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AbstractLinAlgPack: C++ Interfaces For Vectors, Matrices And Related Linear Algebra Objects
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AbstractLinAlgPack: C++ Interfaces For Vectors, Matrices And Related Linear Algebra Objects
Version of the Day
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Abstract base class for all serial nonsingular polymorphic matrices that can be used to compute matrix-vector products and solve for linear systems efficiently. More...
#include <AbstractLinAlgPack_MatrixOpNonsingSerial.hpp>
Additional Inherited Members | |
 Public Types inherited from AbstractLinAlgPack::MatrixOp | |
| enum | EMatNormType { MAT_NORM_INF, MAT_NORM_2, MAT_NORM_1, MAT_NORM_FORB } |
| Type of matrix norm. More... | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixOpSerial | |
| virtual void | Mp_StM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs) const |
| gms_lhs += alpha * op(M_rhs) (BLAS xAXPY) More... | |
| virtual void | Mp_StMtP (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans) const |
| gms_lhs += alpha * op(M_rhs) * op(P_rhs) More... | |
| virtual void | Mp_StPtM (DMatrixSlice *gms_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans, BLAS_Cpp::Transp M_trans) const |
| gms_lhs += alpha * op(P) * op(M_rhs) More... | |
| virtual void | Mp_StPtMtP (DMatrixSlice *gms_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs2, BLAS_Cpp::Transp P_rhs2_trans) const |
| gms_lhs += alpha * op(P_rhs1) * op(M_rhs) * op(P_rhs2) More... | |
| virtual void | Vp_StMtV (DVectorSlice *vs_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DVectorSlice &vs_rhs2, value_type beta) const =0 |
| vs_lhs = alpha * op(M_rhs1) * vs_rhs2 + beta * vs_lhs (BLAS xGEMV) More... | |
| virtual void | Vp_StMtV (DVectorSlice *vs_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2, value_type beta) const |
| vs_lhs = alpha * op(M_rhs1) * sv_rhs2 + beta * vs_lhs (BLAS xGEMV) More... | |
| virtual void | Vp_StPtMtV (DVectorSlice *vs_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const DVectorSlice &vs_rhs3, value_type beta) const |
| vs_lhs = alpha * op(P_rhs1) * op(M_rhs2) * vs_rhs3 + beta * vs_rhs More... | |
| virtual void | Vp_StPtMtV (DVectorSlice *vs_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const SpVectorSlice &sv_rhs3, value_type beta) const |
| vs_lhs = alpha * op(P_rhs1) * op(M_rhs2) * sv_rhs3 + beta * vs_rhs More... | |
| virtual value_type | transVtMtV (const DVectorSlice &vs_rhs1, BLAS_Cpp::Transp trans_rhs2, const DVectorSlice &vs_rhs3) const |
| result = vs_rhs1' * op(M_rhs2) * vs_rhs3 More... | |
| virtual void | syr2k (BLAS_Cpp::Transp M_trans, value_type alpha, const GenPermMatrixSlice &P1, BLAS_Cpp::Transp P1_trans, const GenPermMatrixSlice &P2, BLAS_Cpp::Transp P2_trans, value_type beta, DMatrixSliceSym *sym_lhs) const |
| Perform a specialized rank-2k update of a dense symmetric matrix of the form: More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DMatrixSlice &gms_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(M_rhs1) * op(gms_rhs2) + beta * gms_lhs (right) (xGEMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, const DMatrixSlice &gms_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(gms_rhs1) * op(M_rhs2) + beta * gms_lhs (left) (xGEMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const MatrixOpSerial &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(M_rhs1) * op(mwo_rhs2) + beta * gms_lhs (right) (xGEMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DMatrixSliceSym &sym_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(M_rhs1) * op(sym_rhs2) + beta * gms_lhs (right) (xSYMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, const DMatrixSliceSym &sym_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(sym_rhs1) * op(M_rhs2) + beta * gms_lhs (left) (xSYMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DMatrixSliceTri &tri_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(M_rhs1) * op(tri_rhs2) + beta * gms_lhs (right) (xTRMM) More... | |
