xref: /petsc/include/petscmat.h (revision f73b041577f311cd4e522d727240702cd4268ffe)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef PETSCMAT_H
5 #define PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
15 S*/
16 typedef struct _p_Mat*           Mat;
17 
18 /*J
19     MatType - String with the name of a PETSc matrix type
20 
21    Level: beginner
22 
23 .seealso: MatSetType(), Mat, MatSolverType, MatRegister()
24 J*/
25 typedef const char* MatType;
26 #define MATSAME            "same"
27 #define MATMAIJ            "maij"
28 #define MATSEQMAIJ         "seqmaij"
29 #define MATMPIMAIJ         "mpimaij"
30 #define MATKAIJ            "kaij"
31 #define MATSEQKAIJ         "seqkaij"
32 #define MATMPIKAIJ         "mpikaij"
33 #define MATIS              "is"
34 #define MATAIJ             "aij"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJCRL          "aijcrl"
38 #define MATSEQAIJCRL       "seqaijcrl"
39 #define MATMPIAIJCRL       "mpiaijcrl"
40 #define MATAIJCUSPARSE     "aijcusparse"
41 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
42 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
43 #define MATAIJKOKKOS       "aijkokkos"
44 #define MATSEQAIJKOKKOS    "seqaijkokkos"
45 #define MATMPIAIJKOKKOS    "mpiaijkokkos"
46 #define MATAIJVIENNACL     "aijviennacl"
47 #define MATSEQAIJVIENNACL  "seqaijviennacl"
48 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
49 #define MATAIJPERM         "aijperm"
50 #define MATSEQAIJPERM      "seqaijperm"
51 #define MATMPIAIJPERM      "mpiaijperm"
52 #define MATAIJSELL         "aijsell"
53 #define MATSEQAIJSELL      "seqaijsell"
54 #define MATMPIAIJSELL      "mpiaijsell"
55 #define MATAIJMKL          "aijmkl"
56 #define MATSEQAIJMKL       "seqaijmkl"
57 #define MATMPIAIJMKL       "mpiaijmkl"
58 #define MATBAIJMKL         "baijmkl"
59 #define MATSEQBAIJMKL      "seqbaijmkl"
60 #define MATMPIBAIJMKL      "mpibaijmkl"
61 #define MATSHELL           "shell"
62 #define MATDENSE           "dense"
63 #define MATDENSECUDA       "densecuda"
64 #define MATSEQDENSE        "seqdense"
65 #define MATSEQDENSECUDA    "seqdensecuda"
66 #define MATMPIDENSE        "mpidense"
67 #define MATMPIDENSECUDA    "mpidensecuda"
68 #define MATELEMENTAL       "elemental"
69 #define MATSCALAPACK       "scalapack"
70 #define MATBAIJ            "baij"
71 #define MATSEQBAIJ         "seqbaij"
72 #define MATMPIBAIJ         "mpibaij"
73 #define MATMPIADJ          "mpiadj"
74 #define MATSBAIJ           "sbaij"
75 #define MATSEQSBAIJ        "seqsbaij"
76 #define MATMPISBAIJ        "mpisbaij"
77 #define MATMFFD            "mffd"
78 #define MATNORMAL          "normal"
79 #define MATNORMALHERMITIAN "normalh"
80 #define MATLRC             "lrc"
81 #define MATSCATTER         "scatter"
82 #define MATBLOCKMAT        "blockmat"
83 #define MATCOMPOSITE       "composite"
84 #define MATFFT             "fft"
85 #define MATFFTW            "fftw"
86 #define MATSEQCUFFT        "seqcufft"
87 #define MATTRANSPOSEMAT    "transpose"
88 #define MATSCHURCOMPLEMENT "schurcomplement"
89 #define MATPYTHON          "python"
90 #define MATHYPRE           "hypre"
91 #define MATHYPRESTRUCT     "hyprestruct"
92 #define MATHYPRESSTRUCT    "hypresstruct"
93 #define MATSUBMATRIX       "submatrix"
94 #define MATLOCALREF        "localref"
95 #define MATNEST            "nest"
96 #define MATPREALLOCATOR    "preallocator"
97 #define MATSELL            "sell"
98 #define MATSEQSELL         "seqsell"
99 #define MATMPISELL         "mpisell"
100 #define MATDUMMY           "dummy"
101 #define MATLMVM            "lmvm"
102 #define MATLMVMDFP         "lmvmdfp"
103 #define MATLMVMBFGS        "lmvmbfgs"
104 #define MATLMVMSR1         "lmvmsr1"
105 #define MATLMVMBROYDEN     "lmvmbroyden"
106 #define MATLMVMBADBROYDEN  "lmvmbadbroyden"
107 #define MATLMVMSYMBROYDEN  "lmvmsymbroyden"
108 #define MATLMVMSYMBADBROYDEN "lmvmsymbadbroyden"
109 #define MATLMVMDIAGBROYDEN   "lmvmdiagbroyden"
110 #define MATCONSTANTDIAGONAL  "constantdiagonal"
111 #define MATHARA              "hara"
