_EXTERN PetscErrorCode MatSetBindingPropagates(Mat, PetscBool);
2177 PETSC_EXTERN PetscErrorCode MatGetBindingPropagates(Mat, PetscBool *);
2178 
2179 typedef struct _n_SplitCSRMat *PetscSplitCSRDataStructure;
2180 PETSC_EXTERN PetscErrorCode    MatCUSPARSEGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2181 
2182 #ifdef PETSC_HAVE_KOKKOS_KERNELS
2183 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat, PetscSplitCSRDataStructure *);
2184 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure);
2185 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure *);
2186 #endif
2187 
2188 #ifdef PETSC_HAVE_CUDA
2189 /*E
2190     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
2191     matrices.
2192 
2193     Not Collective
2194 
2195 +   `MAT_CUSPARSE_CSR` - Compressed Sparse Row
2196 .   `MAT_CUSPARSE_ELL` - Ellpack (requires CUDA 4.2 or later).
2197 -   `MAT_CUSPARSE_HYB` - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2198 
2199     Level: intermediate
2200 
2201    Developer Note:
2202    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2203 
2204 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEFormatOperation`
2205 E*/
2206 
2207 typedef enum {
2208   MAT_CUSPARSE_CSR,
2209   MAT_CUSPARSE_ELL,
2210   MAT_CUSPARSE_HYB
2211 } MatCUSPARSEStorageFormat;
2212 
2213 /* these will be strings associated with enumerated type defined above */
2214 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
2215 
2216 /*E
2217     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
2218     matrices whose operation should use a particular storage format.
2219 
2220     Not Collective
2221 
2222 +   `MAT_CUSPARSE_MULT_DIAG` - sets the storage format for the diagonal matrix in the parallel MatMult
2223 .   `MAT_CUSPARSE_MULT_OFFDIAG` - sets the storage format for the offdiagonal matrix in the parallel MatMult
2224 .   `MAT_CUSPARSE_MULT` - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2225 -   `MAT_CUSPARSE_ALL` - sets the storage format for all CUSPARSE (GPU) matrices
2226 
2227     Level: intermediate
2228 
2229 .seealso: `MatCUSPARSESetFormat()`, `MatCUSPARSEStorageFormat`
2230 E*/
2231 typedef enum {
2232   MAT_CUSPARSE_MULT_DIAG,
2233   MAT_CUSPARSE_MULT_OFFDIAG,
2234   MAT_CUSPARSE_MULT,
2235   MAT_CUSPARSE_ALL
2236 } MatCUSPARSEFormatOperation;
2237 
2238 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2239 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2240 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat, MatCUSPARSEFormatOperation, MatCUSPARSEStorageFormat);
2241 PETSC_EXTERN PetscErrorCode MatCUSPARSESetUseCPUSolve(Mat, PetscBool);
2242 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2243 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2244 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayRead(Mat, const PetscScalar **);
2245 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayRead(Mat, const PetscScalar **);
2246 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArrayWrite(Mat, PetscScalar **);
2247 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArrayWrite(Mat, PetscScalar **);
2248 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSEGetArray(Mat, PetscScalar **);
2249 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSERestoreArray(Mat, PetscScalar **);
2250 
2251 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2252 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2253 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat, PetscScalar[]);
2254 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat, PetscScalar[]);
2255 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat, PetscScalar **);
2256 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat, const PetscScalar **);
2257 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat, PetscScalar **);
2258 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat, PetscScalar **);
2259 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat, const PetscScalar **);
2260 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat, PetscScalar **);
2261 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat, const PetscScalar *);
2262 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat, const PetscScalar *);
2263 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
2264 
2265 #endif
2266 
2267 #ifdef PETSC_HAVE_HIP
2268 /*E
2269     MatHIPSPARSEStorageFormat - indicates the storage format for HIPSPARSE (GPU)
2270     matrices.
2271 
2272     Not Collective
2273 
2274 +   MAT_HIPSPARSE_CSR - Compressed Sparse Row
2275 .   MAT_HIPSPARSE_ELL - Ellpack
2276 -   MAT_HIPSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
2277 
2278     Level: intermediate
2279 
2280    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
2281 
2282 .seealso: `MatHIPSPARSESetFormat()`, `MatHIPSPARSEFormatOperation`
2283 E*/
2284 
2285 typedef enum {
2286   MAT_HIPSPARSE_CSR,
2287   MAT_HIPSPARSE_ELL,
2288   MAT_HIPSPARSE_HYB
2289 } MatHIPSPARSEStorageFormat;
2290 
2291 /* these will be strings associated with enumerated type defined above */
2292 PETSC_EXTERN const char *const MatHIPSPARSEStorageFormats[];
2293 
2294 /*E
2295     MatHIPSPARSEFormatOperation - indicates the operation of HIPSPARSE (GPU)
2296     matrices whose operation should use a particular storage format.
