xref: /petsc/include/petscmat.h (revision a3b2e22bc9e962507181f2aa20d4b05f54cea8af)
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   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATDAAD            "daad"
64 #define MATMFFD            "mffd"
65 #define MATNORMAL          "normal"
66 #define MATNORMALHERMITIAN "normalh"
67 #define MATLRC             "lrc"
68 #define MATSCATTER         "scatter"
69 #define MATBLOCKMAT        "blockmat"
70 #define MATCOMPOSITE       "composite"
71 #define MATFFT             "fft"
72 #define MATFFTW            "fftw"
73 #define MATSEQCUFFT        "seqcufft"
74 #define MATTRANSPOSEMAT    "transpose"
75 #define MATSCHURCOMPLEMENT "schurcomplement"
76 #define MATPYTHON          "python"
77 #define MATHYPRE           "hypre"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATPREALLOCATOR    "preallocator"
84 #define MATDUMMY           "dummy"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
90 
91    Level: beginner
92 
93 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
94 J*/
95 #define MatSolverPackage char*
96 #define MATSOLVERSUPERLU          "superlu"
97 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
98 #define MATSOLVERSTRUMPACK        "strumpack"
99 #define MATSOLVERUMFPACK          "umfpack"
100 #define MATSOLVERCHOLMOD          "cholmod"
101 #define MATSOLVERKLU              "klu"
102 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
103 #define MATSOLVERELEMENTAL        "elemental"
104 #define MATSOLVERESSL             "essl"
105 #define MATSOLVERLUSOL            "lusol"
106 #define MATSOLVERMUMPS            "mumps"
107 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
109 #define MATSOLVERPASTIX           "pastix"
110 #define MATSOLVERMATLAB           "matlab"
111 #define MATSOLVERPETSC            "petsc"
112 #define MATSOLVERBAS              "bas"
113 #define MATSOLVERCUSPARSE         "cusparse"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 PETSC_EXTERN const char *const MatFactorTypes[];
126 
127 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
131 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
132 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 PETSC_EXTERN PetscClassId MAT_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
143 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
144 
145 /*E
146     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices(), MatGetSubMatrix(), MatConvert() or several other functions
147      are to be reused to store the new matrix values.
148 
149 $  MAT_INITIAL_MATRIX - create a new matrix
150 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
151 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
152 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
157 
158 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
161 
162 /*E
163     MatGetSubMatrixOption - Indicates if matrices obtained from a call to MatGetSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatGetSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
185 
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 
190 /*E
191     MatStructure - Indicates if two matrices have the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
196 
197 .seealso: MatCopy(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 
208 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
214 
215 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
217 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
218 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
220 
221 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 
230 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
231 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
232 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
233 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
234 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
235 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
236 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
237 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
238 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
239 
240 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
242 
243 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
244 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,Mat*);
247 PETSC_EXTERN PetscErrorCode MatSubMatrixUpdate(Mat,Mat,IS,IS);
248 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
249 
250 #if defined(PETSC_HAVE_HYPRE)
251 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
252 #endif
253 
254 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
255 
256 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
257 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
258 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
259 
260 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
261 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
262 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
264 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
265 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
266 
267 /* ------------------------------------------------------------*/
268 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
269 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
274 
275 /*S
276      MatStencil - Data structure (C struct) for storing information about a single row or
277         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
278 
279    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).
280    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.
281 
282    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
283 
284    Fortran usage is different, see MatSetValuesStencil() for details.
285 
286    Level: beginner
287 
288   Concepts: matrix; linear operator
289 
290 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
291 S*/
292 typedef struct {
293   PetscInt k,j,i,c;
294 } MatStencil;
