AbstractLinAlgPack: C++ Interfaces For Vectors, Matrices And Related Linear Algebra Objects
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Abstract base class for all AbstractLinAlgPack::MatrixSymOp
objects implemented in shared memory space.
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#include <AbstractLinAlgPack_MatrixSymOpSerial.hpp>
Public Member Functions | |
virtual void | Mp_StPtMtP (DMatrixSliceSym *sym_lhs, value_type alpha, EMatRhsPlaceHolder dummy_place_holder, const GenPermMatrixSlice &gpms_rhs, BLAS_Cpp::Transp gpms_rhs_trans, value_type beta) const |
sym_lhs = alpha * op(gpms_rhs') * M * op(gpms_rhs) + beta * sym_lhs. More... | |
virtual void | Mp_StMtMtM (DMatrixSliceSym *sym_lhs, value_type alpha, EMatRhsPlaceHolder dummy_place_holder, const MatrixOpSerial &mwo_rhs, BLAS_Cpp::Transp mwo_rhs_trans, value_type beta) const |
sym_lhs = alpha * op(mwo_rhs') * M * op(mwo_rhs). 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 |
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 | nz () const |
Return the number of nonzero elements in the matrix. More... | |
Public Member Functions inherited from AbstractLinAlgPack::MatrixSymOp | |
virtual MatrixSymOp & | operator= (const MatrixSymOp &M) |
Calls operator=(MatrixOp&) More... | |
virtual mat_mswo_mut_ptr_t | clone_mswo () |
Clone the non-const matrix object (if supported). More... | |
virtual mat_mswo_ptr_t | clone_mswo () const |
Clone the const matrix object (if supported). More... | |
size_type | cols () const |
Returns this->rows() More... | |
mat_mut_ptr_t | clone () |
Returns this->clone_mswo() . More... | |
mat_ptr_t | clone () const |
Returns this->clone_mswo() . More... | |
Overridden from MatrixSymOp | |
const VectorSpace & | space_rows () const |
Must be overridden to call MatrixOpSerial::space_rows() More... | |
void | Mp_StPtMtP (MatrixSymOp *symwo_lhs, value_type alpha, EMatRhsPlaceHolder dummy_place_holder, const GenPermMatrixSlice &gpms_rhs, BLAS_Cpp::Transp gpms_rhs_trans, value_type beta) const |
symwo_lhs = alpha * op(gpms_rhs') * M * op(gpms_rhs) + beta * sym_lhs. More... | |
void | Mp_StMtMtM (MatrixSymOp *symwo_lhs, value_type alpha, EMatRhsPlaceHolder dummy_place_holder, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp mwo_rhs_trans, value_type beta) const |
symwo_lhs = alpha * op(mwo_rhs') * M * op(mwo_rhs). More... | |
Abstract base class for all AbstractLinAlgPack::MatrixSymOp
objects implemented in shared memory space.
This base class does a mapping from fully abstract linear algebra to shared memory linear algebra.
These methods should not be called directly but instead should be called through the line non-member functions that are provided.
Definition at line 59 of file AbstractLinAlgPack_MatrixSymOpSerial.hpp.
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sym_lhs = alpha * op(gpms_rhs') * M * op(gpms_rhs) + beta * sym_lhs.
The default operation is based on this->Vp_StMtV(...)
and assumes that the matrix is symmetric. Of course, a more efficient implementation is often needed and the sublcass would like to override this.
Definition at line 56 of file AbstractLinAlgPack_MatrixSymOpSerial.cpp.
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sym_lhs = alpha * op(mwo_rhs') * M * op(mwo_rhs).
The default operation is based on this->Vp_StMtV(...)
and assumes that the matrix is symmetric. Of course, a more efficient implementation is often needed and the sublcass would like to override this.
Reimplemented in AbstractLinAlgPack::MatrixSymDiagSparse.
Definition at line 126 of file AbstractLinAlgPack_MatrixSymOpSerial.cpp.
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Must be overridden to call MatrixOpSerial::space_rows()
Reimplemented from AbstractLinAlgPack::MatrixSymOp.
Definition at line 139 of file AbstractLinAlgPack_MatrixSymOpSerial.cpp.
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symwo_lhs = alpha * op(gpms_rhs') * M * op(gpms_rhs) + beta * sym_lhs.
Reimplemented from AbstractLinAlgPack::MatrixSymOp.
Definition at line 144 of file AbstractLinAlgPack_MatrixSymOpSerial.cpp.
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symwo_lhs = alpha * op(mwo_rhs') * M * op(mwo_rhs).
Reimplemented from AbstractLinAlgPack::MatrixSymOp.
Definition at line 157 of file AbstractLinAlgPack_MatrixSymOpSerial.cpp.