xref: /petsc/include/petscmat.h (revision e005ede52eafe2fed2813abb7a7eb3df04d5f886)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include "petscvec.h"
7 PETSC_EXTERN_CXX_BEGIN
8 
9 /*S
10      Mat - Abstract PETSc matrix object
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*E
21     MatType - String with the name of a PETSc matrix or the creation function
22        with an optional dynamic library name, for example
23        http://www.mcs.anl.gov/petsc/lib.a:mymatcreate()
24 
25    Level: beginner
26 
27 .seealso: MatSetType(), Mat
28 E*/
29 #define MATSAME            "same"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATMAIJ            "maij"
33 #define MATIS              "is"
34 #define MATMPIROWBS        "mpirowbs"
35 #define MATSEQAIJ          "seqaij"
36 #define MATMPIAIJ          "mpiaij"
37 #define MATAIJ             "aij"
38 #define MATSHELL           "shell"
39 #define MATSEQBDIAG        "seqbdiag"
40 #define MATMPIBDIAG        "mpibdiag"
41 #define MATBDIAG           "bdiag"
42 #define MATSEQDENSE        "seqdense"
43 #define MATMPIDENSE        "mpidense"
44 #define MATDENSE           "dense"
45 #define MATSEQBAIJ         "seqbaij"
46 #define MATMPIBAIJ         "mpibaij"
47 #define MATBAIJ            "baij"
48 #define MATMPIADJ          "mpiadj"
49 #define MATSEQSBAIJ        "seqsbaij"
50 #define MATMPISBAIJ        "mpisbaij"
51 #define MATSBAIJ           "sbaij"
52 #define MATDAAD            "daad"
53 #define MATMFFD            "mffd"
54 #define MATESI             "esi"
55 #define MATPETSCESI        "petscesi"
56 #define MATNORMAL          "normal"
57 #define MATSEQAIJSPOOLES   "seqaijspooles"
58 #define MATMPIAIJSPOOLES   "mpiaijspooles"
59 #define MATSEQSBAIJSPOOLES "seqsbaijspooles"
60 #define MATMPISBAIJSPOOLES "mpisbaijspooles"
61 #define MATAIJSPOOLES      "aijspooles"
62 #define MATSBAIJSPOOLES    "sbaijspooles"
63 #define MATSUPERLU         "superlu"
64 #define MATSUPERLU_DIST    "superlu_dist"
65 #define MATUMFPACK         "umfpack"
66 #define MATESSL            "essl"
67 #define MATLUSOL           "lusol"
68 #define MATAIJMUMPS        "aijmumps"
69 #define MATSBAIJMUMPS      "sbaijmumps"
70 #define MATDSCPACK         "dscpack"
71 #define MATMATLAB          "matlab"
72 #define MatType char*
73 
74 /* Logging support */
75 #define    MAT_FILE_COOKIE 1211216    /* used to indicate matrices in binary files */
76 extern PetscCookie MAT_COOKIE, MATSNESMFCTX_COOKIE, MAT_FDCOLORING_COOKIE, MAT_PARTITIONING_COOKIE, MAT_NULLSPACE_COOKIE;
77 extern PetscEvent  MAT_Mult, MAT_MultMatrixFree, MAT_Mults, MAT_MultConstrained, MAT_MultAdd, MAT_MultTranspose;
78 extern PetscEvent  MAT_MultTransposeConstrained, MAT_MultTransposeAdd, MAT_Solve, MAT_Solves, MAT_SolveAdd, MAT_SolveTranspose;
79 extern PetscEvent  MAT_SolveTransposeAdd, MAT_Relax, MAT_ForwardSolve, MAT_BackwardSolve, MAT_LUFactor, MAT_LUFactorSymbolic;
80 extern PetscEvent  MAT_LUFactorNumeric, MAT_CholeskyFactor, MAT_CholeskyFactorSymbolic, MAT_CholeskyFactorNumeric, MAT_ILUFactor;
81 extern PetscEvent  MAT_ILUFactorSymbolic, MAT_ICCFactorSymbolic, MAT_Copy, MAT_Convert, MAT_Scale, MAT_AssemblyBegin;
82 extern PetscEvent  MAT_AssemblyEnd, MAT_SetValues, MAT_GetValues, MAT_GetRow, MAT_GetSubMatrices, MAT_GetColoring, MAT_GetOrdering;
83 extern PetscEvent  MAT_IncreaseOverlap, MAT_Partitioning, MAT_ZeroEntries, MAT_Load, MAT_View, MAT_AXPY, MAT_FDColoringCreate;
84 extern PetscEvent  MAT_FDColoringApply, MAT_Transpose, MAT_FDColoringFunction;
85 extern PetscEvent  MAT_MatMult, MAT_MatMultSymbolic, MAT_MatMultNumeric;
86 extern PetscEvent  MAT_PtAP, MAT_PtAPSymbolic, MAT_PtAPNumeric;
87 extern PetscEvent  MAT_MatMultTranspose, MAT_MatMultTransposeSymbolic, MAT_MatMultTransposeNumeric;
88 
89 EXTERN PetscErrorCode MatInitializePackage(char *);
90 
91 EXTERN PetscErrorCode MatCreate(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
92 EXTERN PetscErrorCode MatSetType(Mat,const MatType);
93 EXTERN PetscErrorCode MatSetFromOptions(Mat);
94 EXTERN PetscErrorCode MatSetUpPreallocation(Mat);
95 EXTERN PetscErrorCode MatRegisterAll(const char[]);
96 EXTERN PetscErrorCode MatRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat));
97 
98 /*MC
99    MatRegisterDynamic - Adds a new matrix type
100 
101    Synopsis:
102    PetscErrorCode MatRegisterDynamic(char *name,char *path,char *name_create,PetscErrorCode (*routine_create)(Mat))
103 
104    Not Collective
105 
106    Input Parameters:
107 +  name - name of a new user-defined matrix type
108 .  path - path (either absolute or relative) the library containing this solver
109 .  name_create - name of routine to create method context
110 -  routine_create - routine to create method context
111 
112    Notes:
113    MatRegisterDynamic() may be called multiple times to add several user-defined solvers.
114 
115    If dynamic libraries are used, then the fourth input argument (routine_create)
116    is ignored.
