xref: /petsc/include/petscmat.h (revision cf0762375add12fa0f124e50db9eeb4edce3f335)
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 MATSOLVERCUDA             "cuda"
145 #define MATSOLVERKOKKOS           "kokkos"
146 #define MATSOLVERKOKKOSDEVICE     "kokkosdevice"
147 
148 /*E
149     MatFactorType - indicates what type of factorization is requested
150 
151     Level: beginner
152 
153    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
154 
155 .seealso: MatSolverType, MatGetFactor(), MatGetFactorAvailable(), MatSolverTypeRegister()
156 E*/
157 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;
158 PETSC_EXTERN const char *const MatFactorTypes[];
159 
160 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
161 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
162 PETSC_EXTERN PetscErrorCode MatFactorGetUseOrdering(Mat, PetscBool*);
163 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
164 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
165 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
166 PETSC_EXTERN_TYPEDEF typedef PetscErrorCode (*MatSolverFunction)(Mat,MatFactorType,Mat*);
167 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,MatSolverFunction);
168 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,MatSolverFunction*);
169 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
170 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,MatSolverFunction f)
171 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
172 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)
173 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
174 
175 /*E
176     MatProductType - indicates what type of matrix product is requested
177 
178     Level: beginner
179 
180 .seealso: MatSolverType, MatProductSetType()
181 E*/
182 typedef enum {MATPRODUCT_UNSPECIFIED=0,MATPRODUCT_AB,MATPRODUCT_AtB,MATPRODUCT_ABt,MATPRODUCT_PtAP,MATPRODUCT_RARt,MATPRODUCT_ABC} MatProductType;
183 PETSC_EXTERN const char *const MatProductTypes[];
184 
185 /*J
186     MatProductAlgorithm - String with the name of an algorithm for a PETSc matrix product implementation
187 
188    Level: beginner
189 
190 .seealso: MatSetType(), Mat, MatSolverType, MatRegister(), MatProductSetAlgorithm(), MatProductType
191 J*/
192 typedef const char* MatProductAlgorithm;
193 #define MATPRODUCTALGORITHM_DEFAULT "default"
194 
195 PETSC_EXTERN PetscErrorCode MatProductCreate(Mat,Mat,Mat,Mat*);
196 PETSC_EXTERN PetscErrorCode MatProductCreateWithMat(Mat,Mat,Mat,Mat);
197 PETSC_EXTERN PetscErrorCode MatProductSetType(Mat,MatProductType);
198 PETSC_EXTERN PetscErrorCode MatProductSetAlgorithm(Mat,MatProductAlgorithm);
199 PETSC_EXTERN PetscErrorCode MatProductSetFill(Mat,PetscReal);
200 PETSC_EXTERN PetscErrorCode MatProductSetFromOptions(Mat);
201 PETSC_EXTERN PetscErrorCode MatProductSymbolic(Mat);
202 PETSC_EXTERN PetscErrorCode MatProductNumeric(Mat);
203 PETSC_EXTERN PetscErrorCode MatProductReplaceMats(Mat,Mat,Mat,Mat);
204 PETSC_EXTERN PetscErrorCode MatProductClear(Mat);
205 PETSC_EXTERN PetscErrorCode MatProductView(Mat,PetscViewer);
206 
207 /* Logging support */
208 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
209 PETSC_EXTERN PetscClassId MAT_CLASSID;
210 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
211 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
212 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
213 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
214 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
215 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
216 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
217 
218 /*E
219     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
220      are to be reused to store the new matrix values.
221 
222 $  MAT_INITIAL_MATRIX - create a new matrix
223 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
224 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
225 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
226 
227     Level: beginner
228 
229    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
230 
231 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
232 E*/
233 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
234 
235 /*E
236     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
237      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
238 
239     Level: beginner
240 
241 .seealso: MatGetSeqNonzerostructure()
242 E*/
243 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
244 
245 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
246 
247 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
248 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
249 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
250 PETSC_EXTERN PetscErrorCode MatGetVecType(Mat,VecType*);
251 PETSC_EXTERN PetscErrorCode MatSetVecType(Mat,VecType);
252 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
253 PETSC_EXTERN PetscErrorCode MatViewFromOptions(Mat,PetscObject,const char[]);
254 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
255 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
256 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
257 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
258 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
259 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
260 
261 PETSC_EXTERN PetscFunctionList MatList;
262 PETSC_EXTERN PetscFunctionList MatColoringList;
263 PETSC_EXTERN PetscFunctionList MatPartitioningList;
264 
265 /*E
266     MatStructure - Indicates if two matrices have the same nonzero structure
267 
268     Level: beginner
269 
270    Any additions/changes here MUST also be made in src/mat/f90-mod/petscmat.h
271 
272 .seealso: MatCopy(), MatAXPY()
273 E*/
274 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN,UNKNOWN_NONZERO_PATTERN} MatStructure;
275 PETSC_EXTERN const char *const MatStructures[];
276 
277 #if defined PETSC_HAVE_MKL_SPARSE
278 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
279 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
280 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
281 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
282 #endif
283 
284 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
285 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
286 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
287 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
288 
289 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
291 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
292 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
293 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
294 PETSC_EXTERN PetscErrorCode MatUpdateMPIAIJWithArrays(Mat,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
295 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
296 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
297 
298 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
299 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
300 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
301 
302 PETSC_EXTERN PetscErrorCode MatSetPreallocationCOO(Mat,PetscInt,const PetscInt[],const PetscInt[]);
303 PETSC_EXTERN PetscErrorCode MatSetValuesCOO(Mat,const PetscScalar[],InsertMode);
304 
305 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
306 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
307 
308 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
309 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
310 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
311 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
312 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
313 
314 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
315 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
316 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
317 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
318 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
319 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
320 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
321 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
322 
323 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
324 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
325 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
326 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
327 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
328 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
329 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
330 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
331 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
332 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
333 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
334 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
335 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
336 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
337 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
338 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
339 PETSC_EXTERN PetscErrorCode MatCompositeSetScalings(Mat,const PetscScalar*);
340 
341 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
342 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
343 
344 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
345 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
346 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
347 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
348 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
349 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
350 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
351 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
352 
353 #if defined(PETSC_HAVE_HYPRE)
354 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
355 #endif
356 
357 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
358 
359 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
360 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
361 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
362 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
363 
364 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
365 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
366 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
367 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
368 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
369 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
370 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
371 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
372 
373 /* ------------------------------------------------------------*/
374 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
375 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
376 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
377 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
378 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
379 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
380 
381 /*S
382      MatStencil - Data structure (C struct) for storing information about a single row or
383         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
384 
385    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).
386    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.