295 
296 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
297 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
299 
300 /*E
301     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
302      to continue to add or insert values to it
303 
304     Level: beginner
305 
306 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
307 E*/
308 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
309 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
310 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
312 
313 
314 
315 /*E
316     MatOption - Options that may be set for a matrix and its behavior or storage
317 
318     Level: beginner
319 
320    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
321 
322    Developer Notes: Entries that are negative need not be called collectively by all processes.
323 
324 .seealso: MatSetOption()
325 E*/
326 typedef enum {MAT_OPTION_MIN = -3,
327               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
328               MAT_ROW_ORIENTED = -1,
329               MAT_SYMMETRIC = 1,
330               MAT_STRUCTURALLY_SYMMETRIC = 2,
331               MAT_NEW_DIAGONALS = 3,
332               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
333               MAT_USE_HASH_TABLE = 5,
334               MAT_KEEP_NONZERO_PATTERN = 6,
335               MAT_IGNORE_ZERO_ENTRIES = 7,
336               MAT_USE_INODES = 8,
337               MAT_HERMITIAN = 9,
338               MAT_SYMMETRY_ETERNAL = 10,
339               MAT_NEW_NONZERO_LOCATION_ERR = 11,
340               MAT_IGNORE_LOWER_TRIANGULAR = 12,
341               MAT_ERROR_LOWER_TRIANGULAR = 13,
342               MAT_GETROW_UPPERTRIANGULAR = 14,
343               MAT_SPD = 15,
344               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
345               MAT_NO_OFF_PROC_ENTRIES = 17,
346               MAT_NEW_NONZERO_LOCATIONS = 18,
347               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
348               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
349               MAT_SUBMAT_SINGLEIS = 21,
350               MAT_OPTION_MAX = 22} MatOption;
351 
352 PETSC_EXTERN const char *MatOptions[];
353 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
354 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
355 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
356 
357 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
358 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
359 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
360 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
361 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
362 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
363 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
364 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
367 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
368 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
369 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
372 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
373 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
374 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
375 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
376 
377 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
378 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
379 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
380 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
381 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
383 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
384 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
387 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
388 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
389 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
390 
391 /*E
392     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
393   its numerical values copied over or just its nonzero structure.
394 
395     Level: beginner
396 
397    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
398 
399 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
400 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
401 $                               have several matrices with the same nonzero pattern.
402 
403 .seealso: MatDuplicate()
404 E*/
405 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
406 
407 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
408 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
409 
410 
411 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
412 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
413 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
414 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
415 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
416 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
417 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
418 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
419 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
420 
421 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
422 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
423 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
424 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
425 
426 /*S
427      MatInfo - Context of matrix information, used with MatGetInfo()
428 
429    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
430 
431    Level: intermediate
432 
433   Concepts: matrix^nonzero information
434 
435 .seealso:  MatGetInfo(), MatInfoType
436 S*/
437 typedef struct {
438   PetscLogDouble block_size;                         /* block size */
439   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
440   PetscLogDouble memory;                             /* memory allocated */
441   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
442   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
443   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
444   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
445 } MatInfo;
446 
447 /*E
448     MatInfoType - Indicates if you want information about the local part of the matrix,
449      the entire parallel matrix or the maximum over all the local parts.
450 
451     Level: beginner
452 
453    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
454 
455 .seealso: MatGetInfo(), MatInfo
456 E*/
457 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
458 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
459 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
460 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
461 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
462 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
463 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
464 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
465 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
466 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
467 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
468 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
469 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
470 
471 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
472 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
473 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
474 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
475 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
476 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
478 
479 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
480 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
481 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
482 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
483 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
484 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
485 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
486 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
487 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
488 
489 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
490 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
491 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
492 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
493 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
494 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
495 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
496 
497 PETSC_EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
498 PETSC_EXTERN PetscErrorCode MatGetSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
499 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
500 PETSC_EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,MatReuse,Mat *);
501 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
502 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
503 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
504 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
505 
506 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
507 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
508 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
509 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
510 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
511 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
512 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
513 
514 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
515 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
516 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
517 
518 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
519 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
520 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
521 
522 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
523 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
524 
525 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
526 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
527 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
528 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
530 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
531 
532 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
533 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
534 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
535 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
537 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
538 
539 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
540 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
541 
542 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
543 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
544 
545 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
546 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
547 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
548 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
549 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
550 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
551 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
552 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
553 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
554 
555 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
556 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
557 
558 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
561 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
562 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
563 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
564 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
565 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
566 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
567 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
568 
569 /*MC
570    MatSetValue - Set a single entry into a matrix.
571 
572    Not collective
573 
574    Synopsis:
575      #include <petscmat.h>
576      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
577 
578    Input Parameters:
579 +  m - the matrix
580 .  row - the row location of the entry
581 .  col - the column location of the entry
582 .  value - the value to insert
583 -  mode - either INSERT_VALUES or ADD_VALUES
584 
585    Notes:
586    For efficiency one should use MatSetValues() and set several or many
587    values simultaneously if possible.
588 
589    Level: beginner
590 
591 .seealso: MatSetValues(), MatSetValueLocal()
592 M*/
593 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
594 
595 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
596 
597 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
598 
599 /*MC
600    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
601        row in a matrix providing the data that one can use to correctly preallocate the matrix.