| virtual void | Mp_StMtM (DMatrixSlice *gms_lhs, value_type alpha, const DMatrixSliceTri &tri_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| gms_lhs = alpha * op(tri_rhs1) * op(M_rhs2) + beta * gms_lhs (left) (xTRMM) More... | |
| virtual void | syrk (BLAS_Cpp::Transp M_trans, value_type alpha, value_type beta, DMatrixSliceSym *sym_lhs) const |
| Perform a rank-k update of a dense symmetric matrix of the form: More... | |
| const VectorSpace & | space_cols () const |
| const VectorSpace & | space_rows () const |
| std::ostream & | output (std::ostream &out) const |
| bool | Mp_StM (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs) const |
| bool | Mp_StMtP (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans) const |
| bool | Mp_StPtM (MatrixOp *mwo_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans, BLAS_Cpp::Transp M_trans) const |
| bool | Mp_StPtMtP (MatrixOp *mwo_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs2, BLAS_Cpp::Transp P_rhs2_trans) const |
| void | Vp_StMtV (VectorMutable *v_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const Vector &v_rhs2, value_type beta) const |
| void | Vp_StMtV (VectorMutable *v_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2, value_type beta) const |
| void | Vp_StPtMtV (VectorMutable *v_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const Vector &v_rhs3, value_type beta) const |
| void | Vp_StPtMtV (VectorMutable *v_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const SpVectorSlice &sv_rhs3, value_type beta) const |
| value_type | transVtMtV (const Vector &v_rhs1, BLAS_Cpp::Transp trans_rhs2, const Vector &v_rhs3) const |
| value_type | transVtMtV (const SpVectorSlice &sv_rhs1, BLAS_Cpp::Transp trans_rhs2, const SpVectorSlice &sv_rhs3) const |
| void | syr2k (BLAS_Cpp::Transp M_trans, value_type alpha, const GenPermMatrixSlice &P1, BLAS_Cpp::Transp P1_trans, const GenPermMatrixSlice &P2, BLAS_Cpp::Transp P2_trans, value_type beta, MatrixSymOp *symwo_lhs) const |
| bool | Mp_StMtM (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const MatrixOp &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| bool | syrk (BLAS_Cpp::Transp M_trans, value_type alpha, value_type beta, MatrixSymOp *sym_lhs) const |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixOp | |
| virtual void | zero_out () |
| M_lhs = 0 : Zero out the matrix. More... | |
| virtual void | Mt_S (value_type alpha) |
| M_lhs *= alpha : Multiply a matrix by a scalar. More... | |
| virtual MatrixOp & | operator= (const MatrixOp &mwo_rhs) |
| M_lhs = mwo_rhs : Virtual assignment operator. More... | |
| const MatNorm | calc_norm (EMatNormType requested_norm_type=MAT_NORM_1, bool allow_replacement=false) const |
| Compute a norm of this matrix. More... | |
| virtual mat_ptr_t | sub_view (const Range1D &row_rng, const Range1D &col_rng) const |
| Create a transient constant sub-matrix view of this matrix (if supported). More... | |
| mat_ptr_t | sub_view (const index_type &rl, const index_type &ru, const index_type &cl, const index_type &cu) const |
Inlined implementation calls this->sub_view(Range1D(rl,ru),Range1D(cl,cu)). More... | |
| virtual mat_ptr_t | perm_view (const Permutation *P_row, const index_type row_part[], int num_row_part, const Permutation *P_col, const index_type col_part[], int num_col_part) const |