387 
388    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
389 
390    Fortran usage is different, see MatSetValuesStencil() for details.
391 
392    Level: beginner
393 
394 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
395 S*/
396 typedef struct {
397   PetscInt k,j,i,c;
398 } MatStencil;
399 
400 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
401 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
402 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
403 
404 /*E
405     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
406      to continue to add or insert values to it
407 
408     Level: beginner
409 
410 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
411 E*/
412 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
413 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
414 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
415 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
416 
417 
418 
419 /*E
420     MatOption - Options that may be set for a matrix and its behavior or storage
421 
422     Level: beginner
423 
424    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
425    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
426 
427    Developer Notes:
428     Entries that are negative need not be called collectively by all processes.
429 
430 .seealso: MatSetOption()
431 E*/
432 typedef enum {MAT_OPTION_MIN = -3,
433               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
434               MAT_ROW_ORIENTED = -1,
435               MAT_SYMMETRIC = 1,
436               MAT_STRUCTURALLY_SYMMETRIC = 2,
437               MAT_FORCE_DIAGONAL_ENTRIES = 3,
438               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
439               MAT_USE_HASH_TABLE = 5,
440               MAT_KEEP_NONZERO_PATTERN = 6,
441               MAT_IGNORE_ZERO_ENTRIES = 7,
442               MAT_USE_INODES = 8,
443               MAT_HERMITIAN = 9,
444               MAT_SYMMETRY_ETERNAL = 10,
445               MAT_NEW_NONZERO_LOCATION_ERR = 11,
446               MAT_IGNORE_LOWER_TRIANGULAR = 12,
447               MAT_ERROR_LOWER_TRIANGULAR = 13,
448               MAT_GETROW_UPPERTRIANGULAR = 14,
449               MAT_SPD = 15,
450               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
451               MAT_NO_OFF_PROC_ENTRIES = 17,
452               MAT_NEW_NONZERO_LOCATIONS = 18,
453               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
454               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
455               MAT_SUBMAT_SINGLEIS = 21,
456               MAT_STRUCTURE_ONLY = 22,
457               MAT_SORTED_FULL = 23,
458               MAT_OPTION_MAX = 24} MatOption;
459 
460 PETSC_EXTERN const char *const *MatOptions;
461 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
462 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
463 PETSC_EXTERN PetscErrorCode MatPropagateSymmetryOptions(Mat,Mat);
464 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
465 
466 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
467 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
468 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
469 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
470 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
471 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
472 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
473 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArrayRead(Mat,const PetscScalar *[]);
474 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
475 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArrayRead(Mat,const PetscScalar *[]);
476 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
477 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
478 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
479 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
480 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
481 PETSC_EXTERN PetscErrorCode MatSeqBAIJGetArray(Mat,PetscScalar *[]);
482 PETSC_EXTERN PetscErrorCode MatSeqBAIJRestoreArray(Mat,PetscScalar *[]);
483 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
484 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
485 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
486 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
487 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
488 PETSC_EXTERN PetscErrorCode MatDenseReplaceArray(Mat,const PetscScalar[]);
489 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
490 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
491 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
492 PETSC_EXTERN PetscErrorCode MatDenseGetArrayWrite(Mat,PetscScalar *[]);
493 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayWrite(Mat,PetscScalar *[]);
494 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
495 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
496 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
497 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
498 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
499 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
500 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
501 
502 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar*[]);
503 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar*[]);
504 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVec(Mat,PetscInt,Vec*);
505 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVec(Mat,PetscInt,Vec*);
506 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecRead(Mat,PetscInt,Vec*);
507 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecRead(Mat,PetscInt,Vec*);
508 PETSC_EXTERN PetscErrorCode MatDenseGetColumnVecWrite(Mat,PetscInt,Vec*);
509 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumnVecWrite(Mat,PetscInt,Vec*);
510 PETSC_EXTERN PetscErrorCode MatDenseGetSubMatrix(Mat,PetscInt,PetscInt,Mat*);
511 PETSC_EXTERN PetscErrorCode MatDenseRestoreSubMatrix(Mat,Mat*);
512 
513 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
514 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
515 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
516 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
517 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
518 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
519 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
520 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
521 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
522 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
523 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
524 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
526 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
527 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
528 
529 /*E
530     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
531   its numerical values copied over or just its nonzero structure.
532 
533     Level: beginner
534 
535    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
536 
537 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
538 $                               with zeros for the numerical values.
539 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
540 $                               and with the same numerical values.
541 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
542 $                               and does not copy it, using zeros for the numerical values. The parent and
543 $                               child matrices will share their index (i and j) arrays, and you cannot
544 $                               insert new nonzero entries into either matrix.
545 
546 Notes:
547     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
548 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
549 
550 .seealso: MatDuplicate()
551 E*/
552 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
553 
554 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
555 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
556 
557 
558 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
559 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
560 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
561 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
562 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
563 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
564 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
565 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
566 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
567 
568 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
569 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
570 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
571 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
572 
573 /*S
574      MatInfo - Context of matrix information, used with MatGetInfo()
575 
576    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
577 
578    Level: intermediate
579 
580 .seealso:  MatGetInfo(), MatInfoType
581 S*/
582 typedef struct {
583   PetscLogDouble block_size;                         /* block size */
584   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
585   PetscLogDouble memory;                             /* memory allocated */
586   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
587   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
588   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
589   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
590 } MatInfo;
591 
592 /*E
593     MatInfoType - Indicates if you want information about the local part of the matrix,
594      the entire parallel matrix or the maximum over all the local parts.
595 
596     Level: beginner
597 
598    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
599 
600 .seealso: MatGetInfo(), MatInfo
601 E*/
602 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
603 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
604 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
605 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
606 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
607 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
608 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
609 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
610 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
611 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
612 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
613 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
614 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
615 
616 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
617 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
618 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
619 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
620 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
621 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
622 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
623 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
624 PETSC_EXTERN PetscErrorCode MatPtAPMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
625 PETSC_EXTERN PetscErrorCode MatRARtMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
626 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
627 
628 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
629 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
630 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
631 PETSC_EXTERN PetscErrorCode MatSetInf(Mat);
632 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
633 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
634 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
635 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
636 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
637 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
638 
639 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
640 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
641 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
642 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
643 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
644 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
645 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
646 
647 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
648 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);}
649 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
650 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);}
651 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
652 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
653 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
654 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);}
655 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
656 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
657 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
658 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
659 
660 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
661 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
662 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
663 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
664 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
665 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatMerge(Mat,MatReuse,IS*,Mat*);
666 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
667 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
668 
669 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
670 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
671 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
672 
673 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
674 
675 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
676 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
677 
678 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
679 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
680 
681 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
682 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
683 
684 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
685 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
686 
687 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
688 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
689 
690 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
691 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
692 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
693 PETSC_EXTERN PetscErrorCode MatSetLayouts(Mat,PetscLayout,PetscLayout);
694 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
695 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
696 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
697 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
698 PETSC_EXTERN PetscErrorCode MatGetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
699 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
700 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
701 
702 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
703 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
704 
705 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
706 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
707 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
708 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
709 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);}
710 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
711 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
712 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
713 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
714 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
715 
716 /*MC
717    MatSetValue - Set a single entry into a matrix.
718 
719    Not collective
720 
721    Synopsis:
722      #include <petscmat.h>
723      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
724 
725    Input Parameters:
726 +  m - the matrix
727 .  row - the row location of the entry
728 .  col - the column location of the entry
729 .  value - the value to insert
730 -  mode - either INSERT_VALUES or ADD_VALUES
731 
732    Notes:
733    For efficiency one should use MatSetValues() and set several or many
734    values simultaneously if possible.