602 
603    Synopsis:
604    #include <petscmat.h>
605    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
606 
607    Collective on MPI_Comm
608 
609    Input Parameters:
610 +  comm - the communicator that will share the eventually allocated matrix
611 .  nrows - the number of LOCAL rows in the matrix
612 -  ncols - the number of LOCAL columns in the matrix
613 
614    Output Parameters:
615 +  dnz - the array that will be passed to the matrix preallocation routines
616 -  ozn - the other array passed to the matrix preallocation routines
617 
618    Level: intermediate
619 
620    Notes:
621     See Users-Manual: ch_performance for more details.
622 
623    Do not malloc or free dnz and onz, that is handled internally by these routines
624 
625    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
626 
627    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
628 
629   Concepts: preallocation^Matrix
630 
631 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
632           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
633 M*/
634 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
635 { \
636   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
637   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
638   __start = 0; __end = __start;                                         \
639   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
640   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
641 
642 /*MC
643    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
644        inserted using a local number of the rows and columns
645 
646    Synopsis:
647    #include <petscmat.h>
648    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
649 
650    Not Collective
651 
652    Input Parameters:
653 +  map - the row mapping from local numbering to global numbering
654 .  nrows - the number of rows indicated
655 .  rows - the indices of the rows
656 .  cmap - the column mapping from local to global numbering
657 .  ncols - the number of columns in the matrix
658 .  cols - the columns indicated
659 .  dnz - the array that will be passed to the matrix preallocation routines
660 -  ozn - the other array passed to the matrix preallocation routines
661 
662    Level: intermediate
663 
664    Notes:
665     See Users-Manual: ch_performance for more details.
666 
667    Do not malloc or free dnz and onz, that is handled internally by these routines
668 
669   Concepts: preallocation^Matrix
670 
671 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
672           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
673 M*/
674 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
675 {\
676   PetscInt __l;\
677   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
678   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
679   for (__l=0;__l<nrows;__l++) {\
680     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
681   }\
682 }
683 
684 /*MC
685    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
686        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
687 
688    Synopsis:
689    #include <petscmat.h>
690    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
691 
692    Not Collective
693 
694    Input Parameters:
695 +  map - the row mapping from local numbering to global numbering
696 .  nrows - the number of rows indicated
697 .  rows - the indices of the rows (these values are mapped to the global values)