Create a permuted view: M_perm = P_row' * M * P_col. More... | |
| virtual mat_ptr_t | perm_view_update (const Permutation *P_row, const index_type row_part[], int num_row_part, const Permutation *P_col, const index_type col_part[], int num_col_part, const mat_ptr_t &perm_view) const |
Reinitialize a permuted view: M_perm = P_row' * M * P_col. More... | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixBase | |
| virtual | ~MatrixBase () |
| Virtual destructor. More... | |
| virtual size_type | rows () const |
| Return the number of rows in the matrix. More... | |
| virtual size_type | cols () const |
| Return the number of columns in the matrix. More... | |
| virtual size_type | nz () const |
| Return the number of nonzero elements in the matrix. More... | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixNonsingSerial | |
| virtual void | V_InvMtV (DVector *v_lhs, BLAS_Cpp::Transp trans_rhs1, const DVectorSlice &vs_rhs2) const |
| v_lhs = inv(op(M_rhs1)) * vs_rhs2 More... | |
| virtual void | V_InvMtV (DVectorSlice *vs_lhs, BLAS_Cpp::Transp trans_rhs1, const DVectorSlice &vs_rhs2) const =0 |
| vs_lhs = inv(op(M_rhs1)) * vs_rhs2 More... | |
| virtual void | V_InvMtV (DVector *v_lhs, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2) const |
| v_lhs = inv(op(M_rhs1)) * sv_rhs2 More... | |
| virtual void | V_InvMtV (DVectorSlice *vs_lhs, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2) const |
| vs_lhs = inv(op(M_rhs1)) * sv_rhs2 More... | |
| virtual value_type | transVtInvMtV (const DVectorSlice &vs_rhs1, BLAS_Cpp::Transp trans_rhs2, const DVectorSlice &vs_rhs3) const |
| result = vs_rhs1' * inv(op(M_rhs2)) * vs_rhs3 More... | |
| virtual value_type | transVtInvMtV (const SpVectorSlice &sv_rhs1, BLAS_Cpp::Transp trans_rhs2, const SpVectorSlice &sv_rhs3) const |
| result = sv_rhs1' * inv(op(M_rhs2)) * sv_rhs3 More... | |
| virtual void | M_StInvMtM (DMatrix *gm_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DMatrixSlice &gms_rhs2, BLAS_Cpp::Transp trans_rhs2) const |
| gm_lhs = alpha * inv(op(M_rhs1)) * op(gms_rhs2) (right) More... | |
| virtual void | M_StInvMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DMatrixSlice &gms_rhs2, BLAS_Cpp::Transp trans_rhs2) const |
| gms_lhs = alpha * inv(op(M_rhs1)) * op(gms_rhs2) (right) More... | |
| virtual void | M_StMtInvM (DMatrix *gm_lhs, value_type alpha, const DMatrixSlice &gms_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2) const |
| gm_lhs = alpha * op(gms_rhs1) * inv(op(M_rhs2)) (left) More... | |
| virtual void | M_StMtInvM (DMatrixSlice *gms_lhs, value_type alpha, const DMatrixSlice &gms_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2) const |
| gms_lhs = alpha * op(gms_rhs1) * inv(op(M_rhs2)) (left) More... | |
| virtual void | M_StInvMtM (DMatrix *gm_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const MatrixOpSerial &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2) const |
| gm_lhs = alpha * inv(op(M_rhs1)) * op(mwo_rhs2) (right) More... | |
| virtual void | M_StInvMtM (DMatrixSlice *gms_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const MatrixOpSerial &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2) const |
| gms_lhs = alpha * inv(op(M_rhs1)) * op(mwo_rhs2) (right) More... | |
| virtual void | M_StMtInvM (DMatrix *gm_lhs, value_type alpha, const MatrixOpSerial &mwo_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2) const |
| gm_lhs = alpha * op(mwo_rhs1) * inv(op(M_rhs2)) (left) More... | |
| virtual void | M_StMtInvM (DMatrixSlice *gms_lhs, value_type alpha, const MatrixOpSerial &mwo_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2) const |