735 
736    Level: beginner
737 
738 .seealso: MatSetValues(), MatSetValueLocal()
739 M*/
740 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
741 
742 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
743 
744 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
745 
746 /*MC
747    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
748        row in a matrix providing the data that one can use to correctly preallocate the matrix.
749 
750    Synopsis:
751    #include <petscmat.h>
752    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
753 
754    Collective
755 
756    Input Parameters:
757 +  comm - the communicator that will share the eventually allocated matrix
758 .  nrows - the number of LOCAL rows in the matrix
759 -  ncols - the number of LOCAL columns in the matrix
760 
761    Output Parameters:
762 +  dnz - the array that will be passed to the matrix preallocation routines
763 -  onz - the other array passed to the matrix preallocation routines
764 
765    Level: intermediate
766 
767    Notes:
768     See Users-Manual: ch_performance for more details.
769 
770    Do not malloc or free dnz and onz, that is handled internally by these routines
771 
772    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
773 
774 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
775           MatPreallocateSymmetricSetLocalBlock()
776 M*/
777 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
778 do { \
779   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
780   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
781   __start = 0; __end = __start;                                         \
782   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __start = __end - __ncols;\
783   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRMPI(_4_ierr); __rstart = __rstart - __nrows; \
784   do { } while (0)
785 
786 /*MC
787    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
788        inserted using a local number of the rows and columns
789 
790    Synopsis:
791    #include <petscmat.h>
792    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
793 
794    Not Collective
795 
796    Input Parameters:
797 +  map - the row mapping from local numbering to global numbering
798 .  nrows - the number of rows indicated
799 .  rows - the indices of the rows
800 .  cmap - the column mapping from local to global numbering
801 .  ncols - the number of columns in the matrix
802 .  cols - the columns indicated
803 .  dnz - the array that will be passed to the matrix preallocation routines
804 -  onz - the other array passed to the matrix preallocation routines
805 
806    Level: intermediate
807 
808    Notes:
809     See Users-Manual: ch_performance for more details.
810 
811    Do not malloc or free dnz and onz, that is handled internally by these routines
812 
813 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
814           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
815 M*/
816 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
817 do {\
818   PetscInt __l;\
819   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
820   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
821   for (__l=0;__l<nrows;__l++) {\
822     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
823   }\
824  } while (0)
825 
826 /*MC
827    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
828        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
829 
830    Synopsis:
831    #include <petscmat.h>
832    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
833 
834    Not Collective
835 
836    Input Parameters:
837 +  map - the row mapping from local numbering to global numbering
838 .  nrows - the number of rows indicated
839 .  rows - the indices of the rows (these values are mapped to the global values)
840 .  cmap - the column mapping from local to global numbering
841 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
842 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
843 .  dnz - the array that will be passed to the matrix preallocation routines
844 -  onz - the other array passed to the matrix preallocation routines
845 
846    Level: intermediate
847 
848    Notes:
849     See Users-Manual: ch_performance for more details.
850 
851    Do not malloc or free dnz and onz, that is handled internally by these routines
852 
853 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
854           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
855 M*/
856 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
857 do {\
858   PetscInt __l;\
859   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
860   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
861   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
862   for (__l=0;__l<nrows;__l++) {\
863     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
864   }\
865  } while (0)
866 
867 /*MC
868    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
869        inserted using a local number of the rows and columns
870 
871    Synopsis:
872    #include <petscmat.h>
873    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
874 
875    Not Collective
876 
877    Input Parameters:
878 +  map - the row mapping from local numbering to global numbering
879 .  nrows - the number of rows indicated
880 .  rows - the indices of the rows
881 .  cmap - the column mapping from local to global numbering
882 .  ncols - the number of columns in the matrix
883 .  cols - the columns indicated
884 .  dnz - the array that will be passed to the matrix preallocation routines
885 -  onz - the other array passed to the matrix preallocation routines
886 
887    Level: intermediate
888 
889    Notes:
890     See Users-Manual: ch_performance for more details.
891 
892    Do not malloc or free dnz and onz, that is handled internally by these routines
893 
894 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
895           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
896 M*/
897 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
898 do {\
899   PetscInt __l;\
900   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
901   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
902   for (__l=0;__l<nrows;__l++) {\
903     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
904   }\
905 } while (0)
906 
907 /*MC
908    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
909        inserted using a local number of the rows and columns
910 
911    Synopsis:
912    #include <petscmat.h>
913    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
914 
915    Not Collective
916 
917    Input Parameters:
918 +  map - the mapping between local numbering and global numbering
919 .  nrows - the number of rows indicated
920 .  rows - the indices of the rows
921 .  ncols - the number of columns in the matrix
922 .  cols - the columns indicated
923 .  dnz - the array that will be passed to the matrix preallocation routines
924 -  onz - the other array passed to the matrix preallocation routines
925 
926    Level: intermediate
927 
928    Notes:
929     See Users-Manual: ch_performance for more details.
930 
931    Do not malloc or free dnz and onz that is handled internally by these routines
932 
933 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
934           MatPreallocateInitialize(),  MatPreallocateSetLocal()
935 M*/
936 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
937 do {\
938   PetscInt __l;\
939   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
940   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
941   for (__l=0;__l<nrows;__l++) {\
942     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
943   }\
944 } while (0)