117 
118    Sample usage:
119 .vb
120    MatRegisterDynamic("my_mat",/home/username/my_lib/lib/libO/solaris/mylib.a,
121                "MyMatCreate",MyMatCreate);
122 .ve
123 
124    Then, your solver can be chosen with the procedural interface via
125 $     MatSetType(Mat,"my_mat")
126    or at runtime via the option
127 $     -mat_type my_mat
128 
129    Level: advanced
130 
131    Notes: ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
132          If your function is not being put into a shared library then use VecRegister() instead
133 
134 .keywords: Mat, register
135 
136 .seealso: MatRegisterAll(), MatRegisterDestroy()
137 
138 M*/
139 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
140 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,0)
141 #else
142 #define MatRegisterDynamic(a,b,c,d) MatRegister(a,b,c,d)
143 #endif
144 
145 extern PetscTruth MatRegisterAllCalled;
146 extern PetscFList MatList;
147 
148 EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
149 EXTERN PetscErrorCode MatCreateMPIDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
150 EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
151 EXTERN PetscErrorCode MatCreateMPIAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
152 EXTERN PetscErrorCode MatCreateMPIRowbs(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
153 EXTERN PetscErrorCode MatCreateSeqBDiag(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscScalar*[],Mat*);
154 EXTERN PetscErrorCode MatCreateMPIBDiag(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscScalar*[],Mat*);
155 EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
156 EXTERN PetscErrorCode MatCreateMPIBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
157 EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
158 EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
159 EXTERN PetscErrorCode MatCreateMPISBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
160 EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
161 EXTERN PetscErrorCode MatCreateAdic(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,void (*)(void),Mat*);
162 EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
163 EXTERN PetscErrorCode MatDestroy(Mat);
164 
165 EXTERN PetscErrorCode MatPrintHelp(Mat);
166 EXTERN PetscErrorCode MatGetPetscMaps(Mat,PetscMap*,PetscMap*);
167 
168 /* ------------------------------------------------------------*/
169 EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
170 EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
171 
172 /*S
173      MatStencil - Data structure (C struct) for storing information about a single row or
174         column of a matrix as index on an associated grid.
175 
176    Level: beginner
177 
178   Concepts: matrix; linear operator
179 
180 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockStencil()
181 S*/
182 typedef struct {
183   PetscInt k,j,i,c;
184 } MatStencil;
185 
186 EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
187 EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
188 EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
189 
190 EXTERN PetscErrorCode MatSetColoring(Mat,ISColoring);
191 EXTERN PetscErrorCode MatSetValuesAdic(Mat,void*);
192 EXTERN PetscErrorCode MatSetValuesAdifor(Mat,PetscInt,void*);
193 
194 /*E
195     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
196      to continue to add values to it
197 
198     Level: beginner
199 
200 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
201 E*/
202 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
203 EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
204 EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
205 EXTERN PetscErrorCode MatAssembled(Mat,PetscTruth*);
206 
207 extern PetscInt    MatSetValue_Row, MatSetValue_Column;
208 extern PetscScalar MatSetValue_Value;
209 
210 /*MC
211    MatSetValue - Set a single entry into a matrix.
212 
213    Synopsis:
214    PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode);
215 
216    Not collective
217 
218    Input Parameters:
219 +  m - the matrix
220 .  row - the row location of the entry
221 .  col - the column location of the entry
222 .  value - the value to insert
223 -  mode - either INSERT_VALUES or ADD_VALUES
224 
225    Notes:
226    For efficiency one should use MatSetValues() and set several or many
227    values simultaneously if possible.
228 
229    Level: beginner
230 
231 .seealso: MatSetValues(), MatSetValueLocal()
232 M*/
233 #define MatSetValue(v,i,j,va,mode) \
234   (MatSetValue_Row = i,MatSetValue_Column = j,MatSetValue_Value = va, \
235    MatSetValues(v,1,&MatSetValue_Row,1,&MatSetValue_Column,&MatSetValue_Value,mode))
236 
237 #define MatGetValue(v,i,j,va) \
238   (MatSetValue_Row = i,MatSetValue_Column = j,\
239    MatGetValues(v,1,&MatSetValue_Row,1,&MatSetValue_Column,&va))
240 
241 #define MatSetValueLocal(v,i,j,va,mode) \
242   (MatSetValue_Row = i,MatSetValue_Column = j,MatSetValue_Value = va, \
243    MatSetValuesLocal(v,1,&MatSetValue_Row,1,&MatSetValue_Column,&MatSetValue_Value,mode))
244 
245 /*E
246     MatOption - Options that may be set for a matrix and its behavior or storage
247 
248     Level: beginner
249 
250    Any additions/changes here MUST also be made in include/finclude/petscmat.h
251 
252 .seealso: MatSetOption()
253 E*/
254 typedef enum {MAT_ROW_ORIENTED=1,MAT_COLUMN_ORIENTED=2,MAT_ROWS_SORTED=4,
255               MAT_COLUMNS_SORTED=8,MAT_NO_NEW_NONZERO_LOCATIONS=16,
256               MAT_YES_NEW_NONZERO_LOCATIONS=32,MAT_SYMMETRIC=64,
257               MAT_STRUCTURALLY_SYMMETRIC=65,MAT_NO_NEW_DIAGONALS=66,
258               MAT_YES_NEW_DIAGONALS=67,MAT_INODE_LIMIT_1=68,MAT_INODE_LIMIT_2=69,
259               MAT_INODE_LIMIT_3=70,MAT_INODE_LIMIT_4=71,MAT_INODE_LIMIT_5=72,
260               MAT_IGNORE_OFF_PROC_ENTRIES=73,MAT_ROWS_UNSORTED=74,
261               MAT_COLUMNS_UNSORTED=75,MAT_NEW_NONZERO_LOCATION_ERR=76,
262               MAT_NEW_NONZERO_ALLOCATION_ERR=77,MAT_USE_HASH_TABLE=78,
263               MAT_KEEP_ZEROED_ROWS=79,MAT_IGNORE_ZERO_ENTRIES=80,MAT_USE_INODES=81,
264               MAT_DO_NOT_USE_INODES=82,MAT_NOT_SYMMETRIC=83,MAT_HERMITIAN=84,
265               MAT_NOT_STRUCTURALLY_SYMMETRIC=85,MAT_NOT_HERMITIAN=86,
266               MAT_SYMMETRY_ETERNAL=87,MAT_NOT_SYMMETRY_ETERNAL=88} MatOption;
267 EXTERN PetscErrorCode MatSetOption(Mat,MatOption);
268 EXTERN PetscErrorCode MatGetType(Mat,MatType*);
269 
270 EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
271 EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
272 EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
273 EXTERN PetscErrorCode MatGetColumn(Mat,PetscInt,PetscInt *,PetscInt *[],PetscScalar*[]);
274 EXTERN PetscErrorCode MatRestoreColumn(Mat,PetscInt,PetscInt *,PetscInt *[],PetscScalar*[]);
275 EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
276 EXTERN PetscErrorCode MatGetArray(Mat,PetscScalar *[]);
277 EXTERN PetscErrorCode MatRestoreArray(Mat,PetscScalar *[]);
278 EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
279 
280 EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
281 EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
282 EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
283 EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscTruth*);
284 EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
285 EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
286 EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
287 
288 /*E
289     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
290   its numerical values copied over or just its nonzero structure.