112 
113 /*J
114     MatSolverType - String with the name of a PETSc matrix solver type.
115 
116     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
117 
118    Level: beginner
119 
120    Notes:  MATSOLVERUMFPACK, MATSOLVERCHOLMOD, MATSOLVERKLU, MATSOLVERSPQR form the SuiteSparse package for which you can use --download-suitesparse
121 
122 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
123 J*/
124 typedef const char* MatSolverType;
125 #define MATSOLVERSUPERLU          "superlu"
126 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
127 #define MATSOLVERSTRUMPACK        "strumpack"
128 #define MATSOLVERUMFPACK          "umfpack"
129 #define MATSOLVERCHOLMOD          "cholmod"
130 #define MATSOLVERKLU              "klu"
131 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
132 #define MATSOLVERELEMENTAL        "elemental"
133 #define MATSOLVERSCALAPACK        "scalapack"
134 #define MATSOLVERESSL             "essl"
135 #define MATSOLVERLUSOL            "lusol"
136 #define MATSOLVERMUMPS            "mumps"
137 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
138 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
139 #define MATSOLVERPASTIX           "pastix"
140 #define MATSOLVERMATLAB           "matlab"
141 #define MATSOLVERPETSC            "petsc"
142 #define MATSOLVERBAS              "bas"
143 #define MATSOLVERCUSPARSE         "cusparse"
144 #define MATSOLVERCUSPARSEBAND     "cusparseband"
145 #define MATSOLVERCUDA             "cuda"
146 #define MATSOLVERKOKKOS           "kokkos"
147 #define MATSOLVERKOKKOSDEVICE     "kokkosdevice"
148 
149 /*E
150     MatFactorType - indicates what type of factorization is requested
151 
152     Level: beginner
153 
154    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
155 
156 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
157 E*/
158 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC, MAT_FACTOR_ILUDT, MAT_FACTOR_QR, MAT_FACTOR_NUM_TYPES} MatFactorType;
159 PETSC_EXTERN const char *const MatFactorTypes[];
160 
161 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
162 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
163 PETSC_EXTERN PetscErrorCode MatFactorGetCanUseOrdering(Mat, PetscBool*);
164 PETSC_DEPRECATED_FUNCTION("Use MatFactorGetCanUseOrdering() (since version 3.15)") PETSC_STATIC_INLINE PetscErrorCode MatFactorGetUseOrdering(Mat A,PetscBool *b) {return MatFactorGetCanUseOrdering(A,b);}
165 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
166 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
167 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
168 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
169 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
170 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
171 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
172 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
173 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
174 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,MatSolverFunction *f)
175 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
176 
177 /*E
178     MatProductType - indicates what type of matrix product is requested
179 
180     Level: beginner
181 
182 .seealso: MatSolverType, MatProductSetType()
183 E*/
184 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
185 PETSC_EXTERN const char *const MatProductTypes[];
186 
187 /*J
188     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
189 
190    Level: beginner
191 
192 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
193 J*/
194 typedef const char* MatProductAlgorithm;
195 #define MATPRODUCTALGORITHM_DEFAULT "default"
196 
197 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
198 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
199 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
200 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
201 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
202 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
203 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
204 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
205 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
206 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
207 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
208 
209 /* Logging support */
210 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
211 PETSC_EXTERN PetscClassId MAT_CLASSID;
212 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
213 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
214 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
215 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
216 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
217 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
218 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
219 
220 /*E
221     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
222      are to be reused to store the new matrix values.
223 
224 $  MAT_INITIAL_MATRIX - create a new matrix
225 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
226 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
227 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
228 
229     Level: beginner
230 
231    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
232 
233 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
234 E*/
235 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
236 
237 /*E
238     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
239      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
240 
241     Level: beginner
242 
243 .seealso: MatGetSeqNonzerostructure()
244 E*/
245 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
246 
247 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
248 
249 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
250 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
251 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
252 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
253 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
254 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
255 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
256 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
257 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
258 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
259 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
260 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
261 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
262 
263 PETSC_EXTERN PetscFunctionList MatList;
264 PETSC_EXTERN PetscFunctionList MatColoringList;
265 PETSC_EXTERN PetscFunctionList MatPartitioningList;
266 
267 /*E
268     MatStructure - Indicates if two matrices have the same nonzero structure
269 
270     Level: beginner
271 
272    Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
273 
274 .seealso: MatCopy(), MatAXPY()
275 E*/
276 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
277 PETSC_EXTERN const char *const MatStructures[];
278 
279 #if defined PETSC_HAVE_MKL_SPARSE
280 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
281 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
282 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
283 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
284 #endif
285 
286 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
287 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
288 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
289 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
290 
291 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
292 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
293 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
294 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
295 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
296 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
297 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
298 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
299 
300 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
301 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
302 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
303 
304 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscInt,const PetscInt[],const PetscInt[]);
305 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
306 
307 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
308 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
309 
310 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
311 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
312 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
313 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
314 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
315 
316 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
317 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
318 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
319 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
320 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
321 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
322 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
323 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
324 
325 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
326 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
327 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
328 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
329 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
330 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
331 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
332 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
333 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
334 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
335 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
336 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
337 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
338 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
339 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
340 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
341 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
342 
343 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
344 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
345 
346 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
347 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
348 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
349 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
350 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
351 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
352 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
353 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
354 
355 #if defined(PETSC_HAVE_HYPRE)
356 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
357 #endif
358 
359 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
360 
361 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
362 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
363 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
364 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
365 
366 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
367 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
368 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
369 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
370 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
371 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
372 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
373 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
374 
375 /* ------------------------------------------------------------*/
376 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
377 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
378 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
379 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
380 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
381 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
382 
383 /*S
384      MatStencil - Data structure (C struct) for storing information about a single row or
385         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
386 
387    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).
388    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.
389 
390    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
391 
392    Fortran usage is different, see MatSetValuesStencil() for details.
393 
394    Level: beginner
395 
396 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
397 S*/
398 typedef struct {
399   PetscInt k,j,i,c;
400 } MatStencil;