945 
946 /*MC
947    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
948        inserted using a local number of the rows and columns
949 
950    Synopsis:
951    #include <petscmat.h>
952    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
953 
954    Not Collective
955 
956    Input Parameters:
957 +  row - the row
958 .  ncols - the number of columns in the matrix
959 -  cols - the columns indicated
960 
961    Output Parameters:
962 +  dnz - the array that will be passed to the matrix preallocation routines
963 -  onz - the other array passed to the matrix preallocation routines
964 
965    Level: intermediate
966 
967    Notes:
968     See Users-Manual: ch_performance for more details.
969 
970    Do not malloc or free dnz and onz that is handled internally by these routines
971 
972    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
973 
974 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
975           MatPreallocateInitialize(), MatPreallocateSetLocal()
976 M*/
977 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
978 do { PetscInt __i; \
979   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);\
980   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);\
981   for (__i=0; __i<nc; __i++) {\
982     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
983     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
984   }\
985 } while (0)
986 
987 /*MC
988    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
989        inserted using a local number of the rows and columns
990 
991    Synopsis:
992    #include <petscmat.h>
993    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
994 
995    Not Collective
996 
997    Input Parameters:
998 +  nrows - the number of rows indicated
999 .  rows - the indices of the rows
1000 .  ncols - the number of columns in the matrix
1001 .  cols - the columns indicated
1002 .  dnz - the array that will be passed to the matrix preallocation routines
1003 -  onz - the other array passed to the matrix preallocation routines
1004 
1005    Level: intermediate
1006 
1007    Notes:
1008     See Users-Manual: ch_performance for more details.
1009 
1010    Do not malloc or free dnz and onz that is handled internally by these routines
1011 
1012    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
1013 
1014 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
1015           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
1016 M*/
1017 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
1018 do { PetscInt __i; \
1019   for (__i=0; __i<nc; __i++) {\
1020     if (cols[__i] >= __end) onz[row - __rstart]++; \
1021     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
1022   }\
1023 } while (0)
1024 
1025 /*MC
1026    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
1027 
1028    Synopsis:
1029    #include <petscmat.h>
1030    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
1031 
1032    Not Collective
1033 
1034    Input Parameters:
1035 +  A - matrix
1036 .  row - row where values exist (must be local to this process)
1037 .  ncols - number of columns
1038 .  cols - columns with nonzeros
1039 .  dnz - the array that will be passed to the matrix preallocation routines
1040 -  onz - the other array passed to the matrix preallocation routines
1041 
1042    Level: intermediate
1043 
1044    Notes:
1045     See Users-Manual: ch_performance for more details.
1046 
1047    Do not malloc or free dnz and onz that is handled internally by these routines
1048 
1049    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1050 
1051 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1052           MatPreallocateSymmetricSetLocalBlock()
1053 M*/
1054 #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)
1055 
1056 
1057 /*MC
1058    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1059        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1060 
1061    Synopsis:
1062    #include <petscmat.h>
1063    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1064 
1065    Collective
1066 
1067    Input Parameters:
1068 +  dnz - the array that was be passed to the matrix preallocation routines
1069 -  onz - the other array passed to the matrix preallocation routines
1070 
1071    Level: intermediate
1072 
1073    Notes:
1074     See Users-Manual: ch_performance for more details.
1075 
1076    Do not malloc or free dnz and onz that is handled internally by these routines
1077 
1078    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1079 
1080 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1081           MatPreallocateSymmetricSetLocalBlock()
1082 M*/
1083 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while (0)
1084 
1085 /* Routines unique to particular data structures */
1086 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1087 
1088 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1089 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1090 
1091 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1092 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1093 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1094 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1095 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1096 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1097 
1098 #define MAT_SKIP_ALLOCATION -4
1099 
1100 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1101 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1102 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1103 PETSC_EXTERN PetscErrorCode MatSeqAIJSetTotalPreallocation(Mat,PetscInt);
1104 
1105 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1106 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1107 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1108 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1109 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1110 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1111 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1112 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1113 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1114 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1115 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1116 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1117 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1118 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1119 
1120 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1121 PETSC_EXTERN PetscErrorCode MatDenseSetLDA(Mat,PetscInt);
1122 PETSC_DEPRECATED_FUNCTION("Use MatDenseSetLDA() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatSeqDenseSetLDA(Mat A,PetscInt lda) {return MatDenseSetLDA(A,lda);}
1123 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1124 
1125 PETSC_EXTERN PetscErrorCode MatBlockMatSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1126 
1127 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1128 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1129 
1130 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1131 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1132 /*
1133   These routines are not usually accessed directly, rather solving is
1134   done through the KSP and PC interfaces.
1135 */
1136 
1137 /*J
1138     MatOrderingType - String with the name of a PETSc matrix ordering
1139 
1140    Level: beginner
1141 
1142    Notes:
1143       If MATORDERINGEXTERNAL is used then PETSc does not compute an ordering and utilizes one built into the factorization package
1144 
1145 .seealso: MatGetOrdering()
1146 J*/
1147 typedef const char* MatOrderingType;
1148 #define MATORDERINGNATURAL        "natural"
1149 #define MATORDERINGND             "nd"
1150 #define MATORDERING1WD            "1wd"
1151 #define MATORDERINGRCM            "rcm"
1152 #define MATORDERINGQMD            "qmd"
1153 #define MATORDERINGROWLENGTH      "rowlength"
1154 #define MATORDERINGWBM            "wbm"
1155 #define MATORDERINGSPECTRAL       "spectral"
1156 #define MATORDERINGAMD            "amd"            /* only works if UMFPACK is installed with PETSc */
1157 #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 */
1158 #define MATORDERINGEXTERNAL       "external"       /* uses an ordering type internal to the factorization package */
1159 
1160 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1161 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1162 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1163 PETSC_EXTERN PetscFunctionList MatOrderingList;
1164 
1165 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1166 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1167 
1168 /*S
1169     MatFactorShiftType - Numeric Shift for factorizations
1170 
1171    Level: beginner
1172 
1173 .seealso: MatGetFactor()
1174 S*/
1175 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1176 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1177 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1178 
1179 /*S
1180     MatFactorError - indicates what type of error was generated in a matrix factorization
1181 
1182     Level: beginner
1183 
1184     Developer Notes:
1185     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1186 
1187 .seealso: MatGetFactor()
1188 S*/
1189 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1190 
1191 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1192 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1193 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1194 
1195 /*S
1196    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1197 
1198    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1199 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1200 