698 .  cmap - the column mapping from local to global numbering
699 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
700 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
701 .  dnz - the array that will be passed to the matrix preallocation routines
702 -  ozn - the other array passed to the matrix preallocation routines
703 
704    Level: intermediate
705 
706    Notes:
707     See Users-Manual: ch_performance for more details.
708 
709    Do not malloc or free dnz and onz, that is handled internally by these routines
710 
711   Concepts: preallocation^Matrix
712 
713 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
714           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
715 M*/
716 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
717 {\
718   PetscInt __l;\
719   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
720   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
721   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
722   for (__l=0;__l<nrows;__l++) {\
723     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
724   }\
725 }
726 
727 /*MC
728    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
729        inserted using a local number of the rows and columns
730 
731    Synopsis:
732    #include <petscmat.h>
733    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
734 
735    Not Collective
736 
737    Input Parameters:
738 +  map - the row mapping from local numbering to global numbering
739 .  nrows - the number of rows indicated
740 .  rows - the indices of the rows
741 .  cmap - the column mapping from local to global numbering
742 .  ncols - the number of columns in the matrix
743 .  cols - the columns indicated
744 .  dnz - the array that will be passed to the matrix preallocation routines
745 -  ozn - the other array passed to the matrix preallocation routines
746 
747    Level: intermediate
748 
749    Notes:
750     See Users-Manual: ch_performance for more details.
751 
752    Do not malloc or free dnz and onz, that is handled internally by these routines
753 
754   Concepts: preallocation^Matrix
755 
756 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
757           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
758 M*/
759 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
760 {\
761   PetscInt __l;\
762   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
763   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
764   for (__l=0;__l<nrows;__l++) {\
765     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
766   }\
767 }
768 
769 /*MC
770    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
771        inserted using a local number of the rows and columns
772 
773    Synopsis:
774    #include <petscmat.h>
775    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
776 
777    Not Collective
778 
779    Input Parameters:
780 +  map - the mapping between local numbering and global numbering
781 .  nrows - the number of rows indicated
782 .  rows - the indices of the rows
783 .  ncols - the number of columns in the matrix
784 .  cols - the columns indicated
785 .  dnz - the array that will be passed to the matrix preallocation routines
786 -  ozn - the other array passed to the matrix preallocation routines
787 
788    Level: intermediate
789 
790    Notes:
791     See Users-Manual: ch_performance for more details.
792 
793    Do not malloc or free dnz and onz that is handled internally by these routines
794 
795   Concepts: preallocation^Matrix
796 
797 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
798           MatPreallocateInitialize(),  MatPreallocateSetLocal()
799 M*/
800 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
801 {\
802   PetscInt __l;\
803   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
804   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
805   for (__l=0;__l<nrows;__l++) {\
806     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
807   }\
808 }
809 /*MC
810    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
811        inserted using a local number of the rows and columns
812 
813    Synopsis:
814    #include <petscmat.h>
815    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
816 
817    Not Collective
818 
819    Input Parameters:
820 +  row - the row
821 .  ncols - the number of columns in the matrix
822 -  cols - the columns indicated
823 
824    Output Parameters:
825 +  dnz - the array that will be passed to the matrix preallocation routines
826 -  ozn - the other array passed to the matrix preallocation routines
827 
828    Level: intermediate
829 
830    Notes:
831     See Users-Manual: ch_performance for more details.
832 
833    Do not malloc or free dnz and onz that is handled internally by these routines
834 
835    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
836 
837   Concepts: preallocation^Matrix
838 
839 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
840           MatPreallocateInitialize(), MatPreallocateSetLocal()
841 M*/
842 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
843 { PetscInt __i; \
844   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);\
845   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);\
846   for (__i=0; __i<nc; __i++) {\
847     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
848     else dnz[row - __rstart]++;\
849   }\
850 }
851 
852 /*MC
853    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
854        inserted using a local number of the rows and columns
855 
856    Synopsis:
857    #include <petscmat.h>
858    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
859 
860    Not Collective
861 
862    Input Parameters:
863 +  nrows - the number of rows indicated
864 .  rows - the indices of the rows
865 .  ncols - the number of columns in the matrix
866 .  cols - the columns indicated
867 .  dnz - the array that will be passed to the matrix preallocation routines
868 -  ozn - the other array passed to the matrix preallocation routines
869 
870    Level: intermediate
871 
872    Notes:
873     See Users-Manual: ch_performance for more details.
874 
875    Do not malloc or free dnz and onz that is handled internally by these routines
876 
877    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
878 
879   Concepts: preallocation^Matrix
880 
881 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
882           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
883 M*/
884 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
885 { PetscInt __i; \
886   for (__i=0; __i<nc; __i++) {\
887     if (cols[__i] >= __end) onz[row - __rstart]++; \
888     else if (cols[__i] >= row) dnz[row - __rstart]++;\
889   }\
890 }
891 
892 /*MC
893    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
894 
895    Synopsis:
896    #include <petscmat.h>
897    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
898 
899    Not Collective
900 
901    Input Parameters:
902 .  A - matrix
903 .  row - row where values exist (must be local to this process)
904 .  ncols - number of columns
905 .  cols - columns with nonzeros
906 .  dnz - the array that will be passed to the matrix preallocation routines
907 -  ozn - the other array passed to the matrix preallocation routines
908 
909    Level: intermediate
910 
911    Notes:
912     See Users-Manual: ch_performance for more details.
913 
914    Do not malloc or free dnz and onz that is handled internally by these routines
915 
916    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
917 
918   Concepts: preallocation^Matrix
919 
920 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
921           MatPreallocateSymmetricSetLocalBlock()
922 M*/
923 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
924 
925 
926 /*MC
927    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
928        row in a matrix providing the data that one can use to correctly preallocate the matrix.
929 
930    Synopsis:
931    #include <petscmat.h>
932    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
933 
934    Collective on MPI_Comm
935 
936    Input Parameters:
937 +  dnz - the array that was be passed to the matrix preallocation routines
938 -  ozn - the other array passed to the matrix preallocation routines
939 
940    Level: intermediate
941 
942    Notes:
943     See Users-Manual: ch_performance for more details.
944 
945    Do not malloc or free dnz and onz that is handled internally by these routines
946 
947    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
948 
949   Concepts: preallocation^Matrix
950 
951 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
952           MatPreallocateSymmetricSetLocalBlock()
953 M*/
954 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
955 
956 /* Routines unique to particular data structures */
957 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
958 
959 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
960 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
961 
962 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
963 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
964 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
965 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
966 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
967 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
968 
969 #define MAT_SKIP_ALLOCATION -4
970 
971 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
972 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
973 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
974 
975 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
976 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
977 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
978 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
979 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
980 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
981 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
982 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
983 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
984 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
985 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
986 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
987 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
988 
989 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
990 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
991 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
992 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
993 
994 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
995 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
996 
997 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
998 
999 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1000 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1001 /*
1002   These routines are not usually accessed directly, rather solving is
1003   done through the KSP and PC interfaces.
1004 */
1005 
1006 /*J
1007     MatOrderingType - String with the name of a PETSc matrix ordering
1008 
1009    Level: beginner
1010 
1011 .seealso: MatGetOrdering()
1012 J*/
1013 typedef const char* MatOrderingType;
1014 #define MATORDERINGNATURAL     "natural"
1015 #define MATORDERINGND          "nd"
1016 #define MATORDERING1WD         "1wd"
1017 #define MATORDERINGRCM         "rcm"
1018 #define MATORDERINGQMD         "qmd"
1019 #define MATORDERINGROWLENGTH   "rowlength"
1020 #define MATORDERINGWBM         "wbm"
1021 #define MATORDERINGSPECTRAL    "spectral"
1022 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1023 
1024 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1025 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1026 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1027 PETSC_EXTERN PetscFunctionList MatOrderingList;
1028 
1029 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1030 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1031 