401 
402 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
403 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
404 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
405 
406 /*E
407     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
408      to continue to add or insert values to it
409 
410     Level: beginner
411 
412 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
413 E*/
414 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
415 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
416 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
417 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
418 
419 
420 
421 /*E
422     MatOption - Options that may be set for a matrix and its behavior or storage
423 
424     Level: beginner
425 
426    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
427    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
428 
429    Developer Notes:
430     Entries that are negative need not be called collectively by all processes.
431 
432 .seealso: MatSetOption()
433 E*/
434 typedef enum {MAT_OPTION_MIN = -3,
435               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
436               MAT_ROW_ORIENTED = -1,
437               MAT_SYMMETRIC = 1,
438               MAT_STRUCTURALLY_SYMMETRIC = 2,
439               MAT_FORCE_DIAGONAL_ENTRIES = 3,
440               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
441               MAT_USE_HASH_TABLE = 5,
442               MAT_KEEP_NONZERO_PATTERN = 6,
443               MAT_IGNORE_ZERO_ENTRIES = 7,
444               MAT_USE_INODES = 8,
445               MAT_HERMITIAN = 9,
446               MAT_SYMMETRY_ETERNAL = 10,
447               MAT_NEW_NONZERO_LOCATION_ERR = 11,
448               MAT_IGNORE_LOWER_TRIANGULAR = 12,
449               MAT_ERROR_LOWER_TRIANGULAR = 13,
450               MAT_GETROW_UPPERTRIANGULAR = 14,
451               MAT_SPD = 15,
452               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
453               MAT_NO_OFF_PROC_ENTRIES = 17,
454               MAT_NEW_NONZERO_LOCATIONS = 18,
455               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
456               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
457               MAT_SUBMAT_SINGLEIS = 21,
458               MAT_STRUCTURE_ONLY = 22,
459               MAT_SORTED_FULL = 23,
460               MAT_FORM_EXPLICIT_TRANSPOSE = 24,
461               MAT_OPTION_MAX = 25} MatOption;
462 
463 PETSC_EXTERN const char *const *MatOptions;
464 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
465 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
466 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
467 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
468 
469 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
470 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
471 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
472 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
473 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
474 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
475 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
476 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
477 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
478 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
479 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
480 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
481 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
482 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
483 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
484 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
485 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
486 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
487 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
488 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
489 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
490 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
491 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
492 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
493 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
494 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
495 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
496 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
497 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
498 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
499 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
500 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
501 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
502 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
503 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
504 
505 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
506 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
507 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
508 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
509 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
510 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
511 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
512 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
513 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
514 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
515 
516 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
517 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
518 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
519 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
520 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
521 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
522 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
523 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
524 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
525 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
526 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
527 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
528 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
529 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
530 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
531 
532 /*E
533     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
534   its numerical values copied over or just its nonzero structure.
535 
536     Level: beginner
537 
538    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
539 
540 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
541 $                               with zeros for the numerical values.
542 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
543 $                               and with the same numerical values.
544 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
545 $                               and does not copy it, using zeros for the numerical values. The parent and
546 $                               child matrices will share their index (i and j) arrays, and you cannot
547 $                               insert new nonzero entries into either matrix.
548 
549 Notes:
550     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
551 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
552 
553 .seealso: MatDuplicate()
554 E*/
555 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
556 
557 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
558 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
559 
560 
561 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
562 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
563 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
564 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
565 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
566 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
567 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
568 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
569 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
570 
571 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
572 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
573 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
574 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
575 
576 /*S
577      MatInfo - Context of matrix information, used with MatGetInfo()
578 
579    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
580 
581    Level: intermediate
582 
583 .seealso:  MatGetInfo(), MatInfoType
584 S*/
585 typedef struct {
586   PetscLogDouble block_size;                         /* block size */
587   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
588   PetscLogDouble memory;                             /* memory allocated */
589   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
590   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
591   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
592   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
593 } MatInfo;
594 
595 /*E
596     MatInfoType - Indicates if you want information about the local part of the matrix,
597      the entire parallel matrix or the maximum over all the local parts.
598 
599     Level: beginner
600 
601    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
602 
603 .seealso: MatGetInfo(), MatInfo
604 E*/
605 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
606 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
607 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
608 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
609 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
610 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
611 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
612 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
613 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
614 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
615 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
616 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
617 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
618 
619 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
620 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
621 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
622 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
623 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
624 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
625 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
626 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
627 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
628 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
629 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
630 
631 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
632 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
633 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
634 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
635 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
636 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
637 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
638 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
639 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
640 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
641 
642 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
643 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
644 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
645 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
646 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
647 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
648 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
649 
650 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
651 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
652 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
653 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
654 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
655 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
656 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
657 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
658 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
659 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
660 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
661 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
662 
663 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
664 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
665 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
666 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
667 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
668 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
669 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
670 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
671 
672 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
673 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
674 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
675 
676 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
677 
678 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
679 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
680 
681 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
682 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
683 
684 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
685 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
686 
687 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
688 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
689 
690 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
691 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
692 
693 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
694 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
695 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
696 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
697 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
698 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
699 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
700 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
701 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
702 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
703 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
704 
705 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
706 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
707 
708 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
709 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
710 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
711 PETSC_EXTERN PetscErrorCode MatMatInterpolate(Mat,Mat,Mat*);
712 PETSC_EXTERN PetscErrorCode MatMatInterpolateAdd(Mat,Mat,Mat,Mat*);
713 PETSC_EXTERN PetscErrorCode MatMatRestrict(Mat,Mat,Mat*);
714 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
715 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
716 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
717 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
718 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
719 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
720 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
721 
722 /*MC
723    MatSetValue - Set a single entry into a matrix.
724 
725    Not collective
726 
727    Synopsis:
728      #include <petscmat.h>
729      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
730 
731    Input Parameters:
732 +  m - the matrix
733 .  row - the row location of the entry
734 .  col - the column location of the entry
735 .  value - the value to insert
736 -  mode - either INSERT_VALUES or ADD_VALUES
737 
738    Notes:
739    For efficiency one should use MatSetValues() and set several or many
740    values simultaneously if possible.
741 
742    Level: beginner
743 
744 .seealso: MatSetValues(), MatSetValueLocal()
745 M*/
746 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
747 
748 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
749 
750 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
751 
752 /*MC
753    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
754        row in a matrix providing the data that one can use to correctly preallocate the matrix.