1201    Notes:
1202     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1203 
1204       You can use MatFactorInfoInitialize() to set default values.
1205 
1206    Level: developer
1207 
1208 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1209           MatFactorInfoInitialize()
1210 
1211 S*/
1212 typedef struct {
1213   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1214   PetscReal     usedt;
1215   PetscReal     dt;             /* drop tolerance */
1216   PetscReal     dtcol;          /* tolerance for pivoting */
1217   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1218   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1219   PetscReal     levels;         /* ICC/ILU(levels) */
1220   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1221                                    factorization may be faster if do not pivot */
1222   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1223   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1224   PetscReal     shiftamount;     /* how large the shift is */
1225 } MatFactorInfo;
1226 
1227 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1228 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1229 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1230 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1231 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1232 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1233 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1234 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1235 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1236 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1237 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1238 PETSC_EXTERN PetscErrorCode MatQRFactor(Mat,IS,const MatFactorInfo*);
1239 PETSC_EXTERN PetscErrorCode MatQRFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1240 PETSC_EXTERN PetscErrorCode MatQRFactorNumeric(Mat,Mat,const MatFactorInfo*);
1241 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1242 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1243 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1244 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1245 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1246 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1247 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1248 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1249 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1250 
1251 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1252 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1253 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1254 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1255 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1256 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1257 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1258 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1259 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1260 
1261 /*E
1262     MatSORType - What type of (S)SOR to perform
1263 
1264     Level: beginner
1265 
1266    May be bitwise ORd together
1267 
1268    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1269 
1270    MatSORType may be bitwise ORd together, so do not change the numbers
1271 
1272 .seealso: MatSOR()
1273 E*/
1274 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1275               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1276               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1277               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1278 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1279 
1280 /*
1281     These routines are for efficiently computing Jacobians via finite differences.
1282 */
1283 
1284 /*S
1285      MatColoring - Object for managing the coloring of matrices.
1286 
1287    Level: beginner
1288 
1289     Notes:
1290        Coloring of matrices can be computed directly from the sparse matrix nonzero structure via the MatColoring object or from the mesh from which the
1291        matrix comes from via DMCreateColoring(). In general using the mesh produces a more optimal coloring (fewer colors).
1292 
1293        Once a coloring is available MatFDColoringCreate() creates an object that can be used to efficiently compute Jacobians using that coloring. This
1294        same object can also be used to efficiently convert data created by Automatic Differentation tools to PETSc sparse matrices.
1295 
1296 .seealso:  MatFDColoringCreate(), MatColoringWeightType, ISColoring, MatFDColoring, DMCreateColoring(), MatColoringCreate(), MatOrdering, MatPartitioning
1297 S*/
1298 typedef struct _p_MatColoring* MatColoring;
1299 
1300 /*J
1301     MatColoringType - String with the name of a PETSc matrix coloring
1302 
1303    Level: beginner
1304 
1305 .seealso: MatColoringSetType(), MatColoring
1306 J*/
1307 typedef const  char*           MatColoringType;
1308 #define MATCOLORINGJP      "jp"
1309 #define MATCOLORINGPOWER   "power"
1310 #define MATCOLORINGNATURAL "natural"
1311 #define MATCOLORINGSL      "sl"
1312 #define MATCOLORINGLF      "lf"
1313 #define MATCOLORINGID      "id"
1314 #define MATCOLORINGGREEDY  "greedy"
1315 
1316 /*E
1317    MatColoringWeightType - Type of weight scheme
1318 
1319     Not Collective
1320 
1321 +   MAT_COLORING_RANDOM  - Random weights
1322 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1323 -   MAT_COLORING_LF      - Last-first weighting.
1324 
1325     Level: intermediate
1326 
1327    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1328 
1329 .seealso: MatColoring, MatColoringCreate()
1330 E*/
1331 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1332 
1333 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1334 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1335 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1336 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1337 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1338 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1339 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1340 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1341 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1342 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1343 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1344 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1345 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1346 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1347 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1348 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1349 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1350 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1351 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1352 
1353 /*S
1354      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1355         and coloring
1356 
1357    Level: beginner
1358 
1359    Notes:
1360       This object is creating utilizing a coloring provided by the MatColoring object or DMCreateColoring()
1361 
1362 .seealso:  MatFDColoringCreate(), MatColoring, DMCreateColoring()
1363 S*/
1364 typedef struct _p_MatFDColoring* MatFDColoring;
1365 
1366 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1367 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1368 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1369 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1370 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1371 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1372 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1373 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1374 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1375 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1376 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1377 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1378 PETSC_EXTERN PetscErrorCode MatFDColoringSetValues(Mat,MatFDColoring,const PetscScalar*);
1379 
1380 /*S
1381      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1382 
1383    Level: beginner
1384 
1385 .seealso:  MatTransposeColoringCreate()
1386 S*/
1387 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1388 
1389 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1390 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1391 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1392 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1393 
1394 /*
1395     These routines are for partitioning matrices: currently used only
1396   for adjacency matrix, MatCreateMPIAdj().
1397 */
1398 
1399 /*S
1400      MatPartitioning - Object for managing the partitioning of a matrix or graph
1401 
1402    Level: beginner
1403 
1404    Notes:
1405      There is also a PetscPartitioner object that provides the same functionality. It can utilize the MatPartitioning operations
1406      via PetscPartitionerSetType(p,PETSCPARTITIONERMATPARTITIONING)