1032 /*S
1033     MatFactorShiftType - Numeric Shift.
1034 
1035    Level: beginner
1036 
1037 S*/
1038 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1039 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1040 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1041 
1042 /*S
1043     MatFactorError - indicates what type of error in matrix factor
1044 
1045     Level: beginner
1046 
1047     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1048 
1049 .seealso: MatGetFactor()
1050 S*/
1051 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1052 
1053 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1054 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1055 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1056 
1057 /*S
1058    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1059 
1060    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1061 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1062 
1063    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1064 
1065       You can use MatFactorInfoInitialize() to set default values.
1066 
1067    Level: developer
1068 
1069 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1070           MatFactorInfoInitialize()
1071 
1072 S*/
1073 typedef struct {
1074   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1075   PetscReal     usedt;
1076   PetscReal     dt;             /* drop tolerance */
1077   PetscReal     dtcol;          /* tolerance for pivoting */
1078   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1079   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1080   PetscReal     levels;         /* ICC/ILU(levels) */
1081   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1082                                    factorization may be faster if do not pivot */
1083   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1084   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1085   PetscReal     shiftamount;     /* how large the shift is */
1086 } MatFactorInfo;
1087 
1088 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1089 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1090 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1091 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1092 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1093 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1094 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1095 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1096 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1097 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1100 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1101 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1102 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1103 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1104 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1105 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1106 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1107 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1108 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*);
1109 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*);
1110 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1111 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*);
1112 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1113 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1114 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1115 PETSC_EXTERN PetscErrorCode MatFactorSetSchurComplementSolverType(Mat,PetscInt);
1116 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1117 
1118 /*E
1119     MatSORType - What type of (S)SOR to perform
1120 
1121     Level: beginner
1122 
1123    May be bitwise ORd together
1124 
1125    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1126 
1127    MatSORType may be bitwise ORd together, so do not change the numbers
1128 
1129 .seealso: MatSOR()
1130 E*/
1131 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1132               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1133               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1134               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1135 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1136 
1137 /*
1138     These routines are for efficiently computing Jacobians via finite differences.
1139 */
1140 
1141 /*S
1142      MatColoring - Object for managing the coloring of matrices.
1143 
1144    Level: beginner
1145 
1146   Concepts: matrix, coloring
1147 
1148 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1149 S*/
1150 typedef struct _p_MatColoring* MatColoring;
1151 /*J
1152     MatColoringType - String with the name of a PETSc matrix coloring
1153 
1154    Level: beginner
1155 
1156 .seealso: MatColoringSetType(), MatColoring
1157 J*/
1158 
1159 typedef const  char*           MatColoringType;
1160 #define MATCOLORINGJP      "jp"
1161 #define MATCOLORINGPOWER   "power"
1162 #define MATCOLORINGNATURAL "natural"
1163 #define MATCOLORINGSL      "sl"
1164 #define MATCOLORINGLF      "lf"
1165 #define MATCOLORINGID      "id"
1166 #define MATCOLORINGGREEDY  "greedy"
1167 
1168 /*E
1169    MatColoringWeightType - Type of weight scheme
1170 
1171     Not Collective
1172 
1173 +   MAT_COLORING_RANDOM  - Random weights
1174 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1175 -   MAT_COLORING_LF      - Last-first weighting.
1176 
1177     Level: intermediate
1178 
1179    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1180 
1181 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1182 E*/
1183 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1184 
1185 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1186 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1187 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1188 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1189 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1190 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1191 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1192 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1193 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1194 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1195 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1196 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1197 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1198 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1199 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1200 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1201 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1202 
1203 /*S
1204      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1205         and coloring
1206 
1207    Level: beginner
1208 
1209   Concepts: coloring, sparse Jacobian, finite differences
1210 
1211 .seealso:  MatFDColoringCreate()
1212 S*/
1213 typedef struct _p_MatFDColoring* MatFDColoring;
1214 
1215 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1216 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1217 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1218 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1219 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1220 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1221 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1222 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1223 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1224 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1225 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1226 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1227 
1228 
1229 /*S
1230      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1231 
1232    Level: beginner
1233 
1234   Concepts: coloring, sparse matrix product
1235 
1236 .seealso:  MatTransposeColoringCreate()
1237 S*/
1238 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1239 
1240 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1241 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1242 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1243 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1244 
1245 /*
1246     These routines are for partitioning matrices: currently used only
1247   for adjacency matrix, MatCreateMPIAdj().
