|
| void | composePermutationsLLM (size_t *MathP, const size_t *P1, const size_t *P2, const size_t R, const size_t N) |
| | Computes P1 x Diag (I_R, P2) where P1 is a LAPACK and P2 a LAPACK permutation and store the result in MathP as a MathPermutation format. More...
|
| |
| void | composePermutationsLLL (size_t *P1, const size_t *P2, const size_t R, const size_t N) |
| | Computes P1 x Diag (I_R, P2) where P1 is a LAPACK and P2 a LAPACK permutation and store the result in P1 as a LAPACK permutation. More...
|
| |
| void | composePermutationsMLM (size_t *MathP1, const size_t *P2, const size_t R, const size_t N) |
| | Computes MathP1 x Diag (I_R, P2) where MathP1 is a MathPermutation and P2 a LAPACK permutation and store the result in MathP1 as a MathPermutation format. More...
|
| |
| void | cyclic_shift_mathPerm (size_t *P, const size_t s) |
| |
| template<typename Base_t > |
| void | cyclic_shift_row_col (Base_t *A, size_t m, size_t n, size_t lda) |
| |
| template INST_OR_DECL void | cyclic_shift_row (const FFLAS_FIELD< FFLAS_ELT > &F, FFLAS_ELT *A, size_t m, size_t n, size_t lda) |
| |
| template INST_OR_DECL void | cyclic_shift_col (const FFLAS_FIELD< FFLAS_ELT > &F, FFLAS_ELT *A, size_t m, size_t n, size_t lda) |
| |
| template INST_OR_DECL void | applyP (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE Side, const FFLAS::FFLAS_TRANSPOSE Trans, const size_t M, const size_t ibeg, const size_t iend, FFLAS_ELT *A, const size_t lda, const size_t *P) |
| |
| template INST_OR_DECL void | fgetrs (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t R, FFLAS_ELT *A, const size_t lda, const size_t *P, const size_t *Q, FFLAS_ELT *B, const size_t ldb, int *info) |
| |
| template INST_OR_DECL FFLAS_ELT * | fgetrs (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t NRHS, const size_t R, FFLAS_ELT *A, const size_t lda, const size_t *P, const size_t *Q, FFLAS_ELT *X, const size_t ldx, const FFLAS_ELT *B, const size_t ldb, int *info) |
| |
| template INST_OR_DECL size_t | fgesv (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, FFLAS_ELT *B, const size_t ldb, int *info) |
| |
| template INST_OR_DECL size_t | fgesv (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t NRHS, FFLAS_ELT *A, const size_t lda, FFLAS_ELT *X, const size_t ldx, const FFLAS_ELT *B, const size_t ldb, int *info) |
| |
| template INST_OR_DECL void | ftrtri (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_UPLO Uplo, const FFLAS::FFLAS_DIAG Diag, const size_t N, FFLAS_ELT *A, const size_t lda, const size_t threshold) |
| |
| template INST_OR_DECL void | trinv_left (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t N, const FFLAS_ELT *L, const size_t ldl, FFLAS_ELT *X, const size_t ldx) |
| |
| template INST_OR_DECL void | ftrtrm (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE side, const FFLAS::FFLAS_DIAG diag, const size_t N, FFLAS_ELT *A, const size_t lda) |
| |
| template INST_OR_DECL size_t | PLUQ (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_DIAG Diag, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Q) |
| |
| template INST_OR_DECL size_t | LUdivine (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_DIAG Diag, const FFLAS::FFLAS_TRANSPOSE trans, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Qt, const FFPACK_LU_TAG LuTag, const size_t cutoff) |
| |
| template INST_OR_DECL size_t | LUdivine_small (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_DIAG Diag, const FFLAS::FFLAS_TRANSPOSE trans, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Q, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL size_t | LUdivine_gauss (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_DIAG Diag, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Q, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL size_t | RowEchelonForm (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL size_t | ReducedRowEchelonForm (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL size_t | ColumnEchelonForm (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL size_t | ReducedColumnEchelonForm (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Qt, const bool transform, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL FFLAS_ELT * | Invert (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, FFLAS_ELT *A, const size_t lda, int &nullity) |
| |
| template INST_OR_DECL FFLAS_ELT * | Invert (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const FFLAS_ELT *A, const size_t lda, FFLAS_ELT *X, const size_t ldx, int &nullity) |