1407 
1408    Developers Note:
1409      It is an extra maintainance and documentation cost to have two objects with the same functionality.
1410 
1411 .seealso:  MatPartitioningCreate(), MatPartitioningType, MatColoring, MatGetOrdering()
1412 S*/
1413 typedef struct _p_MatPartitioning* MatPartitioning;
1414 
1415 /*J
1416     MatPartitioningType - String with the name of a PETSc matrix partitioning
1417 
1418    Level: beginner
1419 dm
1420 .seealso: MatPartitioningCreate(), MatPartitioning
1421 J*/
1422 typedef const char* MatPartitioningType;
1423 #define MATPARTITIONINGCURRENT  "current"
1424 #define MATPARTITIONINGAVERAGE   "average"
1425 #define MATPARTITIONINGSQUARE   "square"
1426 #define MATPARTITIONINGPARMETIS "parmetis"
1427 #define MATPARTITIONINGCHACO    "chaco"
1428 #define MATPARTITIONINGPARTY    "party"
1429 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1430 #define MATPARTITIONINGHIERARCH  "hierarch"
1431 
1432 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1433 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1434 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1435 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1436 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1437 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1438 PETSC_EXTERN PetscErrorCode MatPartitioningSetUseEdgeWeights(MatPartitioning,PetscBool);
1439 PETSC_EXTERN PetscErrorCode MatPartitioningGetUseEdgeWeights(MatPartitioning,PetscBool*);
1440 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1441 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1442 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1443 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1444 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1445 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1446 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1447 PETSC_EXTERN PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning,PetscObject,const char[]);
1448 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1449 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1450 
1451 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1452 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1453 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1454 
1455 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1456 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1457 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1458 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1459 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1460 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1461 
1462 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1463 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1464 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1465 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1466 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1467 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1468 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1469 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1470 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1471 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1472 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1473 
1474 #define MP_PARTY_OPT "opt"
1475 #define MP_PARTY_LIN "lin"
1476 #define MP_PARTY_SCA "sca"
1477 #define MP_PARTY_RAN "ran"
1478 #define MP_PARTY_GBF "gbf"
1479 #define MP_PARTY_GCF "gcf"
1480 #define MP_PARTY_BUB "bub"
1481 #define MP_PARTY_DEF "def"
1482 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1483 #define MP_PARTY_HELPFUL_SETS "hs"
1484 #define MP_PARTY_KERNIGHAN_LIN "kl"
1485 #define MP_PARTY_NONE "no"
1486 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1487 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1488 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1489 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1490 
1491 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1492 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1493 
1494 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1495 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1496 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1497 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1498 
1499 /*
1500  * hierarchical partitioning
1501  */
1502 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1503 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1504 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1505 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1506 
1507 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1508 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1509 
1510 /*
1511     If you add entries here you must also add them to include/petscmat.h
1512     and src/mat/f90-mod/petscmat.h
1513 */
1514 typedef enum { MATOP_SET_VALUES=0,
1515                MATOP_GET_ROW=1,
1516                MATOP_RESTORE_ROW=2,
1517                MATOP_MULT=3,
1518                MATOP_MULT_ADD=4,
1519                MATOP_MULT_TRANSPOSE=5,
1520                MATOP_MULT_TRANSPOSE_ADD=6,
1521                MATOP_SOLVE=7,
1522                MATOP_SOLVE_ADD=8,
1523                MATOP_SOLVE_TRANSPOSE=9,
1524                MATOP_SOLVE_TRANSPOSE_ADD=10,
1525                MATOP_LUFACTOR=11,
1526                MATOP_CHOLESKYFACTOR=12,
1527                MATOP_SOR=13,
1528                MATOP_TRANSPOSE=14,
1529                MATOP_GETINFO=15,
1530                MATOP_EQUAL=16,
1531                MATOP_GET_DIAGONAL=17,
1532                MATOP_DIAGONAL_SCALE=18,
1533                MATOP_NORM=19,
1534                MATOP_ASSEMBLY_BEGIN=20,
1535                MATOP_ASSEMBLY_END=21,
1536                MATOP_SET_OPTION=22,
1537                MATOP_ZERO_ENTRIES=23,
1538                MATOP_ZERO_ROWS=24,
1539                MATOP_LUFACTOR_SYMBOLIC=25,
1540                MATOP_LUFACTOR_NUMERIC=26,
1541                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1542                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1543                MATOP_SETUP_PREALLOCATION=29,
1544                MATOP_ILUFACTOR_SYMBOLIC=30,
1545                MATOP_ICCFACTOR_SYMBOLIC=31,
1546                MATOP_GET_DIAGONAL_BLOCK=32,
1547                MATOP_FREE_INTER_STRUCT=33,
1548                MATOP_DUPLICATE=34,
1549                MATOP_FORWARD_SOLVE=35,
1550                MATOP_BACKWARD_SOLVE=36,
1551                MATOP_ILUFACTOR=37,
1552                MATOP_ICCFACTOR=38,
1553                MATOP_AXPY=39,
1554                MATOP_CREATE_SUBMATRICES=40,
1555                MATOP_INCREASE_OVERLAP=41,
1556                MATOP_GET_VALUES=42,
1557                MATOP_COPY=43,
1558                MATOP_GET_ROW_MAX=44,
1559                MATOP_SCALE=45,
1560                MATOP_SHIFT=46,
1561                MATOP_DIAGONAL_SET=47,
1562                MATOP_ZERO_ROWS_COLUMNS=48,
1563                MATOP_SET_RANDOM=49,
1564                MATOP_GET_ROW_IJ=50,
1565                MATOP_RESTORE_ROW_IJ=51,
1566                MATOP_GET_COLUMN_IJ=52,
1567                MATOP_RESTORE_COLUMN_IJ=53,
1568                MATOP_FDCOLORING_CREATE=54,
1569                MATOP_COLORING_PATCH=55,
1570                MATOP_SET_UNFACTORED=56,
1571                MATOP_PERMUTE=57,
1572                MATOP_SET_VALUES_BLOCKED=58,
1573                MATOP_CREATE_SUBMATRIX=59,
1574                MATOP_DESTROY=60,
1575                MATOP_VIEW=61,
1576                MATOP_CONVERT_FROM=62,
1577                MATOP_MATMAT_MULT=63,
1578                MATOP_MATMAT_MULT_SYMBOLIC=64,
1579                MATOP_MATMAT_MULT_NUMERIC=65,
1580                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1581                MATOP_SET_VALUES_LOCAL=67,
1582                MATOP_ZERO_ROWS_LOCAL=68,
1583                MATOP_GET_ROW_MAX_ABS=69,
1584                MATOP_GET_ROW_MIN_ABS=70,
1585                MATOP_CONVERT=71,
1586                MATOP_SET_COLORING=72,
1587                /* MATOP_PLACEHOLDER_73=73, */
1588                MATOP_SET_VALUES_ADIFOR=74,
1589                MATOP_FD_COLORING_APPLY=75,
1590                MATOP_SET_FROM_OPTIONS=76,
1591                MATOP_MULT_CONSTRAINED=77,
1592                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1593                MATOP_FIND_ZERO_DIAGONALS=79,
1594                MATOP_MULT_MULTIPLE=80,
1595                MATOP_SOLVE_MULTIPLE=81,
1596                MATOP_GET_INERTIA=82,
1597                MATOP_LOAD=83,
1598                MATOP_IS_SYMMETRIC=84,
1599                MATOP_IS_HERMITIAN=85,
1600                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1601                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1602                MATOP_CREATE_VECS=88,
1603                MATOP_MAT_MULT=89,
1604                MATOP_MAT_MULT_SYMBOLIC=90,
1605                MATOP_MAT_MULT_NUMERIC=91,