755 
756    Synopsis:
757    #include <petscmat.h>
758    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
759 
760    Collective
761 
762    Input Parameters:
763 +  comm - the communicator that will share the eventually allocated matrix
764 .  nrows - the number of LOCAL rows in the matrix
765 -  ncols - the number of LOCAL columns in the matrix
766 
767    Output Parameters:
768 +  dnz - the array that will be passed to the matrix preallocation routines
769 -  onz - the other array passed to the matrix preallocation routines
770 
771    Level: intermediate
772 
773    Notes:
774     See Users-Manual: ch_performance for more details.
775 
776    Do not malloc or free dnz and onz, that is handled internally by these routines
777 
778    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
779 
780 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
781           MatPreallocateSymmetricSetLocalBlock()
782 M*/
783 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
784 do { \
785   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
786   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
787   __start = 0; __end = __start;                                         \
788   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __start = __end - __ncols;\
789   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __rstart = __rstart - __nrows; \
790   do { } while (0)
791 
792 /*MC
793    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
794        inserted using a local number of the rows and columns
795 
796    Synopsis:
797    #include <petscmat.h>
798    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
799 
800    Not Collective
801 
802    Input Parameters:
803 +  map - the row mapping from local numbering to global numbering
804 .  nrows - the number of rows indicated
805 .  rows - the indices of the rows
806 .  cmap - the column mapping from local to global numbering
807 .  ncols - the number of columns in the matrix
808 .  cols - the columns indicated
809 .  dnz - the array that will be passed to the matrix preallocation routines
810 -  onz - the other array passed to the matrix preallocation routines
811 
812    Level: intermediate
813 
814    Notes:
815     See Users-Manual: ch_performance for more details.
816 
817    Do not malloc or free dnz and onz, that is handled internally by these routines
818 
819 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
820           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
821 M*/
822 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
823 do {\
824   PetscInt __l;\
825   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
826   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
827   for (__l=0;__l<nrows;__l++) {\
828     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
829   }\
830  } while (0)
831 
832 /*MC
833    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
834        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
835 
836    Synopsis:
837    #include <petscmat.h>
838    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
839 
840    Not Collective
841 
842    Input Parameters:
843 +  map - the row mapping from local numbering to global numbering
844 .  nrows - the number of rows indicated
845 .  rows - the indices of the rows (these values are mapped to the global values)
846 .  cmap - the column mapping from local to global numbering
847 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
848 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
849 .  dnz - the array that will be passed to the matrix preallocation routines
850 -  onz - the other array passed to the matrix preallocation routines
851 
852    Level: intermediate
853 
854    Notes:
855     See Users-Manual: ch_performance for more details.
856 
857    Do not malloc or free dnz and onz, that is handled internally by these routines
858 
859 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
860           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
861 M*/
862 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
863 do {\
864   PetscInt __l;\
865   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
866   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
867   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
868   for (__l=0;__l<nrows;__l++) {\
869     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
870   }\
871  } while (0)
872 
873 /*MC
874    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
875        inserted using a local number of the rows and columns
876 
877    Synopsis:
878    #include <petscmat.h>
879    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
880 
881    Not Collective
882 
883    Input Parameters:
884 +  map - the row mapping from local numbering to global numbering
885 .  nrows - the number of rows indicated
886 .  rows - the indices of the rows
887 .  cmap - the column mapping from local to global numbering
888 .  ncols - the number of columns in the matrix
889 .  cols - the columns indicated
890 .  dnz - the array that will be passed to the matrix preallocation routines
891 -  onz - the other array passed to the matrix preallocation routines
892 
893    Level: intermediate
894 
895    Notes:
896     See Users-Manual: ch_performance for more details.
897 
898    Do not malloc or free dnz and onz, that is handled internally by these routines
899 
900 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
901           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
902 M*/
903 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
904 do {\
905   PetscInt __l;\
906   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
907   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
908   for (__l=0;__l<nrows;__l++) {\
909     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
910   }\
911 } while (0)
912 
913 /*MC
914    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
915        inserted using a local number of the rows and columns
916 
917    Synopsis:
918    #include <petscmat.h>
919    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
920 
921    Not Collective
922 
923    Input Parameters:
924 +  map - the mapping between local numbering and global numbering
925 .  nrows - the number of rows indicated
926 .  rows - the indices of the rows
927 .  ncols - the number of columns in the matrix
928 .  cols - the columns indicated
929 .  dnz - the array that will be passed to the matrix preallocation routines
930 -  onz - the other array passed to the matrix preallocation routines
931 
932    Level: intermediate
933 
934    Notes:
935     See Users-Manual: ch_performance for more details.
936 
937    Do not malloc or free dnz and onz that is handled internally by these routines
938 
939 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
940           MatPreallocateInitialize(),  MatPreallocateSetLocal()
941 M*/
942 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
943 do {\
944   PetscInt __l;\
945   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
946   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
947   for (__l=0;__l<nrows;__l++) {\
948     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
949   }\
950 } while (0)
951 
952 /*MC
953    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
954        inserted using a local number of the rows and columns
955 
956    Synopsis:
957    #include <petscmat.h>
958    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
959 
960    Not Collective
961 
962    Input Parameters:
963 +  row - the row
964 .  ncols - the number of columns in the matrix
965 -  cols - the columns indicated
966 
967    Output Parameters:
968 +  dnz - the array that will be passed to the matrix preallocation routines
969 -  onz - the other array passed to the matrix preallocation routines
970 
971    Level: intermediate
972 
973    Notes:
974     See Users-Manual: ch_performance for more details.
975 
976    Do not malloc or free dnz and onz that is handled internally by these routines
977 
978    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
979 
980 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
981           MatPreallocateInitialize(), MatPreallocateSetLocal()
982 M*/
983 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
984 do { PetscInt __i; \
985   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
986   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
987   for (__i=0; __i<nc; __i++) {\
988     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
989     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
990   }\
991 } while (0)