1248 */
1249 
1250 /*S
1251      MatPartitioning - Object for managing the partitioning of a matrix or graph
1252 
1253    Level: beginner
1254 
1255   Concepts: partitioning
1256 
1257 .seealso:  MatPartitioningCreate(), MatPartitioningType
1258 S*/
1259 typedef struct _p_MatPartitioning* MatPartitioning;
1260 
1261 /*J
1262     MatPartitioningType - String with the name of a PETSc matrix partitioning
1263 
1264    Level: beginner
1265 dm
1266 .seealso: MatPartitioningCreate(), MatPartitioning
1267 J*/
1268 typedef const char* MatPartitioningType;
1269 #define MATPARTITIONINGCURRENT  "current"
1270 #define MATPARTITIONINGAVERAGE   "average"
1271 #define MATPARTITIONINGSQUARE   "square"
1272 #define MATPARTITIONINGPARMETIS "parmetis"
1273 #define MATPARTITIONINGCHACO    "chaco"
1274 #define MATPARTITIONINGPARTY    "party"
1275 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1276 #define MATPARTITIONINGHIERARCH  "hierarch"
1277 
1278 
1279 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1280 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1281 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1282 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1283 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1284 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1285 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1286 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1287 
1288 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1289 
1290 
1291 
1292 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1295 
1296 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1297 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1298 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1299 
1300 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1301 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1302 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1303 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1304 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1305 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1306 
1307 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1309 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1310 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1311 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1312 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1313 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1317 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1318 
1319 #define MP_PARTY_OPT "opt"
1320 #define MP_PARTY_LIN "lin"
1321 #define MP_PARTY_SCA "sca"
1322 #define MP_PARTY_RAN "ran"
1323 #define MP_PARTY_GBF "gbf"
1324 #define MP_PARTY_GCF "gcf"
1325 #define MP_PARTY_BUB "bub"
1326 #define MP_PARTY_DEF "def"
1327 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1328 #define MP_PARTY_HELPFUL_SETS "hs"
1329 #define MP_PARTY_KERNIGHAN_LIN "kl"
1330 #define MP_PARTY_NONE "no"
1331 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1332 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1334 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1335 
1336 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1337 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1338 
1339 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1340 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1343 
1344 /*
1345  * hierarchical partitioning
1346  */
1347 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1351 
1352 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1353 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1354 
1355 /*
1356     If you add entries here you must also add them to petsc/finclude/petscmat.h
1357 */
1358 typedef enum { MATOP_SET_VALUES=0,
1359                MATOP_GET_ROW=1,
1360                MATOP_RESTORE_ROW=2,
1361                MATOP_MULT=3,
1362                MATOP_MULT_ADD=4,
1363                MATOP_MULT_TRANSPOSE=5,
1364                MATOP_MULT_TRANSPOSE_ADD=6,
1365                MATOP_SOLVE=7,
1366                MATOP_SOLVE_ADD=8,
1367                MATOP_SOLVE_TRANSPOSE=9,
1368                MATOP_SOLVE_TRANSPOSE_ADD=10,
1369                MATOP_LUFACTOR=11,
1370                MATOP_CHOLESKYFACTOR=12,
1371                MATOP_SOR=13,
1372                MATOP_TRANSPOSE=14,
1373                MATOP_GETINFO=15,
1374                MATOP_EQUAL=16,
1375                MATOP_GET_DIAGONAL=17,
1376                MATOP_DIAGONAL_SCALE=18,
1377                MATOP_NORM=19,
1378                MATOP_ASSEMBLY_BEGIN=20,
1379                MATOP_ASSEMBLY_END=21,
1380                MATOP_SET_OPTION=22,
1381                MATOP_ZERO_ENTRIES=23,
1382                MATOP_ZERO_ROWS=24,
1383                MATOP_LUFACTOR_SYMBOLIC=25,
1384                MATOP_LUFACTOR_NUMERIC=26,
1385                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1386                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1387                MATOP_SETUP_PREALLOCATION=29,
1388                MATOP_ILUFACTOR_SYMBOLIC=30,
1389                MATOP_ICCFACTOR_SYMBOLIC=31,
1390                MATOP_GET_DIAGONAL_BLOCK=32,
1391                /* MATOP_PLACEHOLDER_33=33, */
1392                MATOP_DUPLICATE=34,
1393                MATOP_FORWARD_SOLVE=35,
1394                MATOP_BACKWARD_SOLVE=36,
1395                MATOP_ILUFACTOR=37,
1396                MATOP_ICCFACTOR=38,
1397                MATOP_AXPY=39,
1398                MATOP_GET_SUBMATRICES=40,
1399                MATOP_INCREASE_OVERLAP=41,
1400                MATOP_GET_VALUES=42,
1401                MATOP_COPY=43,