1606                MATOP_PTAP=92,
1607                MATOP_PTAP_SYMBOLIC=93,
1608                MATOP_PTAP_NUMERIC=94,
1609                MATOP_MAT_TRANSPOSE_MULT=95,
1610                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1611                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1612                /* MATOP_PLACEHOLDER_98=98, */
1613                MATOP_PRODUCTSETFROMOPTIONS=99,
1614                MATOP_PRODUCTSYMBOLIC=100,
1615                MATOP_PRODUCTNUMERIC=101,
1616                MATOP_CONJUGATE=102,
1617                /* MATOP_PLACEHOLDER_103=103, */
1618                MATOP_SET_VALUES_ROW=104,
1619                MATOP_REAL_PART=105,
1620                MATOP_IMAGINARY_PART=106,
1621                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1622                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1623                MATOP_MAT_SOLVE=109,
1624                MATOP_MAT_SOLVE_TRANSPOSE=110,
1625                MATOP_GET_ROW_MIN=111,
1626                MATOP_GET_COLUMN_VECTOR=112,
1627                MATOP_MISSING_DIAGONAL=113,
1628                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1629                MATOP_CREATE=115,
1630                MATOP_GET_GHOSTS=116,
1631                MATOP_GET_LOCAL_SUB_MATRIX=117,
1632                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1633                MATOP_MULT_DIAGONAL_BLOCK=119,
1634                MATOP_HERMITIAN_TRANSPOSE=120,
1635                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1636                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1637                MATOP_GET_MULTI_PROC_BLOCK=123,
1638                MATOP_FIND_NONZERO_ROWS=124,
1639                MATOP_GET_COLUMN_NORMS=125,
1640                MATOP_INVERT_BLOCK_DIAGONAL=126,
1641                /* MATOP_PLACEHOLDER_127=127, */
1642                MATOP_CREATE_SUB_MATRICES_MPI=128,
1643                MATOP_SET_VALUES_BATCH=129,
1644                MATOP_TRANSPOSE_MAT_MULT=130,
1645                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1646                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1647                MATOP_TRANSPOSE_COLORING_CREAT=133,
1648                MATOP_TRANS_COLORING_APPLY_SPT=134,
1649                MATOP_TRANS_COLORING_APPLY_DEN=135,
1650                MATOP_RART=136,
1651                MATOP_RART_SYMBOLIC=137,
1652                MATOP_RART_NUMERIC=138,
1653                MATOP_SET_BLOCK_SIZES=139,
1654                MATOP_AYPX=140,
1655                MATOP_RESIDUAL=141,
1656                MATOP_FDCOLORING_SETUP=142,
1657                MATOP_MPICONCATENATESEQ=144,
1658                MATOP_DESTROYSUBMATRICES=145,
1659                MATOP_TRANSPOSE_SOLVE=146,
1660                MATOP_GET_VALUES_LOCAL=147
1661              } MatOperation;
1662 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1663 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1664 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool*);
1665 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool*);
1666 PETSC_DEPRECATED_FUNCTION("Use MatProductClear() (since version 3.14)") PETSC_STATIC_INLINE PetscErrorCode MatFreeIntermediateDataStructures(Mat A) {return MatProductClear(A);}
1667 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1668 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1669 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1670 PETSC_EXTERN PetscErrorCode MatShellSetVecType(Mat,VecType);
1671 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1672 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1673 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1674 PETSC_EXTERN PetscErrorCode MatShellSetMatProductOperation(Mat,MatProductType,PetscErrorCode (*)(Mat,Mat,Mat,void**),PetscErrorCode (*)(Mat,Mat,Mat,void*),PetscErrorCode (*)(void*),MatType,MatType);
1675 PETSC_EXTERN PetscErrorCode MatIsShell(Mat,PetscBool*);
1676 
1677 /*
1678    Codes for matrices stored on disk. By default they are
1679    stored in a universal format. By changing the format with
1680    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1681    be stored in a way natural for the matrix, for example dense matrices
1682    would be stored as dense. Matrices stored this way may only be
1683    read into matrices of the same type.
1684 */
1685 #define MATRIX_BINARY_FORMAT_DENSE -1
1686 
1687 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1688 
1689 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1690 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1691 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1692 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1693 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1694 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1695 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1696 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1697 
1698 /*S
1699      MatNullSpace - Object that removes a null space from a vector, i.e.
1700          orthogonalizes the vector to a subsapce
1701 
1702    Level: advanced
1703 
1704   Users manual sections:
1705 .   sec_singular
1706 
1707 .seealso:  MatNullSpaceCreate()
1708 S*/
1709 typedef struct _p_MatNullSpace* MatNullSpace;
1710 
1711 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1712 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1713 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1714 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1715 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1716 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1717 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1718 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1719 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1720 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1721 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1722 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1723 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1724 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1725 
1726 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1727 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1728 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1729 
1730 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1731 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1732 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1733 
1734 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1735 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1736 
1737 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1738 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1739 
1740 PETSC_EXTERN PetscErrorCode MatCreateKAIJ(Mat,PetscInt,PetscInt,const PetscScalar[],const PetscScalar[],Mat*);
1741 PETSC_EXTERN PetscErrorCode MatKAIJGetAIJ(Mat,Mat*);
1742 PETSC_EXTERN PetscErrorCode MatKAIJGetS(Mat,PetscInt*,PetscInt*,PetscScalar**);
1743 PETSC_EXTERN PetscErrorCode MatKAIJGetSRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1744 PETSC_EXTERN PetscErrorCode MatKAIJRestoreS(Mat,PetscScalar**);
1745 PETSC_EXTERN PetscErrorCode MatKAIJRestoreSRead(Mat,const PetscScalar**);
1746 PETSC_EXTERN PetscErrorCode MatKAIJGetT(Mat,PetscInt*,PetscInt*,PetscScalar**);
1747 PETSC_EXTERN PetscErrorCode MatKAIJGetTRead(Mat,PetscInt*,PetscInt*,const PetscScalar**);
1748 PETSC_EXTERN PetscErrorCode MatKAIJRestoreT(Mat,PetscScalar**);
1749 PETSC_EXTERN PetscErrorCode MatKAIJRestoreTRead(Mat,const PetscScalar**);
1750 PETSC_EXTERN PetscErrorCode MatKAIJSetAIJ(Mat,Mat);
1751 PETSC_EXTERN PetscErrorCode MatKAIJSetS(Mat,PetscInt,PetscInt,const PetscScalar[]);
1752 PETSC_EXTERN PetscErrorCode MatKAIJSetT(Mat,PetscInt,PetscInt,const PetscScalar[]);
1753 PETSC_EXTERN PetscErrorCode MatKAIJGetScaledIdentity(Mat,PetscBool*);
1754 
1755 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1756 
1757 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1758 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1759 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1760 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1761 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1762 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1763 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1764 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1765 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1766 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1767 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1768 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1769 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1770 
1771 /*S
1772     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1773               Jacobian vector products
1774 
1775     Notes:
1776     MATMFFD is a specific MatType which uses the MatMFFD data structure
1777 
1778            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1779 