| gms_lhs = alpha * op(mwo_rhs1) * inv(op(M_rhs2)) (left) More... | |
| void | V_InvMtV (VectorMutable *v_lhs, BLAS_Cpp::Transp trans_rhs1, const Vector &v_rhs2) const |
| v_lhs = inv(op(M_rhs1)) * vs_rhs2 More... | |
| void | V_InvMtV (VectorMutable *v_lhs, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2) const |
| v_lhs = inv(op(M_rhs1)) * sv_rhs2 More... | |
| value_type | transVtInvMtV (const Vector &v_rhs1, BLAS_Cpp::Transp trans_rhs2, const Vector &v_rhs3) const |
| result = vs_rhs1' * inv(op(M_rhs2)) * vs_rhs3 More... | |
| void | M_StInvMtM (MatrixOp *m_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const MatrixOp &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2) const |
| m_lhs = alpha * inv(op(M_rhs1)) * op(mwo_rhs2) (right). More... | |
| void | M_StMtInvM (MatrixOp *m_lhs, value_type alpha, const MatrixOp &mwo_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2) const |
| m_lhs = alpha * op(mwo_rhs1) * inv(op(M_rhs2)) (left). More... | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixNonsing | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixOpNonsing | |
| MatrixOpNonsing & | operator= (const MatrixOpNonsing &M) |
| Calls operator=(MatrixOp&) More... | |
| virtual mat_mwons_mut_ptr_t | clone_mwons () |
| Clone the non-const matrix object (if supported). More... | |
| virtual mat_mwons_ptr_t | clone_mwons () const |
| Clone the const matrix object (if supported). More... | |
| const MatNorm | calc_cond_num (EMatNormType requested_norm_type=MAT_NORM_1, bool allow_replacement=false) const |
| Compute an estimate of the condition number of this matrix. More... | |
| mat_mut_ptr_t | clone () |
Returns this->clone_mwons(). More... | |
| mat_ptr_t | clone () const |
Returns this->clone_mwons(). More... | |
| mat_mns_mut_ptr_t | clone_mns () |
Returns this->clone_mwons(). More... | |
| mat_mns_ptr_t | clone_mns () const |
Returns this->clone_mwons(). More... | |
| Protected Member Functions inherited from AbstractLinAlgPack::MatrixOp | |
| virtual bool | Mp_StM (value_type alpha, const MatrixOp &M_rhs, BLAS_Cpp::Transp trans_rhs) |
| M_lhs += alpha * op(mwo_rhs) (BLAS xAXPY). More... | |
| virtual bool | Mp_StMtP (value_type alpha, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans) |
| M_lhs += alpha * op(mwo_rhs) * op(P_rhs). More... | |
| virtual bool | Mp_StPtM (value_type alpha, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans) |
| M_lhs += alpha * op(P_rhs) * op(mwo_rhs). More... | |
| virtual bool | Mp_StPtMtP (value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs2, BLAS_Cpp::Transp P_rhs2_trans) |
| M_lhs += alpha * op(P_rhs1) * op(mwo_rhs) * op(P_rhs2). More... | |
| virtual bool | Mp_StMtM (MatrixOp *mwo_lhs, value_type alpha, const MatrixOp &mwo_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2, value_type beta) const |
| mwo_lhs = alpha * op(mwo_rhs1) * op(M_rhs2) + beta * mwo_lhs (right) (xGEMM) More... | |
| virtual bool | Mp_StMtM (value_type alpha, const MatrixOp &mwo_rhs1, BLAS_Cpp::Transp trans_rhs1, const MatrixOp &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) |
| M_lhs = alpha * op(mwo_rhs1) * op(mwo_rhs2) + beta * mwo_lhs (left) (xGEMM) More... | |
| virtual bool | syrk (const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans, value_type alpha, value_type beta) |
| Perform a rank-k update of a symmetric matrix of the form: More... | |
Abstract base class for all serial nonsingular polymorphic matrices that can be used to compute matrix-vector products and solve for linear systems efficiently.
Definition at line 54 of file AbstractLinAlgPack_MatrixOpNonsingSerial.hpp.
1.8.6