291 
292     Level: beginner
293 
294    Any additions/changes here MUST also be made in include/finclude/petscmat.h
295 
296 .seealso: MatDuplicate()
297 E*/
298 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES} MatDuplicateOption;
299 
300 EXTERN PetscErrorCode MatConvertRegister(const char[],const char[],const char[],PetscErrorCode (*)(Mat,MatType,Mat*));
301 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
302 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,0)
303 #else
304 #define MatConvertRegisterDynamic(a,b,c,d) MatConvertRegister(a,b,c,d)
305 #endif
306 EXTERN PetscErrorCode        MatConvertRegisterAll(const char[]);
307 EXTERN PetscErrorCode        MatConvertRegisterDestroy(void);
308 extern PetscTruth MatConvertRegisterAllCalled;
309 extern PetscFList MatConvertList;
310 EXTERN PetscErrorCode        MatConvert(Mat,const MatType,Mat*);
311 EXTERN PetscErrorCode        MatDuplicate(Mat,MatDuplicateOption,Mat*);
312 
313 /*E
314     MatStructure - Indicates if the matrix has the same nonzero structure
315 
316     Level: beginner
317 
318    Any additions/changes here MUST also be made in include/finclude/petscmat.h
319 
320 .seealso: MatCopy(), KSPSetOperators(), PCSetOperators()
321 E*/
322 typedef enum {SAME_NONZERO_PATTERN,DIFFERENT_NONZERO_PATTERN,SAME_PRECONDITIONER,SUBSET_NONZERO_PATTERN} MatStructure;
323 
324 EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
325 EXTERN PetscErrorCode MatView(Mat,PetscViewer);
326 EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscTruth*);
327 EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscTruth*,PetscTruth*);
328 EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscTruth*,PetscTruth*);
329 EXTERN PetscErrorCode MatLoad(PetscViewer,const MatType,Mat*);
330 
331 EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
332 EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
333 EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscTruth,PetscInt*,PetscInt *[],PetscInt *[],PetscTruth *);
334 EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscTruth,PetscInt *,PetscInt *[],PetscInt *[],PetscTruth *);
335 
336 /*S
337      MatInfo - Context of matrix information, used with MatGetInfo()
338 
339    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
340 
341    Level: intermediate
342 
343   Concepts: matrix^nonzero information
344 
345 .seealso:  MatGetInfo(), MatInfoType
346 S*/
347 typedef struct {
348   PetscLogDouble rows_global,columns_global;         /* number of global rows and columns */
349   PetscLogDouble rows_local,columns_local;           /* number of local rows and columns */
350   PetscLogDouble block_size;                         /* block size */
351   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
352   PetscLogDouble memory;                             /* memory allocated */
353   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
354   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
355   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
356   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
357 } MatInfo;
358 
359 /*E
360     MatInfoType - Indicates if you want information about the local part of the matrix,
361      the entire parallel matrix or the maximum over all the local parts.
362 
363     Level: beginner
364 
365    Any additions/changes here MUST also be made in include/finclude/petscmat.h
366 
367 .seealso: MatGetInfo(), MatInfo
368 E*/
369 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
370 EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
371 EXTERN PetscErrorCode MatValid(Mat,PetscTruth*);
372 EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
373 EXTERN PetscErrorCode MatGetRowMax(Mat,Vec);
374 EXTERN PetscErrorCode MatTranspose(Mat,Mat*);
375 EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat *);
376 EXTERN PetscErrorCode MatPermuteSparsify(Mat,PetscInt,PetscReal,PetscReal,IS,IS,Mat *);
377 EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
378 EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
379 EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscTruth*);
380 
381 EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal *);
382 EXTERN PetscErrorCode MatZeroEntries(Mat);
383 EXTERN PetscErrorCode MatZeroRows(Mat,IS,const PetscScalar*);
384 EXTERN PetscErrorCode MatZeroColumns(Mat,IS,const PetscScalar*);
385 
386 EXTERN PetscErrorCode MatUseScaledForm(Mat,PetscTruth);
387 EXTERN PetscErrorCode MatScaleSystem(Mat,Vec,Vec);
388 EXTERN PetscErrorCode MatUnScaleSystem(Mat,Vec,Vec);
389 
390 EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
391 EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
392 EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
393 
394 /*E
395     MatReuse - Indicates if matrices obtained from a previous call to MatGetSubMatrices()
396      or MatGetSubMatrix() are to be reused to store the new matrix values.
397 
398     Level: beginner
399 
400    Any additions/changes here MUST also be made in include/finclude/petscmat.h
401 
402 .seealso: MatGetSubMatrices(), MatGetSubMatrix(), MatDestroyMatrices()
403 E*/
404 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX} MatReuse;
405 EXTERN PetscErrorCode MatGetSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
406 EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
407 EXTERN PetscErrorCode MatGetSubMatrix(Mat,IS,IS,PetscInt,MatReuse,Mat *);
408 EXTERN PetscErrorCode MatMerge(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
409 EXTERN PetscErrorCode MatMerge_SeqsToMPI(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
410 EXTERN PetscErrorCode MatMerge_SeqsToMPISymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
411 EXTERN PetscErrorCode MatMerge_SeqsToMPINumeric(Mat,Mat);
412 EXTERN PetscErrorCode MatGetLocalMat(Mat,MatReuse,IS*,IS*,Mat*);
413 EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
414 EXTERN PetscErrorCode MatGetBrowsOfAoCols(Mat,Mat,MatReuse,IS*,IS*,PetscInt*,Mat*);
415 
416 EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
417 
418 EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
419 EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
420 EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
421 
422 EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
423 EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
424 EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
425 
426 EXTERN PetscErrorCode MatMatMultTranspose(Mat,Mat,MatReuse,PetscReal,Mat*);
427 EXTERN PetscErrorCode MatMatMultTransposeSymbolic(Mat,Mat,PetscReal,Mat*);
428 EXTERN PetscErrorCode MatMatMultTransposeNumeric(Mat,Mat,Mat);
429 
430 EXTERN PetscErrorCode MatAXPY(const PetscScalar *,Mat,Mat,MatStructure);
431 EXTERN PetscErrorCode MatAYPX(const PetscScalar *,Mat,Mat);
432 EXTERN PetscErrorCode MatCompress(Mat);
433 
434 EXTERN PetscErrorCode MatScale(const PetscScalar *,Mat);
435 EXTERN PetscErrorCode MatShift(const PetscScalar *,Mat);
436 
437 EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping);
438 EXTERN PetscErrorCode MatSetLocalToGlobalMappingBlock(Mat,ISLocalToGlobalMapping);
439 EXTERN PetscErrorCode MatZeroRowsLocal(Mat,IS,const PetscScalar*);
440 EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
441 EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
442 
443 EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
444 EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
445 
446 EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
447 EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
448 EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
449 EXTERN PetscErrorCode MatGetVecs(Mat,Vec*,Vec*);
450 
451 /*MC
452    MatPreallocInitialize - Begins the block of code that will count the number of nonzeros per
453        row in a matrix providing the data that one can use to correctly preallocate the matrix.