| |
| template INST_OR_DECL FFLAS_ELT * | Invert2 (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, FFLAS_ELT *A, const size_t lda, FFLAS_ELT *X, const size_t ldx, int &nullity) |
| |
| template INST_OR_DECL std::list< Givaro::Poly1Dom< FFLAS_FIELD< FFLAS_ELT > >::Element > & | CharPoly (const Givaro::Poly1Dom< FFLAS_FIELD< FFLAS_ELT > > &R, std::list< Givaro::Poly1Dom< FFLAS_FIELD< FFLAS_ELT > >::Element > &charp, const size_t N, FFLAS_ELT *A, const size_t lda, FFLAS_FIELD< FFLAS_ELT >::RandIter &G, const FFPACK_CHARPOLY_TAG CharpTag, const size_t degree) |
| |
| template INST_OR_DECL Givaro::Poly1Dom< FFLAS_FIELD< FFLAS_ELT > >::Element & | CharPoly (const Givaro::Poly1Dom< FFLAS_FIELD< FFLAS_ELT > > &R, Givaro::Poly1Dom< FFLAS_FIELD< FFLAS_ELT > >::Element &charp, const size_t N, FFLAS_ELT *A, const size_t lda, FFLAS_FIELD< FFLAS_ELT >::RandIter &G, const FFPACK_CHARPOLY_TAG CharpTag, const size_t degree) |
| |
| template INST_OR_DECL Givaro::Poly1Dom< FFLAS_FIELD< FFLAS_ELT > >::Element & | CharPoly (const Givaro::Poly1Dom< FFLAS_FIELD< FFLAS_ELT > > &R, Givaro::Poly1Dom< FFLAS_FIELD< FFLAS_ELT > >::Element &charp, const size_t N, FFLAS_ELT *A, const size_t lda, const FFPACK_CHARPOLY_TAG CharpTag, const size_t degree) |
| |
| template INST_OR_DECL std::vector< FFLAS_ELT > & | MinPoly (const FFLAS_FIELD< FFLAS_ELT > &F, std::vector< FFLAS_ELT > &minP, const size_t N, const FFLAS_ELT *A, const size_t lda, FFLAS_FIELD< FFLAS_ELT >::RandIter &G) |
| |
| template INST_OR_DECL std::vector< FFLAS_ELT > & | MinPoly (const FFLAS_FIELD< FFLAS_ELT > &F, std::vector< FFLAS_ELT > &minP, const size_t N, const FFLAS_ELT *A, const size_t lda) |
| |
| template INST_OR_DECL std::vector< FFLAS_ELT > & | MatVecMinPoly (const FFLAS_FIELD< FFLAS_ELT > &F, std::vector< FFLAS_ELT > &minP, const size_t N, const FFLAS_ELT *A, const size_t lda, const FFLAS_ELT *V, const size_t incv) |
| |
| template INST_OR_DECL size_t | KrylovElim (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Q, const size_t deg, size_t *iterates, size_t *inviterates, const size_t maxit, size_t virt) |
| |
| template INST_OR_DECL size_t | SpecRankProfile (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, const size_t deg, size_t *rankProfile) |
| |
| template INST_OR_DECL size_t | Rank (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda) |
| |
| template INST_OR_DECL bool | IsSingular (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda) |
| |
| template INST_OR_DECL FFLAS_ELT & | Det (const FFLAS_FIELD< FFLAS_ELT > &F, FFLAS_ELT &det, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *P, size_t *Q) |
| |
| template INST_OR_DECL FFLAS_ELT & | Det (const FFLAS_FIELD< FFLAS_ELT > &F, FFLAS_ELT &det, const size_t N, FFLAS_ELT *A, const size_t lda, const FFLAS::ParSeqHelper::Parallel< FFLAS::CuttingStrategy::Recursive, FFLAS::StrategyParameter::Threads > &parH, size_t *P, size_t *Q) |
| |
| template INST_OR_DECL FFLAS_ELT * | Solve (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, FFLAS_ELT *A, const size_t lda, FFLAS_ELT *x, const int incx, const FFLAS_ELT *b, const int incb) |
| |
| template INST_OR_DECL void | solveLB (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t R, FFLAS_ELT *L, const size_t ldl, const size_t *Q, FFLAS_ELT *B, const size_t ldb) |
| |
| template INST_OR_DECL void | solveLB2 (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, const size_t R, FFLAS_ELT *L, const size_t ldl, const size_t *Q, FFLAS_ELT *B, const size_t ldb) |
| |
| template INST_OR_DECL void | RandomNullSpaceVector (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, FFLAS_ELT *X, const size_t incX) |
| |
| template INST_OR_DECL size_t | NullSpaceBasis (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_SIDE Side, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, FFLAS_ELT *&NS, size_t &ldn, size_t &NSdim) |
| |
| template INST_OR_DECL size_t | RowRankProfile (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *&rkprofile, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL size_t | ColumnRankProfile (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *&rkprofile, const FFPACK_LU_TAG LuTag) |
| |
| void | RankProfileFromLU (const size_t *P, const size_t N, const size_t R, size_t *rkprofile, const FFPACK_LU_TAG LuTag) |
| | Recovers the column/row rank profile from the permutation of an LU decomposition. More...