1402                MATOP_GET_ROW_MAX=44,
1403                MATOP_SCALE=45,
1404                MATOP_SHIFT=46,
1405                MATOP_DIAGONAL_SET=47,
1406                MATOP_ZERO_ROWS_COLUMNS=48,
1407                MATOP_SET_RANDOM=49,
1408                MATOP_GET_ROW_IJ=50,
1409                MATOP_RESTORE_ROW_IJ=51,
1410                MATOP_GET_COLUMN_IJ=52,
1411                MATOP_RESTORE_COLUMN_IJ=53,
1412                MATOP_FDCOLORING_CREATE=54,
1413                MATOP_COLORING_PATCH=55,
1414                MATOP_SET_UNFACTORED=56,
1415                MATOP_PERMUTE=57,
1416                MATOP_SET_VALUES_BLOCKED=58,
1417                MATOP_GET_SUBMATRIX=59,
1418                MATOP_DESTROY=60,
1419                MATOP_VIEW=61,
1420                MATOP_CONVERT_FROM=62,
1421                MATOP_MATMAT_MULT=63,
1422                MATOP_MATMAT_MULT_SYMBOLIC=64,
1423                MATOP_MATMAT_MULT_NUMERIC=65,
1424                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1425                MATOP_SET_VALUES_LOCAL=67,
1426                MATOP_ZERO_ROWS_LOCAL=68,
1427                MATOP_GET_ROW_MAX_ABS=69,
1428                MATOP_GET_ROW_MIN_ABS=70,
1429                MATOP_CONVERT=71,
1430                MATOP_SET_COLORING=72,
1431                /* MATOP_PLACEHOLDER_73=73, */
1432                MATOP_SET_VALUES_ADIFOR=74,
1433                MATOP_FD_COLORING_APPLY=75,
1434                MATOP_SET_FROM_OPTIONS=76,
1435                MATOP_MULT_CONSTRAINED=77,
1436                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1437                MATOP_FIND_ZERO_DIAGONALS=79,
1438                MATOP_MULT_MULTIPLE=80,
1439                MATOP_SOLVE_MULTIPLE=81,
1440                MATOP_GET_INERTIA=82,
1441                MATOP_LOAD=83,
1442                MATOP_IS_SYMMETRIC=84,
1443                MATOP_IS_HERMITIAN=85,
1444                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1445                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1446                MATOP_GET_VECS=88,
1447                MATOP_MAT_MULT=89,
1448                MATOP_MAT_MULT_SYMBOLIC=90,
1449                MATOP_MAT_MULT_NUMERIC=91,
1450                MATOP_PTAP=92,
1451                MATOP_PTAP_SYMBOLIC=93,
1452                MATOP_PTAP_NUMERIC=94,
1453                MATOP_MAT_TRANSPOSE_MULT=95,
1454                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1455                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1456                /* MATOP_PLACEHOLDER_98=98, */
1457                /* MATOP_PLACEHOLDER_99=99, */
1458                /* MATOP_PLACEHOLDER_100=100, */
1459                /* MATOP_PLACEHOLDER_101=101, */
1460                MATOP_CONJUGATE=102,
1461                /* MATOP_PLACEHOLDER_103=103, */
1462                MATOP_SET_VALUES_ROW=104,
1463                MATOP_REAL_PART=105,
1464                MATOP_IMAGINARY_PART=106,
1465                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1466                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1467                MATOP_MAT_SOLVE=109,
1468                MATOP_GET_REDUNDANT_MATRIX=110,
1469                MATOP_GET_ROW_MIN=111,
1470                MATOP_GET_COLUMN_VECTOR=112,
1471                MATOP_MISSING_DIAGONAL=113,
1472                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1473                MATOP_CREATE=115,
1474                MATOP_GET_GHOSTS=116,
1475                MATOP_GET_LOCAL_SUB_MATRIX=117,
1476                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1477                MATOP_MULT_DIAGONAL_BLOCK=119,
1478                MATOP_HERMITIAN_TRANSPOSE=120,
1479                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1480                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1481                MATOP_GET_MULTI_PROC_BLOCK=123,
1482                MATOP_FIND_NONZERO_ROWS=124,
1483                MATOP_GET_COLUMN_NORMS=125,
1484                MATOP_INVERT_BLOCK_DIAGONAL=126,
1485                /* MATOP_PLACEHOLDER_127=127, */
1486                MATOP_GET_SUB_MATRICES_PARALLE=128,
1487                MATOP_SET_VALUES_BATCH=129,
1488                MATOP_TRANSPOSE_MAT_MULT=130,
1489                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1490                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1491                MATOP_TRANSPOSE_COLORING_CREAT=133,
1492                MATOP_TRANS_COLORING_APPLY_SPT=134,
1493                MATOP_TRANS_COLORING_APPLY_DEN=135,
1494                MATOP_RART=136,
1495                MATOP_RART_SYMBOLIC=137,
1496                MATOP_RART_NUMERIC=138,
1497                MATOP_SET_BLOCK_SIZES=139,
1498                MATOP_AYPX=140,
1499                MATOP_RESIDUAL=141,
1500                MATOP_FDCOLORING_SETUP=142,
1501                MATOP_MPICONCATENATESEQ=144
1502              } MatOperation;
1503 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1504 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1505 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1506 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1507 
1508 /*
1509    Codes for matrices stored on disk. By default they are
1510    stored in a universal format. By changing the format with
1511    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1512    be stored in a way natural for the matrix, for example dense matrices
1513    would be stored as dense. Matrices stored this way may only be
1514    read into matrices of the same type.