454 
455    Synopsis:
456    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
457 
458    Collective on MPI_Comm
459 
460    Input Parameters:
461 +  comm - the communicator that will share the eventually allocated matrix
462 .  nrows - the number of rows in the matrix
463 -  ncols - the number of columns in the matrix
464 
465    Output Parameters:
466 +  dnz - the array that will be passed to the matrix preallocation routines
467 -  ozn - the other array passed to the matrix preallocation routines
468 
469 
470    Level: intermediate
471 
472    Notes:
473    See the chapter in the users manual on performance for more details
474 
475    Do not malloc or free dnz and onz, that is handled internally by these routines
476 
477    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
478 
479   Concepts: preallocation^Matrix
480 
481 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
482           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocal()
483 M*/
484 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
485 { \
486   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
487   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
488   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
489   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
490   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
491 
492 /*MC
493    MatPreallocSymmetricInitialize - Begins the block of code that will count the number of nonzeros per
494        row in a matrix providing the data that one can use to correctly preallocate the matrix.
495 
496    Synopsis:
497    PetscErrorCode MatPreallocateSymmetricInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
498 
499    Collective on MPI_Comm
500 
501    Input Parameters:
502 +  comm - the communicator that will share the eventually allocated matrix
503 .  nrows - the number of rows in the matrix
504 -  ncols - the number of columns in the matrix
505 
506    Output Parameters:
507 +  dnz - the array that will be passed to the matrix preallocation routines
508 -  ozn - the other array passed to the matrix preallocation routines
509 
510 
511    Level: intermediate
512 
513    Notes:
514    See the chapter in the users manual on performance for more details
515 
516    Do not malloc or free dnz and onz, that is handled internally by these routines
517 
518   Concepts: preallocation^Matrix
519 
520 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
521           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
522 M*/
523 #define MatPreallocateSymmetricInitialize(comm,nrows,ncols,dnz,onz) 0; \
524 { \
525   PetscErrorCode _4_ierr; PetscInt __tmp = (nrows),__ctmp = (ncols),__rstart,__end; \
526   _4_ierr = PetscMalloc(2*__tmp*sizeof(PetscInt),&dnz);CHKERRQ(_4_ierr);onz = dnz + __tmp;\
527   _4_ierr = PetscMemzero(dnz,2*__tmp*sizeof(PetscInt));CHKERRQ(_4_ierr);\
528   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr);\
529   _4_ierr = MPI_Scan(&__tmp,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __tmp;
530 
531 /*MC
532    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
533        inserted using a local number of the rows and columns
534 
535    Synopsis:
536    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
537 
538    Not Collective
539 
540    Input Parameters:
541 +  map - the mapping between local numbering and global numbering
542 .  nrows - the number of rows indicated
543 .  rows - the indices of the rows
544 .  ncols - the number of columns in the matrix
545 .  cols - the columns indicated
546 .  dnz - the array that will be passed to the matrix preallocation routines
547 -  ozn - the other array passed to the matrix preallocation routines
548 
549 
550    Level: intermediate
551 
552    Notes:
553    See the chapter in the users manual on performance for more details
554 
555    Do not malloc or free dnz and onz, that is handled internally by these routines
556 
557   Concepts: preallocation^Matrix
558 
559 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
560           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal()
561 M*/
562 #define MatPreallocateSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
563 {\
564   PetscInt __l;\
565   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
566   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
567   for (__l=0;__l<nrows;__l++) {\
568     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
569   }\
570 }
571 
572 /*MC
573    MatPreallocateSymmetricSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
574        inserted using a local number of the rows and columns
575 
576    Synopsis:
577    PetscErrorCode MatPreallocateSymmetricSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
578 
579    Not Collective
580 
581    Input Parameters:
582 +  map - the mapping between local numbering and global numbering
583 .  nrows - the number of rows indicated
584 .  rows - the indices of the rows
585 .  ncols - the number of columns in the matrix
586 .  cols - the columns indicated
587 .  dnz - the array that will be passed to the matrix preallocation routines
588 -  ozn - the other array passed to the matrix preallocation routines
589 
590 
591    Level: intermediate
592 
593    Notes:
594    See the chapter in the users manual on performance for more details
595 
596    Do not malloc or free dnz and onz that is handled internally by these routines
597 
598   Concepts: preallocation^Matrix
599 
600 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
601           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
602 M*/
603 #define MatPreallocateSymmetricSetLocal(map,nrows,rows,ncols,cols,dnz,onz) 0;\
604 {\
605   PetscInt __l;\
606   _4_ierr = ISLocalToGlobalMappingApply(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
607   _4_ierr = ISLocalToGlobalMappingApply(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
608   for (__l=0;__l<nrows;__l++) {\
609     _4_ierr = MatPreallocateSymmetricSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
610   }\
611 }
612 
613 /*MC
614    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
615        inserted using a local number of the rows and columns
616 
617    Synopsis:
618    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
619 
620    Not Collective
621 
622    Input Parameters:
623 +  nrows - the number of rows indicated
624 .  rows - the indices of the rows
625 .  ncols - the number of columns in the matrix
626 -  cols - the columns indicated
627 
628    Output Parameters:
629 +  dnz - the array that will be passed to the matrix preallocation routines
630 -  ozn - the other array passed to the matrix preallocation routines
631 
632 
633    Level: intermediate
634 
635    Notes:
636    See the chapter in the users manual on performance for more details
637 
638    Do not malloc or free dnz and onz that is handled internally by these routines
639 
640   Concepts: preallocation^Matrix
641 
642 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
643           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
644 M*/
645 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
646 { PetscInt __i; \
647   for (__i=0; __i<nc; __i++) {\
648     if (cols[__i] < __start || cols[__i] >= __end) onz[row - __rstart]++; \
649   }\
650   dnz[row - __rstart] = nc - onz[row - __rstart];\
651 }
652 
653 /*MC
654    MatPreallocateSymmetricSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
655        inserted using a local number of the rows and columns
656 
657    Synopsis:
658    PetscErrorCode MatPreallocateSymmetricSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
659 
660    Not Collective
661 
662    Input Parameters:
663 +  nrows - the number of rows indicated
664 .  rows - the indices of the rows
665 .  ncols - the number of columns in the matrix
666 .  cols - the columns indicated
667 .  dnz - the array that will be passed to the matrix preallocation routines
668 -  ozn - the other array passed to the matrix preallocation routines
669 
670 
671    Level: intermediate
672 
673    Notes:
674    See the chapter in the users manual on performance for more details
675 
676    Do not malloc or free dnz and onz that is handled internally by these routines
677 
678   Concepts: preallocation^Matrix
679 
680 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateInitialize(),
681           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocal(), MatPreallocateSetLocal()
682 M*/
683 #define MatPreallocateSymmetricSet(row,nc,cols,dnz,onz) 0;\
684 { PetscInt __i; \
685   for (__i=0; __i<nc; __i++) {\
686     if (cols[__i] >= __end) onz[row - __rstart]++; \
687     else if (cols[__i] >= row) dnz[row - __rstart]++;\
688   }\
689 }
690 
691 /*MC
692    MatPreallocFinalize - Ends the block of code that will count the number of nonzeros per
693        row in a matrix providing the data that one can use to correctly preallocate the matrix.