1780     Level: developer
1781 
1782 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1783 S*/
1784 typedef struct _p_MatMFFD* MatMFFD;
1785 
1786 /*J
1787     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1788 
1789    Level: beginner
1790 
1791 .seealso: MatMFFDSetType(), MatMFFDRegister()
1792 J*/
1793 typedef const char* MatMFFDType;
1794 #define MATMFFD_DS  "ds"
1795 #define MATMFFD_WP  "wp"
1796 
1797 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1798 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1799 
1800 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1801 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool);
1802 
1803 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1804 
1805 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1806 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1807 
1808 #ifdef PETSC_HAVE_HARA
1809 PETSC_EXTERN_TYPEDEF typedef PetscScalar (*MatHaraKernel)(PetscInt,PetscReal[],PetscReal[],void*);
1810 PETSC_EXTERN PetscErrorCode MatCreateHaraFromKernel(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscReal[],MatHaraKernel,void*,PetscReal,PetscInt,PetscInt,Mat*);
1811 PETSC_EXTERN PetscErrorCode MatCreateHaraFromMat(Mat,PetscInt,const PetscReal[],PetscReal,PetscInt,PetscInt,PetscInt,PetscReal,Mat*);
1812 PETSC_EXTERN PetscErrorCode MatHaraSetSamplingMat(Mat,Mat,PetscInt,PetscReal);
1813 #endif
1814 
1815 /*
1816    PETSc interface to MUMPS
1817 */
1818 #ifdef PETSC_HAVE_MUMPS
1819 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1820 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1821 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1822 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1823 
1824 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1825 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1826 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1827 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1828 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1829 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1830 #endif
1831 
1832 /*
1833    PETSc interface to Mkl_Pardiso
1834 */
1835 #ifdef PETSC_HAVE_MKL_PARDISO
1836 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1837 #endif
1838 
1839 /*
1840    PETSc interface to Mkl_CPardiso
1841 */
1842 #ifdef PETSC_HAVE_MKL_CPARDISO
1843 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1844 #endif
1845 
1846 /*
1847    PETSc interface to SUPERLU
1848 */
1849 #ifdef PETSC_HAVE_SUPERLU
1850 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1851 #endif
1852 
1853 /*
1854    PETSc interface to SUPERLU_DIST
1855 */
1856 #ifdef PETSC_HAVE_SUPERLU_DIST
1857 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1858 #endif
1859 
1860 /*
1861    PETSc interface to STRUMPACK
1862 */
1863 #ifdef PETSC_HAVE_STRUMPACK
1864 /*E
1865     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1866 
1867     Level: intermediate
1868 E*/
1869 typedef enum {MAT_STRUMPACK_NATURAL=0,
1870               MAT_STRUMPACK_METIS=1,
1871               MAT_STRUMPACK_PARMETIS=2,
1872               MAT_STRUMPACK_SCOTCH=3,
1873               MAT_STRUMPACK_PTSCOTCH=4,
1874               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1875 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1876 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1877 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1878 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1879 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1880 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1881 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1882 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1883 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1884 #endif
1885 
1886 
1887 PETSC_EXTERN PetscErrorCode MatBindToCPU(Mat,PetscBool);
1888 PETSC_DEPRECATED_FUNCTION("Use MatBindToCPU (since v3.13)") PETSC_STATIC_INLINE PetscErrorCode MatPinToCPU(Mat A,PetscBool flg) {return MatBindToCPU(A,flg);}
1889 
1890 typedef struct _p_SplitCSRMat PetscSplitCSRDataStructure;
1891 
1892 #ifdef PETSC_HAVE_KOKKOS_KERNELS
1893 PETSC_EXTERN PetscErrorCode MatKokkosGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1894 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosSetDeviceMat(Mat, PetscSplitCSRDataStructure *);
1895 PETSC_EXTERN PetscErrorCode MatSeqAIJKokkosGetDeviceMat(Mat, PetscSplitCSRDataStructure **);
1896 #endif
1897 
1898 #ifdef PETSC_HAVE_CUDA
1899 /*E
1900     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1901     matrices.
1902 
1903     Not Collective
1904 
1905 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1906 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1907 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1908 
1909     Level: intermediate
1910 
1911    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1912 
1913 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1914 E*/
1915 
1916 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1917 
1918 /* these will be strings associated with enumerated type defined above */
1919 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1920 
1921 /*E
1922     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1923     matrices whose operation should use a particular storage format.
1924 
1925     Not Collective
1926 
1927 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1928 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1929 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1930 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1931 
1932     Level: intermediate
1933 
1934 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1935 E*/
1936 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1937 
1938 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1939 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1940 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1941 PETSC_EXTERN PetscErrorCode MatSeqAIJCUSPARSESetGenerateTranspose(Mat,PetscBool);
1942 PETSC_EXTERN PetscErrorCode MatAIJCUSPARSESetGenerateTranspose(Mat,PetscBool);
1943 
1944 PETSC_EXTERN PetscErrorCode MatCUSPARSEGetDeviceMatWrite(Mat,PetscSplitCSRDataStructure**);
1945 
1946 PETSC_EXTERN PetscErrorCode MatCreateDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
1947 PETSC_EXTERN PetscErrorCode MatCreateSeqDenseCUDA(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
1948 PETSC_EXTERN PetscErrorCode MatMPIDenseCUDASetPreallocation(Mat,PetscScalar[]);
1949 PETSC_EXTERN PetscErrorCode MatSeqDenseCUDASetPreallocation(Mat,PetscScalar[]);
1950 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayWrite(Mat,PetscScalar**);
1951 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArrayRead(Mat,const PetscScalar**);
1952 PETSC_EXTERN PetscErrorCode MatDenseCUDAGetArray(Mat,PetscScalar**);
1953 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayWrite(Mat,PetscScalar**);
1954 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArrayRead(Mat,const PetscScalar**);
1955 PETSC_EXTERN PetscErrorCode MatDenseCUDARestoreArray(Mat,PetscScalar**);
1956 PETSC_EXTERN PetscErrorCode MatDenseCUDAPlaceArray(Mat,const PetscScalar*);
1957 PETSC_EXTERN PetscErrorCode MatDenseCUDAReplaceArray(Mat,const PetscScalar*);
1958 PETSC_EXTERN PetscErrorCode MatDenseCUDAResetArray(Mat);
1959 
1960 #endif
1961 
1962 #if defined(PETSC_HAVE_VIENNACL)
1963 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1964 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1965 #endif
1966 
1967 /*
1968    PETSc interface to FFTW
1969 */
1970 #if defined(PETSC_HAVE_FFTW)
1971 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1972 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1973 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1974 #endif
1975 
1976 #if defined(PETSC_HAVE_SCALAPACK)
1977 PETSC_EXTERN PetscErrorCode MatCreateScaLAPACK(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1978 PETSC_EXTERN PetscErrorCode MatScaLAPACKSetBlockSizes(Mat,PetscInt,PetscInt);
1979 PETSC_EXTERN PetscErrorCode MatScaLAPACKGetBlockSizes(Mat,PetscInt*,PetscInt*);
1980 #endif
1981 
1982 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1983 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1984 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1985 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1986 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1987 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1988 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1989 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1990 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1991 
1992 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1993 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1994 
1995 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1996 
1997 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1998 
1999 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
2000 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
2001 #endif
2002