992 
993 /*MC
994    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
995        inserted using a local number of the rows and columns
996 
997    Synopsis:
998    #include <petscmat.h>
999    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
1000 
1001    Not Collective
1002 
1003    Input Parameters:
1004 +  nrows - the number of rows indicated
1005 .  rows - the indices of the rows
1006 .  ncols - the number of columns in the matrix
1007 .  cols - the columns indicated
1008 .  dnz - the array that will be passed to the matrix preallocation routines
1009 -  onz - the other array passed to the matrix preallocation routines
1010 
1011    Level: intermediate
1012 
1013    Notes:
1014     See Users-Manual: ch_performance for more details.
1015 
1016    Do not malloc or free dnz and onz that is handled internally by these routines
1017 
1018    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1019 
1020 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1021           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1022 M*/
1023 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1024 do { PetscInt __i; \
1025   for (__i=0; __i<nc; __i++) {\
1026     if (cols[__i] >= __end) onz[row - __rstart]++; \
1027     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1028   }\
1029 } while (0)
1030 
1031 /*MC
1032    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1033 
1034    Synopsis:
1035    #include <petscmat.h>
1036    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1037 
1038    Not Collective
1039 
1040    Input Parameters:
1041 +  A - matrix
1042 .  row - row where values exist (must be local to this process)
1043 .  ncols - number of columns
1044 .  cols - columns with nonzeros
1045 .  dnz - the array that will be passed to the matrix preallocation routines
1046 -  onz - the other array passed to the matrix preallocation routines
1047 
1048    Level: intermediate
1049 
1050    Notes:
1051     See Users-Manual: ch_performance for more details.
1052 
1053    Do not malloc or free dnz and onz that is handled internally by these routines
1054 
1055    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1056 
1057 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1058           MatPreallocateSymmetricSetLocalBlock()
1059 M*/
1060 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0; do {if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}} while (0)
1061 
1062 
1063 /*MC
1064    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1065        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1066 
1067    Synopsis:
1068    #include <petscmat.h>
1069    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1070 
1071    Collective
1072 
1073    Input Parameters:
1074 +  dnz - the array that was be passed to the matrix preallocation routines
1075 -  onz - the other array passed to the matrix preallocation routines
1076 
1077    Level: intermediate
1078 
1079    Notes:
1080     See Users-Manual: ch_performance for more details.
1081 
1082    Do not malloc or free dnz and onz that is handled internally by these routines
1083 
1084    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1085 
1086 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1087           MatPreallocateSymmetricSetLocalBlock()
1088 M*/
1089 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1090 
1091 /* Routines unique to particular data structures */
1092 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1093 
1094 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1095 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1096 
1097 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1098 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1099 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1100 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1101 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1102 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1103 
1104 #define MAT_SKIP_ALLOCATION -4
1105 
1106 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1107 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1108 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1109 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1110 
1111 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1112 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1113 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1114 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1115 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1116 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1117 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1118 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1119 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1120 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1121 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1122 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1123 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1124 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1125 
1126 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1127 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1128 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1129 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1130 
1131 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1132 
1133 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1134 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1135 
1136 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1137 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1138 /*
1139   These routines are not usually accessed directly, rather solving is
1140   done through the KSP and PC interfaces.
1141 */
1142 
1143 /*J
1144     MatOrderingType - String with the name of a PETSc matrix ordering
1145 
1146    Level: beginner
1147 
1148    Notes:
1149       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1150 
1151 .seealso: MatGetOrdering()
1152 J*/
1153 typedef const char* MatOrderingType;
1154 #define MATORDERINGNATURAL        "natural"
1155 #define MATORDERINGND             "nd"
1156 #define MATORDERING1WD            "1wd"
1157 #define MATORDERINGRCM            "rcm"
1158 #define MATORDERINGQMD            "qmd"
1159 #define MATORDERINGROWLENGTH      "rowlength"
1160 #define MATORDERINGWBM            "wbm"
1161 #define MATORDERINGSPECTRAL       "spectral"
1162 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1163 #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 */
1164 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1165 
1166 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1167 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1168 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1169 PETSC_EXTERN PetscFunctionList MatOrderingList;
1170 
1171 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1172 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1173 
1174 /*S
1175     MatFactorShiftType - Numeric Shift for factorizations
1176 
1177    Level: beginner
1178 
1179 .seealso: MatGetFactor()
1180 S*/
1181 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1182 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1183 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1184 
1185 /*S
1186     MatFactorError - indicates what type of error was generated in a matrix factorization
1187 
1188     Level: beginner
1189 
1190     Developer Notes:
1191     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1192 
1193 .seealso: MatGetFactor()
1194 S*/
1195 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1196 
1197 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1198 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1199 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1200 
1201 /*S
1202    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1203 
1204    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1205 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1206 
1207    Notes:
1208     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1209 
1210       You can use MatFactorInfoInitialize() to set default values.
1211 
1212    Level: developer
1213 
1214 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1215           MatFactorInfoInitialize()
1216 
1217 S*/
1218 typedef struct {
1219   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1220   PetscReal     usedt;
1221   PetscReal     dt;             /* drop tolerance */
1222   PetscReal     dtcol;          /* tolerance for pivoting */
1223   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1224   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1225   PetscReal     levels;         /* ICC/ILU(levels) */
1226   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1227                                    factorization may be faster if do not pivot */
1228   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1229   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1230   PetscReal     shiftamount;     /* how large the shift is */
1231 } MatFactorInfo;
1232 
1233 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1234 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1235 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1236 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1237 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1238 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1239 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1240 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1241 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1242 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1243 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1244 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1245 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1246 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1247 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1248 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1249 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1250 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1251 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1252 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1253 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1254 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1255 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1256 
1257 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1258 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1259 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1260 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1261 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1262 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1263 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1264 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1265 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1266 
1267 /*E
1268     MatSORType - What type of (S)SOR to perform
1269 
1270     Level: beginner
1271 
1272    May be bitwise ORd together
1273 
1274    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1275 
1276    MatSORType may be bitwise ORd together, so do not change the numbers
1277 
1278 .seealso: MatSOR()
1279 E*/
1280 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1281               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1282               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1283               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1284 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1285 
1286 /*
1287     These routines are for efficiently computing Jacobians via finite differences.
1288 */
1289 
1290 /*S
1291      MatColoring - Object for managing the coloring of matrices.
1292 
1293    Level: beginner
1294 
1295     Notes:
1296        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1297        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1298 
1299        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1300        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1301 
1302 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1303 S*/
1304 typedef struct _p_MatColoring* MatColoring;
1305 
1306 /*J
1307     MatColoringType - String with the name of a PETSc matrix coloring
1308 
1309    Level: beginner
1310 
1311 .seealso: MatColoringSetType(), MatColoring
1312 J*/
1313 typedef const  char*           MatColoringType;
1314 #define MATCOLORINGJP      "jp"
1315 #define MATCOLORINGPOWER   "power"
1316 #define MATCOLORINGNATURAL "natural"
1317 #define MATCOLORINGSL      "sl"
1318 #define MATCOLORINGLF      "lf"
1319 #define MATCOLORINGID      "id"
1320 #define MATCOLORINGGREEDY  "greedy"
1321 
1322 /*E
1323    MatColoringWeightType - Type of weight scheme
1324 
1325     Not Collective
1326 
1327 +   MAT_COLORING_RANDOM  - Random weights
1328 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1329 -   MAT_COLORING_LF      - Last-first weighting.