694 
695    Synopsis:
696    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
697 
698    Collective on MPI_Comm
699 
700    Input Parameters:
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 
705    Level: intermediate
706 
707    Notes:
708    See the chapter in the users manual on performance for more details
709 
710    Do not malloc or free dnz and onz that is handled internally by these routines
711 
712   Concepts: preallocation^Matrix
713 
714 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSet(), MatPreallocateSetLocal(),
715           MatPreallocateSymmetricInitialize(), MatPreallocateSymmetricSetLocal()
716 M*/
717 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree(dnz);CHKERRQ(_4_ierr);}
718 
719 
720 
721 /* Routines unique to particular data structures */
722 EXTERN PetscErrorCode MatShellGetContext(Mat,void **);
723 
724 EXTERN PetscErrorCode MatBDiagGetData(Mat,PetscInt*,PetscInt*,PetscInt*[],PetscInt*[],PetscScalar***);
725 EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
726 EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
727 EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
728 
729 EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
730 EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
731 EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
732 EXTERN PetscErrorCode MatSeqDensePreallocation(Mat,PetscScalar[]);
733 EXTERN PetscErrorCode MatSeqBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
734 EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
735 
736 EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
737 EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
738 EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
739 EXTERN PetscErrorCode MatMPIDensePreallocation(Mat,PetscScalar[]);
740 EXTERN PetscErrorCode MatMPIBDiagSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscScalar*[]);
741 EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
742 EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
743 EXTERN PetscErrorCode MatMPIRowbsSetPreallocation(Mat,PetscInt,const PetscInt[]);
744 EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,PetscInt*[]);
745 EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,PetscInt*[]);
746 EXTERN PetscErrorCode MatAdicSetLocalFunction(Mat,void (*)(void));
747 
748 EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
749 
750 EXTERN PetscErrorCode MatStoreValues(Mat);
751 EXTERN PetscErrorCode MatRetrieveValues(Mat);
752 
753 EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
754 
755 /*
756   These routines are not usually accessed directly, rather solving is
757   done through the KSP and PC interfaces.
758 */
759 
760 /*E
761     MatOrderingType - String with the name of a PETSc matrix ordering or the creation function
762        with an optional dynamic library name, for example
763        http://www.mcs.anl.gov/petsc/lib.a:orderingcreate()
764 
765    Level: beginner
766 
767 .seealso: MatGetOrdering()
768 E*/
769 #define MatOrderingType char*
770 #define MATORDERING_NATURAL   "natural"
771 #define MATORDERING_ND        "nd"
772 #define MATORDERING_1WD       "1wd"
773 #define MATORDERING_RCM       "rcm"
774 #define MATORDERING_QMD       "qmd"
775 #define MATORDERING_ROWLENGTH "rowlength"
776 #define MATORDERING_DSC_ND    "dsc_nd"
777 #define MATORDERING_DSC_MMD   "dsc_mmd"
778 #define MATORDERING_DSC_MDF   "dsc_mdf"
779 #define MATORDERING_CONSTRAINED "constrained"
780 #define MATORDERING_IDENTITY  "identity"
781 #define MATORDERING_REVERSE   "reverse"
782 
783 EXTERN PetscErrorCode MatGetOrdering(Mat,const MatOrderingType,IS*,IS*);
784 EXTERN PetscErrorCode MatOrderingRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatOrderingType,IS*,IS*));
785 
786 /*MC
787    MatOrderingRegisterDynamic - Adds a new sparse matrix ordering to the
788                                matrix package.
789 
790    Synopsis:
791    PetscErrorCode MatOrderingRegisterDynamic(char *name_ordering,char *path,char *name_create,PetscErrorCode (*routine_create)(MatOrdering))
792 
793    Not Collective
794 
795    Input Parameters:
796 +  sname - name of ordering (for example MATORDERING_ND)
797 .  path - location of library where creation routine is
798 .  name - name of function that creates the ordering type,a string
799 -  function - function pointer that creates the ordering
800 
801    Level: developer
802 
803    If dynamic libraries are used, then the fourth input argument (function)
804    is ignored.
805 
806    Sample usage:
807 .vb
808    MatOrderingRegisterDynamic("my_order",/home/username/my_lib/lib/libO/solaris/mylib.a,
809                "MyOrder",MyOrder);
810 .ve
811 
812    Then, your partitioner can be chosen with the procedural interface via
813 $     MatOrderingSetType(part,"my_order)
814    or at runtime via the option
815 $     -pc_ilu_mat_ordering_type my_order
816 $     -pc_lu_mat_ordering_type my_order
817 
818    ${PETSC_ARCH} and ${BOPT} occuring in pathname will be replaced with appropriate values.