1515 */
1516 #define MATRIX_BINARY_FORMAT_DENSE -1
1517 
1518 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1519 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1520 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1521 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1522 
1523 /*S
1524      MatNullSpace - Object that removes a null space from a vector, i.e.
1525          orthogonalizes the vector to a subsapce
1526 
1527    Level: advanced
1528 
1529   Concepts: matrix; linear operator, null space
1530 
1531   Users manual sections:
1532 .   sec_singular
1533 
1534 .seealso:  MatNullSpaceCreate()
1535 S*/
1536 typedef struct _p_MatNullSpace* MatNullSpace;
1537 
1538 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1539 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1540 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1541 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1542 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1543 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1544 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1545 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1546 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1547 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1548 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1549 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1552 
1553 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1554 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1555 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1556 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1557 
1558 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1559 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1560 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1561 
1562 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1563 
1564 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1565 
1566 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1567 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1568 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1569 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1570 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1571 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1572 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1573 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1574 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1575 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1576 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1577 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1578 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1579 
1580 /*S
1581     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1582               Jacobian vector products
1583 
1584     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1585 
1586            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1587 
1588     Level: developer
1589 
1590 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1591 S*/
1592 typedef struct _p_MatMFFD* MatMFFD;
1593 
1594 /*J
1595     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1596 
1597    Level: beginner
1598 
1599 .seealso: MatMFFDSetType(), MatMFFDRegister()
1600 J*/
1601 typedef const char* MatMFFDType;
1602 #define MATMFFD_DS  "ds"
1603 #define MATMFFD_WP  "wp"
1604 
1605 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1606 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1607 
1608 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1609 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1610 
1611 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1612 
1613 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1614 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1615 
1616 /*
1617    PETSc interface to MUMPS
1618 */
1619 #ifdef PETSC_HAVE_MUMPS
1620 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1621 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1622 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1623 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1624 
1625 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1626 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1627 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1628 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1629 #endif
1630 
1631 /*
1632    PETSc interface to Mkl_Pardiso
1633 */
1634 #ifdef PETSC_HAVE_MKL_PARDISO
1635 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1636 #endif
1637 
1638 /*
1639    PETSc interface to Mkl_CPardiso
1640 */
1641 #ifdef PETSC_HAVE_MKL_CPARDISO
1642 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1643 #endif
1644 
1645 /*
1646    PETSc interface to SUPERLU
1647 */
1648 #ifdef PETSC_HAVE_SUPERLU
1649 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1650 #endif
1651 
1652 /*
1653    PETSc interface to SUPERLU_DIST
1654 */
1655 #ifdef PETSC_HAVE_SUPERLU_DIST
1656 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1657 #endif
1658 
1659 /*
1660    PETSc interface to STRUMPACK
1661 */
1662 #ifdef PETSC_HAVE_STRUMPACK
1663 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1664 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1665 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1666 #endif
1667 
1668 
1669 #ifdef PETSC_HAVE_CUDA
1670 /*E
1671     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1672     matrices.
1673 
1674     Not Collective
1675 
1676 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1677 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1678 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1679 
1680     Level: intermediate
1681 
1682    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1683 
1684 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1685 E*/
1686 
1687 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1688 
1689 /* these will be strings associated with enumerated type defined above */
1690 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1691 
1692 /*E
1693     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1694     matrices whose operation should use a particular storage format.
1695 
1696     Not Collective
1697 
1698 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1699 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1700 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1701 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1702 
1703     Level: intermediate
1704 
1705 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1706 E*/
1707 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1708 
1709 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1710 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1711 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1712 #endif
1713 
1714 #if defined(PETSC_HAVE_CUSP)
1715 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1716 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1717 
1718 /*E
1719     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1720     matrices.
1721 
1722     Not Collective
1723 
1724 +   MAT_CUSP_CSR - Compressed Sparse Row
1725 .   MAT_CUSP_DIA - Diagonal
1726 -   MAT_CUSP_ELL - Ellpack
1727 
1728     Level: intermediate
1729 
1730    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1731 
1732 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1733 E*/
1734 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1735 
1736 /* these will be strings associated with enumerated type defined above */
1737 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1738 
1739 /*E
1740     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1741     matrices whose operation should use a particular storage format.
1742 
1743     Not Collective
1744 
1745 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1746 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1747 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1748 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1749 
1750     Level: intermediate
1751 
1752    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1753 
1754 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1755 E*/
1756 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1757 
1758 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1759 #endif
1760 
1761 #if defined(PETSC_HAVE_VIENNACL)
1762 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1763 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1764 #endif
1765 
1766 /*
1767    PETSc interface to FFTW
1768 */
1769 #if defined(PETSC_HAVE_FFTW)
1770 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1771 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1772 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1773 #endif
1774 
1775 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1776 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1777 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1778 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1779 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1780 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1781 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1782 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1783 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1784 
1785 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1786 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1787 
1788 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1789 
1790 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1791 
1792 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1793 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1794 
1795 #endif
1796