1330 
1331     Level: intermediate
1332 
1333    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1334 
1335 .seealso: MatColoring, MatColoringCreate()
1336 E*/
1337 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1338 
1339 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1340 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1341 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1342 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1343 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1344 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1345 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1346 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1347 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1348 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1349 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1350 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1351 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1352 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1353 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1354 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1355 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1356 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1357 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1358 
1359 /*S
1360      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1361         and coloring
1362 
1363    Level: beginner
1364 
1365    Notes:
1366       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1367 
1368 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1369 S*/
1370 typedef struct _p_MatFDColoring* MatFDColoring;
1371 
1372 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1373 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1374 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1375 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1376 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1377 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1378 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1379 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1380 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1381 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1382 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1383 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1384 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1385 
1386 /*S
1387      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1388 
1389    Level: beginner
1390 
1391 .seealso:  MatTransposeColoringCreate()
1392 S*/
1393 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1394 
1395 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1396 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1397 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1398 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1399 
1400 /*
1401     These routines are for partitioning matrices: currently used only
1402   for adjacency matrix, MatCreateMPIAdj().
1403 */
1404 
1405 /*S
1406      MatPartitioning - Object for managing the partitioning of a matrix or graph
1407 
1408    Level: beginner
1409 
1410    Notes:
1411      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1412      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1413 
1414    Developers Note:
1415      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1416 
1417 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1418 S*/
1419 typedef struct _p_MatPartitioning* MatPartitioning;
1420 
1421 /*J
1422     MatPartitioningType - String with the name of a PETSc matrix partitioning
1423 
1424    Level: beginner
1425 dm
1426 .seealso: MatPartitioningCreate(), MatPartitioning
1427 J*/
1428 typedef const char* MatPartitioningType;
1429 #define MATPARTITIONINGCURRENT  "current"
1430 #define MATPARTITIONINGAVERAGE   "average"
1431 #define MATPARTITIONINGSQUARE   "square"
1432 #define MATPARTITIONINGPARMETIS "parmetis"
1433 #define MATPARTITIONINGCHACO    "chaco"
1434 #define MATPARTITIONINGPARTY    "party"
1435 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1436 #define MATPARTITIONINGHIERARCH  "hierarch"
1437 
1438 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1439 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1440 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1441 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1442 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1443 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1444 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1445 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1446 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1447 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1448 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1449 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1450 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1451 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1452 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1453 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1454 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1455 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1456 
1457 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1458 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1459 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1460 
1461 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1462 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1463 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1464 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1465 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1466 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1467 
1468 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1469 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1470 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1471 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1472 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1473 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1474 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1475 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1476 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1477 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1478 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1479 
1480 #define MP_PARTY_OPT "opt"
1481 #define MP_PARTY_LIN "lin"
1482 #define MP_PARTY_SCA "sca"
1483 #define MP_PARTY_RAN "ran"
1484 #define MP_PARTY_GBF "gbf"
1485 #define MP_PARTY_GCF "gcf"
1486 #define MP_PARTY_BUB "bub"
1487 #define MP_PARTY_DEF "def"
1488 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1489 #define MP_PARTY_HELPFUL_SETS "hs"
1490 #define MP_PARTY_KERNIGHAN_LIN "kl"
1491 #define MP_PARTY_NONE "no"
1492 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1493 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1494 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1495 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1496 
1497 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1498 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1499 
1500 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1501 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1502 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1503 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1504 
1505 /*
1506  * hierarchical partitioning
1507  */
1508 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1509 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1510 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1511 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1512 
1513 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1514 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1515 
1516 /*
1517     If you add entries here you must also add them to include/petscmat.h
1518     and src/mat/f90-mod/petscmat.h
1519 */
1520 typedef enum { MATOP_SET_VALUES=0,
1521                MATOP_GET_ROW=1,
1522                MATOP_RESTORE_ROW=2,