819 
820 .keywords: matrix, ordering, register
821 
822 .seealso: MatOrderingRegisterDestroy(), MatOrderingRegisterAll()
823 M*/
824 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
825 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,0)
826 #else
827 #define MatOrderingRegisterDynamic(a,b,c,d) MatOrderingRegister(a,b,c,d)
828 #endif
829 
830 EXTERN PetscErrorCode        MatOrderingRegisterDestroy(void);
831 EXTERN PetscErrorCode        MatOrderingRegisterAll(const char[]);
832 extern PetscTruth MatOrderingRegisterAllCalled;
833 extern PetscFList MatOrderingList;
834 
835 EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
836 
837 /*S
838    MatFactorInfo - Data based into the matrix factorization routines
839 
840    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE
841 
842    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
843 
844    Level: developer
845 
846 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor()
847 
848 S*/
849 typedef struct {
850   PetscReal     damping;        /* scaling of identity added to matrix to prevent zero pivots */
851   PetscReal     shift;          /* if true, shift until positive pivots */
852   PetscReal     shift_fraction; /* record shift fraction taken */
853   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
854   PetscReal     dt;             /* drop tolerance */
855   PetscReal     dtcol;          /* tolerance for pivoting */
856   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
857   PetscReal     fill;           /* expected fill; nonzeros in factored matrix/nonzeros in original matrix*/
858   PetscReal     levels;         /* ICC/ILU(levels) */
859   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
860                                    factorization may be faster if do not pivot */
861   PetscReal     zeropivot;      /* pivot is called zero if less than this */
862 } MatFactorInfo;
863 
864 EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,MatFactorInfo*);
865 EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
866 EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat*);
867 EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,MatFactorInfo*);
868 EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,MatFactorInfo*);
869 EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
870 EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,IS,IS,MatFactorInfo*,Mat*);
871 EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,IS,MatFactorInfo*,Mat*);
872 EXTERN PetscErrorCode MatICCFactor(Mat,IS,MatFactorInfo*);
873 EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat*);
874 EXTERN PetscErrorCode MatILUDTFactor(Mat,MatFactorInfo*,IS,IS,Mat *);
875 EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
876 EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
877 EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
878 EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
879 EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
880 EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
881 EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
882 EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
883 
884 EXTERN PetscErrorCode MatSetUnfactored(Mat);
885 
886 /*E
887     MatSORType - What type of (S)SOR to perform
888 
889     Level: beginner
890 
891    May be bitwise ORd together
892 
893    Any additions/changes here MUST also be made in include/finclude/petscmat.h
894 
895    MatSORType may be bitwise ORd together, so do not change the numbers
896 
897 .seealso: MatRelax(), MatPBRelax()
898 E*/
899 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
900               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
901               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
902               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
903 EXTERN PetscErrorCode MatRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
904 EXTERN PetscErrorCode MatPBRelax(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
905 
906 /*
907     These routines are for efficiently computing Jacobians via finite differences.
908 */
909 
910 /*E
911     MatColoringType - String with the name of a PETSc matrix coloring or the creation function
912        with an optional dynamic library name, for example
913        http://www.mcs.anl.gov/petsc/lib.a:coloringcreate()
914 
915    Level: beginner
916 
917 .seealso: MatGetColoring()
918 E*/
919 #define MatColoringType char*
920 #define MATCOLORING_NATURAL "natural"
921 #define MATCOLORING_SL      "sl"
922 #define MATCOLORING_LF      "lf"
923 #define MATCOLORING_ID      "id"
924 
925 EXTERN PetscErrorCode MatGetColoring(Mat,const MatColoringType,ISColoring*);
926 EXTERN PetscErrorCode MatColoringRegister(const char[],const char[],const char[],PetscErrorCode(*)(Mat,const MatColoringType,ISColoring *));
927 
928 /*MC
929    MatColoringRegisterDynamic - Adds a new sparse matrix coloring to the
930                                matrix package.
931 
932    Synopsis:
933    PetscErrorCode MatColoringRegisterDynamic(char *name_coloring,char *path,char *name_create,PetscErrorCode (*routine_create)(MatColoring))
934 
935    Not Collective
936 
937    Input Parameters:
938 +  sname - name of Coloring (for example MATCOLORING_SL)
939 .  path - location of library where creation routine is
940 .  name - name of function that creates the Coloring type, a string
941 -  function - function pointer that creates the coloring
942 
943    Level: developer
944 
945    If dynamic libraries are used, then the fourth input argument (function)
946    is ignored.
947 
948    Sample usage:
949 .vb
950    MatColoringRegisterDynamic("my_color",/home/username/my_lib/lib/libO/solaris/mylib.a,
951                "MyColor",MyColor);
952 .ve
953 
954    Then, your partitioner can be chosen with the procedural interface via
955 $     MatColoringSetType(part,"my_color")
956    or at runtime via the option
957 $     -mat_coloring_type my_color
958 
959    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
960 
961 .keywords: matrix, Coloring, register
962 
963 .seealso: MatColoringRegisterDestroy(), MatColoringRegisterAll()
964 M*/
965 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
966 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,0)
967 #else
968 #define MatColoringRegisterDynamic(a,b,c,d) MatColoringRegister(a,b,c,d)
969 #endif
970 
971 EXTERN PetscErrorCode        MatColoringRegisterAll(const char[]);
972 extern PetscTruth MatColoringRegisterAllCalled;
973 EXTERN PetscErrorCode        MatColoringRegisterDestroy(void);
974 EXTERN PetscErrorCode        MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
975 
976 /*S
977      MatFDColoring - Object for computing a sparse Jacobian via finite differences
978         and coloring
979 
980    Level: beginner
981 
982   Concepts: coloring, sparse Jacobian, finite differences
983 
984 .seealso:  MatFDColoringCreate()
985 S*/
986 typedef struct _p_MatFDColoring *MatFDColoring;
987 
988 EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
989 EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring);
990 EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
991 EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
992 EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
993 EXTERN PetscErrorCode MatFDColoringSetFrequency(MatFDColoring,PetscInt);
994 EXTERN PetscErrorCode MatFDColoringGetFrequency(MatFDColoring,PetscInt*);
995 EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
996 EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,MatStructure*,void *);
997 EXTERN PetscErrorCode MatFDColoringApplyTS(Mat,MatFDColoring,PetscReal,Vec,MatStructure*,void *);
998 EXTERN PetscErrorCode MatFDColoringSetRecompute(MatFDColoring);
999 EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1000 EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1001 /*
1002     These routines are for partitioning matrices: currently used only
1003   for adjacency matrix, MatCreateMPIAdj().
1004 */
1005 
1006 /*S
1007      MatPartitioning - Object for managing the partitioning of a matrix or graph
1008 
1009    Level: beginner
1010 
1011   Concepts: partitioning
1012 
1013 .seealso:  MatPartitioningCreate(), MatPartitioningType
1014 S*/
1015 typedef struct _p_MatPartitioning *MatPartitioning;
1016 
1017 /*E
1018     MatPartitioningType - String with the name of a PETSc matrix partitioning or the creation function
1019        with an optional dynamic library name, for example
1020        http://www.mcs.anl.gov/petsc/lib.a:partitioningcreate()
1021 
1022    Level: beginner
1023 
1024 .seealso: MatPartitioningCreate(), MatPartitioning
1025 E*/
1026 #define MatPartitioningType char*
1027 #define MAT_PARTITIONING_CURRENT  "current"
1028 #define MAT_PARTITIONING_PARMETIS "parmetis"
1029 #define MAT_PARTITIONING_CHACO    "chaco"
1030 #define MAT_PARTITIONING_JOSTLE   "jostle"
1031 #define MAT_PARTITIONING_PARTY    "party"
1032 #define MAT_PARTITIONING_SCOTCH   "scotch"
1033 
1034 
1035 EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1036 EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,const MatPartitioningType);
1037 EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1038 EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1039 EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1040 EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1041 EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1042 EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning);
1043 
1044 EXTERN PetscErrorCode MatPartitioningRegister(const char[],const char[],const char[],PetscErrorCode (*)(MatPartitioning));
1045 
1046 /*MC
1047    MatPartitioningRegisterDynamic - Adds a new sparse matrix partitioning to the
1048    matrix package.