|
| |
| size_t | LeadingSubmatrixRankProfiles (const size_t M, const size_t N, const size_t R, const size_t LSm, const size_t LSn, const size_t *P, const size_t *Q, size_t *RRP, size_t *CRP) |
| | Recovers the row and column rank profiles of any leading submatrix from the PLUQ decomposition. More...
|
| |
| template INST_OR_DECL size_t | RowRankProfileSubmatrixIndices (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *&rowindices, size_t *&colindices, size_t &R) |
| |
| template INST_OR_DECL size_t | ColRankProfileSubmatrixIndices (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, size_t *&rowindices, size_t *&colindices, size_t &R) |
| |
| template INST_OR_DECL size_t | RowRankProfileSubmatrix (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, FFLAS_ELT *&X, size_t &R) |
| |
| template INST_OR_DECL size_t | ColRankProfileSubmatrix (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t M, const size_t N, FFLAS_ELT *A, const size_t lda, FFLAS_ELT *&X, size_t &R) |
| |
| template INST_OR_DECL void | getTriangular< FFLAS_FIELD< FFLAS_ELT > > (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_UPLO Uplo, const FFLAS::FFLAS_DIAG diag, const size_t M, const size_t N, const size_t R, const FFLAS_ELT *A, const size_t lda, FFLAS_ELT *T, const size_t ldt, const bool OnlyNonZeroVectors) |
| |
| template INST_OR_DECL void | getTriangular< FFLAS_FIELD< FFLAS_ELT > > (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_UPLO Uplo, const FFLAS::FFLAS_DIAG diag, const size_t M, const size_t N, const size_t R, FFLAS_ELT *A, const size_t lda) |
| |
| template INST_OR_DECL void | getEchelonForm< FFLAS_FIELD< FFLAS_ELT > > (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_UPLO Uplo, const FFLAS::FFLAS_DIAG diag, const size_t M, const size_t N, const size_t R, const size_t *P, const FFLAS_ELT *A, const size_t lda, FFLAS_ELT *T, const size_t ldt, const bool OnlyNonZeroVectors, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL void | getEchelonForm< FFLAS_FIELD< FFLAS_ELT > > (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_UPLO Uplo, const FFLAS::FFLAS_DIAG diag, const size_t M, const size_t N, const size_t R, const size_t *P, FFLAS_ELT *A, const size_t lda, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL void | getEchelonTransform< FFLAS_FIELD< FFLAS_ELT > > (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_UPLO Uplo, const FFLAS::FFLAS_DIAG diag, const size_t M, const size_t N, const size_t R, const size_t *P, const size_t *Q, const FFLAS_ELT *A, const size_t lda, FFLAS_ELT *T, const size_t ldt, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL void | getReducedEchelonForm< FFLAS_FIELD< FFLAS_ELT > > (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_UPLO Uplo, const size_t M, const size_t N, const size_t R, const size_t *P, const FFLAS_ELT *A, const size_t lda, FFLAS_ELT *T, const size_t ldt, const bool OnlyNonZeroVectors, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL void | getReducedEchelonForm< FFLAS_FIELD< FFLAS_ELT > > (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_UPLO Uplo, const size_t M, const size_t N, const size_t R, const size_t *P, FFLAS_ELT *A, const size_t lda, const FFPACK_LU_TAG LuTag) |
| |
| template INST_OR_DECL void | getReducedEchelonTransform< FFLAS_FIELD< FFLAS_ELT > > (const FFLAS_FIELD< FFLAS_ELT > &F, const FFLAS::FFLAS_UPLO Uplo, const size_t M, const size_t N, const size_t R, const size_t *P, const size_t *Q, const FFLAS_ELT *A, const size_t lda, FFLAS_ELT *T, const size_t ldt, const FFPACK_LU_TAG LuTag) |
| |
| void | PLUQtoEchelonPermutation (const size_t N, const size_t R, const size_t *P, size_t *outPerm) |
| | Auxiliary routine: determines the permutation that changes a PLUQ decomposition into a echelon form revealing PLUQ decomposition. More...
|
| |
| template INST_OR_DECL FFLAS_ELT * | LQUPtoInverseOfFullRankMinor (const FFLAS_FIELD< FFLAS_ELT > &F, const size_t rank, FFLAS_ELT *A_factors, const size_t lda, const size_t *QtPointer, FFLAS_ELT *X, const size_t ldx) |
| |