1523                MATOP_MULT=3,
1524                MATOP_MULT_ADD=4,
1525                MATOP_MULT_TRANSPOSE=5,
1526                MATOP_MULT_TRANSPOSE_ADD=6,
1527                MATOP_SOLVE=7,
1528                MATOP_SOLVE_ADD=8,
1529                MATOP_SOLVE_TRANSPOSE=9,
1530                MATOP_SOLVE_TRANSPOSE_ADD=10,
1531                MATOP_LUFACTOR=11,
1532                MATOP_CHOLESKYFACTOR=12,
1533                MATOP_SOR=13,
1534                MATOP_TRANSPOSE=14,
1535                MATOP_GETINFO=15,
1536                MATOP_EQUAL=16,
1537                MATOP_GET_DIAGONAL=17,
1538                MATOP_DIAGONAL_SCALE=18,
1539                MATOP_NORM=19,
1540                MATOP_ASSEMBLY_BEGIN=20,
1541                MATOP_ASSEMBLY_END=21,
1542                MATOP_SET_OPTION=22,
1543                MATOP_ZERO_ENTRIES=23,
1544                MATOP_ZERO_ROWS=24,
1545                MATOP_LUFACTOR_SYMBOLIC=25,
1546                MATOP_LUFACTOR_NUMERIC=26,
1547                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1548                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1549                MATOP_SETUP_PREALLOCATION=29,
1550                MATOP_ILUFACTOR_SYMBOLIC=30,
1551                MATOP_ICCFACTOR_SYMBOLIC=31,
1552                MATOP_GET_DIAGONAL_BLOCK=32,
1553                MATOP_FREE_INTER_STRUCT=33,
1554                MATOP_DUPLICATE=34,
1555                MATOP_FORWARD_SOLVE=35,
1556                MATOP_BACKWARD_SOLVE=36,
1557                MATOP_ILUFACTOR=37,
1558                MATOP_ICCFACTOR=38,
1559                MATOP_AXPY=39,
1560                MATOP_CREATE_SUBMATRICES=40,
1561                MATOP_INCREASE_OVERLAP=41,
1562                MATOP_GET_VALUES=42,
1563                MATOP_COPY=43,
1564                MATOP_GET_ROW_MAX=44,
1565                MATOP_SCALE=45,
1566                MATOP_SHIFT=46,
1567                MATOP_DIAGONAL_SET=47,
1568                MATOP_ZERO_ROWS_COLUMNS=48,
1569                MATOP_SET_RANDOM=49,
1570                MATOP_GET_ROW_IJ=50,
1571                MATOP_RESTORE_ROW_IJ=51,
1572                MATOP_GET_COLUMN_IJ=52,
1573                MATOP_RESTORE_COLUMN_IJ=53,
1574                MATOP_FDCOLORING_CREATE=54,
1575                MATOP_COLORING_PATCH=55,
1576                MATOP_SET_UNFACTORED=56,
1577                MATOP_PERMUTE=57,
1578                MATOP_SET_VALUES_BLOCKED=58,
1579                MATOP_CREATE_SUBMATRIX=59,
1580                MATOP_DESTROY=60,
1581                MATOP_VIEW=61,
1582                MATOP_CONVERT_FROM=62,
1583                MATOP_MATMAT_MULT=63,
1584                MATOP_MATMAT_MULT_SYMBOLIC=64,
1585                MATOP_MATMAT_MULT_NUMERIC=65,
1586                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1587                MATOP_SET_VALUES_LOCAL=67,
1588                MATOP_ZERO_ROWS_LOCAL=68,
1589                MATOP_GET_ROW_MAX_ABS=69,
1590                MATOP_GET_ROW_MIN_ABS=70,
1591                MATOP_CONVERT=71,
1592                MATOP_SET_COLORING=72,
1593                /* MATOP_PLACEHOLDER_73=73, */
1594                MATOP_SET_VALUES_ADIFOR=74,
1595                MATOP_FD_COLORING_APPLY=75,
1596                MATOP_SET_FROM_OPTIONS=76,
1597                MATOP_MULT_CONSTRAINED=77,
1598                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1599                MATOP_FIND_ZERO_DIAGONALS=79,
1600                MATOP_MULT_MULTIPLE=80,
1601                MATOP_SOLVE_MULTIPLE=81,
1602                MATOP_GET_INERTIA=82,
1603                MATOP_LOAD=83,
1604                MATOP_IS_SYMMETRIC=84,
1605                MATOP_IS_HERMITIAN=85,
1606                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1607                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1608                MATOP_CREATE_VECS=88,
1609                MATOP_MAT_MULT=89,
1610                MATOP_MAT_MULT_SYMBOLIC=90,
1611                MATOP_MAT_MULT_NUMERIC=91,
1612                MATOP_PTAP=92,
1613                MATOP_PTAP_SYMBOLIC=93,
1614                MATOP_PTAP_NUMERIC=94,
1615                MATOP_MAT_TRANSPOSE_MULT=95,
1616                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1617                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1618                /* MATOP_PLACEHOLDER_98=98, */
1619                MATOP_PRODUCTSETFROMOPTIONS=99,
1620                MATOP_PRODUCTSYMBOLIC=100,
1621                MATOP_PRODUCTNUMERIC=101,
1622                MATOP_CONJUGATE=102,
1623                /* MATOP_PLACEHOLDER_103=103, */
1624                MATOP_SET_VALUES_ROW=104,
1625                MATOP_REAL_PART=105,
1626                MATOP_IMAGINARY_PART=106,
1627                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1628                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1629                MATOP_MAT_SOLVE=109,
1630                MATOP_MAT_SOLVE_TRANSPOSE=110,
1631                MATOP_GET_ROW_MIN=111,
1632                MATOP_GET_COLUMN_VECTOR=112,
1633                MATOP_MISSING_DIAGONAL=113,
1634                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1635                MATOP_CREATE=115,
1636                MATOP_GET_GHOSTS=116,
1637                MATOP_GET_LOCAL_SUB_MATRIX=117,
1638                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1639                MATOP_MULT_DIAGONAL_BLOCK=119,
1640                MATOP_HERMITIAN_TRANSPOSE=120,
1641                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1642                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1643                MATOP_GET_MULTI_PROC_BLOCK=123,
1644                MATOP_FIND_NONZERO_ROWS=124,
1645                MATOP_GET_COLUMN_NORMS=125,
1646                MATOP_INVERT_BLOCK_DIAGONAL=126,
1647                /* MATOP_PLACEHOLDER_127=127, */
1648                MATOP_CREATE_SUB_MATRICES_MPI=128,
1649                MATOP_SET_VALUES_BATCH=129,
1650                MATOP_TRANSPOSE_MAT_MULT=130,
1651                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1652                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1653                MATOP_TRANSPOSE_COLORING_CREAT=133,
1654                MATOP_TRANS_COLORING_APPLY_SPT=134,
1655                MATOP_TRANS_COLORING_APPLY_DEN=135,
1656                MATOP_RART=136,
1657                MATOP_RART_SYMBOLIC=137,
1658                MATOP_RART_NUMERIC=138,
1659                MATOP_SET_BLOCK_SIZES=139,
1660                MATOP_AYPX=140,
1661                MATOP_RESIDUAL=141,
1662                MATOP_FDCOLORING_SETUP=142,
1663                MATOP_MPICONCATENATESEQ=144,
1664                MATOP_DESTROYSUBMATRICES=145,
1665                MATOP_TRANSPOSE_SOLVE=146,
1666                MATOP_GET_VALUES_LOCAL=147
1667              } MatOperation;
1668 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1669 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1670 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1671 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1672 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1673 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1674 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1675 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1676 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1677 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1678 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1679 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1680 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1681 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1682 
1683 /*
1684    Codes for matrices stored on disk. By default they are
1685    stored in a universal format. By changing the format with
1686    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1687    be stored in a way natural for the matrix, for example dense matrices
1688    would be stored as dense. Matrices stored this way may only be
1689    read into matrices of the same type.