1049 
1050    Synopsis:
1051    PetscErrorCode MatPartitioningRegisterDynamic(char *name_partitioning,char *path,char *name_create,PetscErrorCode (*routine_create)(MatPartitioning))
1052 
1053    Not Collective
1054 
1055    Input Parameters:
1056 +  sname - name of partitioning (for example MAT_PARTITIONING_CURRENT) or parmetis
1057 .  path - location of library where creation routine is
1058 .  name - name of function that creates the partitioning type, a string
1059 -  function - function pointer that creates the partitioning type
1060 
1061    Level: developer
1062 
1063    If dynamic libraries are used, then the fourth input argument (function)
1064    is ignored.
1065 
1066    Sample usage:
1067 .vb
1068    MatPartitioningRegisterDynamic("my_part",/home/username/my_lib/lib/libO/solaris/mylib.a,
1069                "MyPartCreate",MyPartCreate);
1070 .ve
1071 
1072    Then, your partitioner can be chosen with the procedural interface via
1073 $     MatPartitioningSetType(part,"my_part")
1074    or at runtime via the option
1075 $     -mat_partitioning_type my_part
1076 
1077    $PETSC_ARCH and $BOPT occuring in pathname will be replaced with appropriate values.
1078 
1079 .keywords: matrix, partitioning, register
1080 
1081 .seealso: MatPartitioningRegisterDestroy(), MatPartitioningRegisterAll()
1082 M*/
1083 #if defined(PETSC_USE_DYNAMIC_LIBRARIES)
1084 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,0)
1085 #else
1086 #define MatPartitioningRegisterDynamic(a,b,c,d) MatPartitioningRegister(a,b,c,d)
1087 #endif
1088 
1089 EXTERN PetscErrorCode        MatPartitioningRegisterAll(const char[]);
1090 extern PetscTruth MatPartitioningRegisterAllCalled;
1091 EXTERN PetscErrorCode        MatPartitioningRegisterDestroy(void);
1092 
1093 EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1094 EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1095 EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1096 
1097 EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1098 
1099 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseLevel(MatPartitioning,PetscReal);
1100 EXTERN PetscErrorCode MatPartitioningJostleSetCoarseSequential(MatPartitioning);
1101 
1102 typedef enum { MP_CHACO_MULTILEVEL_KL, MP_CHACO_SPECTRAL, MP_CHACO_LINEAR,
1103     MP_CHACO_RANDOM, MP_CHACO_SCATTERED } MPChacoGlobalType;
1104 EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning, MPChacoGlobalType);
1105 typedef enum { MP_CHACO_KERNIGHAN_LIN, MP_CHACO_NONE } MPChacoLocalType;
1106 EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning, MPChacoLocalType);
1107 EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1108 typedef enum { MP_CHACO_LANCZOS, MP_CHACO_RQI_SYMMLQ } MPChacoEigenType;
1109 EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1110 EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning, PetscReal);
1111 EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning, PetscInt);
1112 
1113 #define MP_PARTY_OPT "opt"
1114 #define MP_PARTY_LIN "lin"
1115 #define MP_PARTY_SCA "sca"
1116 #define MP_PARTY_RAN "ran"
1117 #define MP_PARTY_GBF "gbf"
1118 #define MP_PARTY_GCF "gcf"
1119 #define MP_PARTY_BUB "bub"
1120 #define MP_PARTY_DEF "def"
1121 EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning, const char*);
1122 #define MP_PARTY_HELPFUL_SETS "hs"
1123 #define MP_PARTY_KERNIGHAN_LIN "kl"
1124 #define MP_PARTY_NONE "no"
1125 EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning, const char*);
1126 EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1127 EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscTruth);
1128 EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscTruth);
1129 
1130 typedef enum { MP_SCOTCH_GREEDY, MP_SCOTCH_GPS, MP_SCOTCH_GR_GPS } MPScotchGlobalType;
1131 EXTERN PetscErrorCode MatPartitioningScotchSetArch(MatPartitioning,const char*);
1132 EXTERN PetscErrorCode MatPartitioningScotchSetMultilevel(MatPartitioning);
1133 EXTERN PetscErrorCode MatPartitioningScotchSetGlobal(MatPartitioning,MPScotchGlobalType);
1134 EXTERN PetscErrorCode MatPartitioningScotchSetCoarseLevel(MatPartitioning,PetscReal);
1135 EXTERN PetscErrorCode MatPartitioningScotchSetHostList(MatPartitioning,const char*);
1136 typedef enum { MP_SCOTCH_KERNIGHAN_LIN, MP_SCOTCH_NONE } MPScotchLocalType;
1137 EXTERN PetscErrorCode MatPartitioningScotchSetLocal(MatPartitioning,MPScotchLocalType);
1138 EXTERN PetscErrorCode MatPartitioningScotchSetMapping(MatPartitioning);
1139 EXTERN PetscErrorCode MatPartitioningScotchSetStrategy(MatPartitioning,char*);
1140 
1141 /*
1142     If you add entries here you must also add them to finclude/petscmat.h
1143 */
1144 typedef enum { MATOP_SET_VALUES=0,
1145                MATOP_GET_ROW=1,
1146                MATOP_RESTORE_ROW=2,
1147                MATOP_MULT=3,
1148                MATOP_MULT_ADD=4,
1149                MATOP_MULT_TRANSPOSE=5,
1150                MATOP_MULT_TRANSPOSE_ADD=6,
1151                MATOP_SOLVE=7,
1152                MATOP_SOLVE_ADD=8,
1153                MATOP_SOLVE_TRANSPOSE=9,
1154                MATOP_SOLVE_TRANSPOSE_ADD=10,
1155                MATOP_LUFACTOR=11,
1156                MATOP_CHOLESKYFACTOR=12,
1157                MATOP_RELAX=13,
1158                MATOP_TRANSPOSE=14,
1159                MATOP_GETINFO=15,
1160                MATOP_EQUAL=16,
1161                MATOP_GET_DIAGONAL=17,
1162                MATOP_DIAGONAL_SCALE=18,
1163                MATOP_NORM=19,
1164                MATOP_ASSEMBLY_BEGIN=20,
1165                MATOP_ASSEMBLY_END=21,
1166                MATOP_COMPRESS=22,
1167                MATOP_SET_OPTION=23,
1168                MATOP_ZERO_ENTRIES=24,
1169                MATOP_ZERO_ROWS=25,
1170                MATOP_LUFACTOR_SYMBOLIC=26,