2297 
2298     Not Collective
2299 
2300 +   MAT_HIPSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
2301 .   MAT_HIPSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
2302 .   MAT_HIPSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
2303 -   MAT_HIPSPARSE_ALL - sets the storage format for all HIPSPARSE (GPU) matrices
2304 
2305     Level: intermediate
2306 
2307 .seealso: `MatHIPSPARSESetFormat()`, `MatHIPSPARSEStorageFormat`
2308 E*/
2309 typedef enum {
2310   MAT_HIPSPARSE_MULT_DIAG,
2311   MAT_HIPSPARSE_MULT_OFFDIAG,
2312   MAT_HIPSPARSE_MULT,
2313   MAT_HIPSPARSE_ALL
2314 } MatHIPSPARSEFormatOperation;
2315 
2316 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2317 PETSC_EXTERN PetscErrorCode MatCreateAIJHIPSPARSE(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2318 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetFormat(Mat, MatHIPSPARSEFormatOperation, MatHIPSPARSEStorageFormat);
2319 PETSC_EXTERN PetscErrorCode MatHIPSPARSESetUseCPUSolve(Mat, PetscBool);
2320 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetIJ(Mat, PetscBool, const int **, const int **);
2321 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreIJ(Mat, PetscBool, const int **, const int **);
2322 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayRead(Mat, const PetscScalar **);
2323 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayRead(Mat, const PetscScalar **);
2324 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArrayWrite(Mat, PetscScalar **);
2325 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArrayWrite(Mat, PetscScalar **);
2326 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSEGetArray(Mat, PetscScalar **);
2327 PETSC_EXTERN PetscErrorCode MatSeqAIJHIPSPARSERestoreArray(Mat, PetscScalar **);
2328 
2329 PETSC_EXTERN PetscErrorCode MatCreateDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscScalar[], Mat *);
2330 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseHIP(MPI_Comm, PetscInt, PetscInt, PetscScalar[], Mat *);
2331 PETSC_EXTERN PetscErrorCode MatMPIDenseHIPSetPreallocation(Mat, PetscScalar[]);
2332 PETSC_EXTERN PetscErrorCode MatSeqDenseHIPSetPreallocation(Mat, PetscScalar[]);
2333 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayWrite(Mat, PetscScalar **);
2334 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArrayRead(Mat, const PetscScalar **);
2335 PETSC_EXTERN PetscErrorCode MatDenseHIPGetArray(Mat, PetscScalar **);
2336 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayWrite(Mat, PetscScalar **);
2337 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArrayRead(Mat, const PetscScalar **);
2338 PETSC_EXTERN PetscErrorCode MatDenseHIPRestoreArray(Mat, PetscScalar **);
2339 PETSC_EXTERN PetscErrorCode MatDenseHIPPlaceArray(Mat, const PetscScalar *);
2340 PETSC_EXTERN PetscErrorCode MatDenseHIPReplaceArray(Mat, const PetscScalar *);
2341 PETSC_EXTERN PetscErrorCode MatDenseHIPResetArray(Mat);
2342 
2343 #endif
2344 
2345 #if defined(PETSC_HAVE_VIENNACL)
2346 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, const PetscInt[], Mat *);
2347 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, const PetscInt[], PetscInt, const PetscInt[], Mat *);
2348 #endif
2349 
2350 #if defined(PETSC_HAVE_FFTW)
2351 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat, Vec, Vec);
2352 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat, Vec, Vec);
2353 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat, Vec *, Vec *, Vec *);
2354 #endif
2355 
2356 #if defined(PETSC_HAVE_SCALAPACK)
2357 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, PetscInt, Mat *);
2358 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat, PetscInt, PetscInt);
2359 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat, PetscInt *, PetscInt *);
2360 #endif
2361 
2362 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm, PetscInt, const IS[], PetscInt, const IS[], const Mat[], Mat *);
2363 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat, PetscInt *, PetscInt *);
2364 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat, IS[], IS[]);
2365 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat, IS[], IS[]);
2366 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat, PetscInt *, PetscInt *, Mat ***);
2367 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat, PetscInt, PetscInt, Mat *);
2368 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat, VecType);
2369 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat, PetscInt, const IS[], PetscInt, const IS[], const Mat[]);
2370 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat, PetscInt, PetscInt, Mat);
2371 
2372 PETSC_EXTERN PetscErrorCode MatChop(Mat, PetscReal);
2373 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat, PetscReal, PetscInt *);
2374 
2375 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat, PetscInt, PetscInt *, IS **);
2376 
2377 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat, PetscBool, Mat);
2378 
2379 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat, Mat *);
2380 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat, Mat *);
2381 
2382 PETSC_EXTERN PetscErrorCode MatSeqAIJGetCSRAndMemType(Mat, const PetscInt **, const PetscInt **, PetscScalar **, PetscMemType *);
2383 
2384 PETSC_EXTERN PetscErrorCode MatCreateGraph(Mat, PetscBool, PetscBool, PetscReal, Mat *);
2385 PETSC_EXTERN PetscErrorCode MatEliminateZeros(Mat);
2386 #endif
2387