1690 */
1691 #define MATRIX_BINARY_FORMAT_DENSE -1
1692 
1693 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1694 
1695 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1696 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1697 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1698 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1699 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1700 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1701 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1702 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1703 
1704 /*S
1705      MatNullSpace - Object that removes a null space from a vector, i.e.
1706          orthogonalizes the vector to a subsapce
1707 
1708    Level: advanced
1709 
1710   Users manual sections:
1711 .   sec_singular
1712 
1713 .seealso:  MatNullSpaceCreate()
1714 S*/
1715 typedef struct _p_MatNullSpace* MatNullSpace;
1716 
1717 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1718 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1719 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1720 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1721 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1722 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1723 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1724 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1725 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1726 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1727 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1728 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1729 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1730 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1731 
1732 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1733 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1734 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1735 
1736 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1737 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1738 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1739 
1740 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1741 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1742 
1743 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1744 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1745 
1746 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1747 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1748 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1749 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1750 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1751 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1752 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1753 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1754 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1755 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1756 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1757 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1758 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1759 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1760 
1761 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1762 
1763 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1764 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1765 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1766 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1767 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1768 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1769 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1770 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1771 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1772 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1773 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1774 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1775 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1776 
1777 /*S
1778     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1779               Jacobian vector products
1780 
1781     Notes:
1782     MATMFFD is a specific MatType which uses the MatMFFD data structure
1783 
1784            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1785 
1786     Level: developer
1787 
1788 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1789 S*/
1790 typedef struct _p_MatMFFD* MatMFFD;
1791 
1792 /*J
1793     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1794 
1795    Level: beginner
1796 
1797 .seealso: MatMFFDSetType(), MatMFFDRegister()
1798 J*/
1799 typedef const char* MatMFFDType;
1800 #define MATMFFD_DS  "ds"
1801 #define MATMFFD_WP  "wp"
1802 
1803 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1804 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1805 
1806 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1807 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1808 
1809 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1810 
1811 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1812 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1813 
1814 #ifdef PETSC_HAVE_HARA
1815 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHaraKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1816 PETSC_EXTERN PetscErrorCode MatCreateHaraFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],MatHaraKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1817 PETSC_EXTERN PetscErrorCode MatCreateHaraFromMat(Mat,PetscInt,const PetscReal[],PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1818 PETSC_EXTERN PetscErrorCode MatHaraSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1819 #endif
1820 
1821 /*
1822    PETSc interface to MUMPS
1823 */
1824 #ifdef PETSC_HAVE_MUMPS
1825 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1826 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1827 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1828 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1829 
1830 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1831 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1832 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1833 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1834 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1835 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1836 #endif
1837 
1838 /*
1839    PETSc interface to Mkl_Pardiso
1840 */
1841 #ifdef PETSC_HAVE_MKL_PARDISO
1842 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1843 #endif
1844 
1845 /*
1846    PETSc interface to Mkl_CPardiso
1847 */
1848 #ifdef PETSC_HAVE_MKL_CPARDISO
1849 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1850 #endif
1851 
1852 /*
1853    PETSc interface to SUPERLU
1854 */
1855 #ifdef PETSC_HAVE_SUPERLU
1856 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1857 #endif
1858 
1859 /*
1860    PETSc interface to SUPERLU_DIST
1861 */
1862 #ifdef PETSC_HAVE_SUPERLU_DIST
1863 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1864 #endif
1865 
1866 /*
1867    PETSc interface to STRUMPACK
1868 */
1869 #ifdef PETSC_HAVE_STRUMPACK
1870 /*E
1871     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1872 
1873     Level: intermediate
1874 E*/
1875 typedef enum {MAT_STRUMPACK_NATURAL=0,
1876               MAT_STRUMPACK_METIS=1,
1877               MAT_STRUMPACK_PARMETIS=2,
1878               MAT_STRUMPACK_SCOTCH=3,
1879               MAT_STRUMPACK_PTSCOTCH=4,
1880               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1881 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1882 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1883 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1884 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1885 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1886 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1887 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1888 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1889 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1890 #endif
1891 
1892 
1893 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1894 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1895 
1896 typedef struct _p_SplitCSRMat PetscSplitCSRDataStructure;
1897 
1898 #ifdef PETSC_HAVE_KOKKOS_KERNELS
1899 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1900 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure *);
1901 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure **);
1902 #endif
1903 
1904 #ifdef PETSC_HAVE_CUDA
1905 /*E
1906     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1907     matrices.
1908 
1909     Not Collective
1910 
1911 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1912 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1913 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1914 
1915     Level: intermediate
1916 
1917    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1918 
1919 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1920 E*/
1921 
1922 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1923 
1924 /* these will be strings associated with enumerated type defined above */
1925 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1926 
1927 /*E
1928     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1929     matrices whose operation should use a particular storage format.
1930 
1931     Not Collective
1932 
1933 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1934 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1935 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1936 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1937 
1938     Level: intermediate
1939 
1940 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1941 E*/
1942 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1943 
1944 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1945 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1946 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1947 
1948 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1949 
1950 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
1951 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
1952 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
1953 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
1954 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
1955 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
1956 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
1957 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
1958 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
1959 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
1960 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
1961 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
1962 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
1963 
1964 #endif
1965 
1966 #if defined(PETSC_HAVE_VIENNACL)
1967 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1968 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1969 #endif
1970 
1971 /*
1972    PETSc interface to FFTW
1973 */
1974 #if defined(PETSC_HAVE_FFTW)
1975 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1976 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1977 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1978 #endif
1979 
1980 #if defined(PETSC_HAVE_SCALAPACK)
1981 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1982 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
1983 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
1984 #endif
1985 
1986 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1987 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1988 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1989 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1990 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1991 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1992 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1993 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1994 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1995 
1996 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1997 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1998 
1999 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
2000 
2001 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
2002 
2003 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2004 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2005 
2006 #endif
2007