1171                MATOP_LUFACTOR_NUMERIC=27,
1172                MATOP_CHOLESKY_FACTOR_SYMBOLIC=28,
1173                MATOP_CHOLESKY_FACTOR_NUMERIC=29,
1174                MATOP_SETUP_PREALLOCATION=30,
1175                MATOP_ILUFACTOR_SYMBOLIC=31,
1176                MATOP_ICCFACTOR_SYMBOLIC=32,
1177                MATOP_GET_ARRAY=33,
1178                MATOP_RESTORE_ARRAY=34,
1179                MATOP_DUPLCIATE=35,
1180                MATOP_FORWARD_SOLVE=36,
1181                MATOP_BACKWARD_SOLVE=37,
1182                MATOP_ILUFACTOR=38,
1183                MATOP_ICCFACTOR=39,
1184                MATOP_AXPY=40,
1185                MATOP_GET_SUBMATRICES=41,
1186                MATOP_INCREASE_OVERLAP=42,
1187                MATOP_GET_VALUES=43,
1188                MATOP_COPY=44,
1189                MATOP_PRINT_HELP=45,
1190                MATOP_SCALE=46,
1191                MATOP_SHIFT=47,
1192                MATOP_DIAGONAL_SHIFT=48,
1193                MATOP_ILUDT_FACTOR=49,
1194                MATOP_GET_BLOCK_SIZE=50,
1195                MATOP_GET_ROW_IJ=51,
1196                MATOP_RESTORE_ROW_IJ=52,
1197                MATOP_GET_COLUMN_IJ=53,
1198                MATOP_RESTORE_COLUMN_IJ=54,
1199                MATOP_FDCOLORING_CREATE=55,
1200                MATOP_COLORING_PATCH=56,
1201                MATOP_SET_UNFACTORED=57,
1202                MATOP_PERMUTE=58,
1203                MATOP_SET_VALUES_BLOCKED=59,
1204                MATOP_GET_SUBMATRIX=60,
1205                MATOP_DESTROY=61,
1206                MATOP_VIEW=62,
1207                MATOP_GET_MAPS=63,
1208                MATOP_USE_SCALED_FORM=64,
1209                MATOP_SCALE_SYSTEM=65,
1210                MATOP_UNSCALE_SYSTEM=66,
1211                MATOP_SET_LOCAL_TO_GLOBAL_MAP=67,
1212                MATOP_SET_VALUES_LOCAL=68,
1213                MATOP_ZERO_ROWS_LOCAL=69,
1214                MATOP_GET_ROW_MAX=70,
1215                MATOP_CONVERT=71,
1216                MATOP_SET_COLORING=72,
1217                MATOP_SET_VALUES_ADIC=73,
1218                MATOP_SET_VALUES_ADIFOR=74,
1219                MATOP_FD_COLORING_APPLY=75,
1220                MATOP_SET_FROM_OPTIONS=76,
1221                MATOP_MULT_CON=77,
1222                MATOP_MULT_TRANSPOSE_CON=78,
1223                MATOP_ILU_FACTOR_SYMBOLIC_CON=79,
1224                MATOP_PERMUTE_SPARSIFY=80,
1225                MATOP_MULT_MULTIPLE=81,
1226                MATOP_SOLVE_MULTIPLE=82,
1227                MATOP_GET_INERTIA=83,
1228                MATOP_LOAD=84,
1229                MATOP_IS_SYMMETRIC=85,
1230                MATOP_IS_HERMITIAN=86,
1231                MATOP_IS_STRUCTURALLY_SYMMETRIC=87,
1232                MATOP_PB_RELAX=88,
1233                MATOP_GET_VECS=89,
1234                MATOP_MAT_MULT=90,
1235                MATOP_MAT_MULT_SYMBOLIC=91,
1236                MATOP_MAT_MULT_NUMERIC=92,
1237                MATOP_PTAP=93,
1238                MATOP_PTAP_SYMBOLIC=94,
1239                MATOP_PTAP_NUMERIC=95,
1240                MATOP_MAT_MULTTRANSPOSE=96,
1241                MATOP_MAT_MULTTRANSPOSE_SYMBOLIC=97,
1242                MATOP_MAT_MULTTRANSPOSE_NUMERIC=98
1243              } MatOperation;
1244 EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscTruth*);
1245 EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1246 EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1247 EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1248 
1249 /*
1250    Codes for matrices stored on disk. By default they are
1251  stored in a universal format. By changing the format with
1252  PetscViewerSetFormat(viewer,PETSC_VIEWER_BINARY_NATIVE); the matrices will
1253  be stored in a way natural for the matrix, for example dense matrices
1254  would be stored as dense. Matrices stored this way may only be
1255  read into matrices of the same time.
1256 */
1257 #define MATRIX_BINARY_FORMAT_DENSE -1
1258 
1259 EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1260 EXTERN PetscErrorCode MatSeqAIJGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1261 EXTERN PetscErrorCode MatMPIRowbsGetColor(Mat,ISColoring *);
1262 
1263 EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1264 
1265 /*S
1266      MatNullSpace - Object that removes a null space from a vector, i.e.
1267          orthogonalizes the vector to a subsapce
1268 
1269    Level: advanced
1270 
1271   Concepts: matrix; linear operator, null space
1272 
1273   Users manual sections:
1274 .   sec_singular
1275 
1276 .seealso:  MatNullSpaceCreate()
1277 S*/
1278 typedef struct _p_MatNullSpace* MatNullSpace;
1279 
1280 EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscTruth,PetscInt,const Vec[],MatNullSpace*);
1281 EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace);
1282 EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec,Vec*);
1283 EXTERN PetscErrorCode MatNullSpaceAttach(Mat,MatNullSpace);
1284 EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat);
1285 
1286 EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1287 EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1288 EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1289 
1290 
1291 EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1292 EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1293 EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1294 
1295 EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1296 
1297 EXTERN PetscErrorCode MatESISetType(Mat,const char*);
1298 EXTERN PetscErrorCode MatESISetFromOptions(Mat);
1299 
1300 EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1301 
1302 EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1303 EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1304 
1305 PETSC_EXTERN_CXX_END
1306 #endif
1307