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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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Matrix subclass for a scaled identity matrix. More...
#include <AbstractLinAlgPack_MatrixSymIdent.hpp>
Constructors/initializers | |
| MatrixSymIdent (const VectorSpace::space_ptr_t &vec_space=Teuchos::null, const value_type scale=1.0) | |
Calls this->initialize(). More... | |
| void | initialize (const VectorSpace::space_ptr_t &vec_space, const value_type scale=1.0) |
Access | |
| value_type | scale () const |
Overridden from MatrixBase | |
| size_type | rows () const |
| Returns 0 if not initalized. More... | |
| size_type | nz () const |
Returns this->rows() More... | |
Overridden from MatrixOp | |
| const VectorSpace & | space_cols () const |
| std::ostream & | output (std::ostream &out) const |
| void | Vp_StMtV (VectorMutable *v_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const Vector &v_rhs2, value_type beta) const |
Overridden from MatrixNonsing | |
| void | V_InvMtV (VectorMutable *v_lhs, BLAS_Cpp::Transp trans_rhs1, const Vector &v_rhs2) const |
Additional Inherited Members | |
 Public Types inherited from AbstractLinAlgPack::MatrixSymOp | |
| enum | EMatRhsPlaceHolder |
| 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 Types inherited from AbstractLinAlgPack::MatrixSymNonsing | |
| enum | EMatrixDummyArg |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixSymOpNonsing | |
| MatrixSymOpNonsing & | operator= (const MatrixSymOpNonsing &M) |
| Calls operator=(MatrixOp&) More... | |
| virtual mat_mswons_mut_ptr_t | clone_mswons () |
| Clone the non-const matrix object (if supported). More... | |
| virtual mat_mswons_ptr_t | clone_mswons () const |
| Clone the const matrix object (if supported). More... | |
| mat_mut_ptr_t | clone () |
Returns this->clone_mswons(). More... | |
| mat_ptr_t | clone () const |
Returns this->clone_mswons(). More... | |
| mat_mns_mut_ptr_t | clone_mns () |
Returns this->clone_mswons(). More... | |
| mat_mns_ptr_t | clone_mns () const |
Returns this->clone_mswons(). More... | |
| mat_mswo_mut_ptr_t | clone_mswo () |
Returns this->clone_mswons(). More... | |
| mat_mswo_ptr_t | clone_mswo () const |
Returns this->clone_mswons(). More... | |
| mat_msns_mut_ptr_t | clone_msns () |
Returns this->clone_mswons(). More... | |
| mat_msns_ptr_t | clone_msns () const |
Returns this->clone_mswons(). More... | |
| mat_mwons_mut_ptr_t | clone_mwons () |
Returns this->clone_mswons(). More... | |
| mat_mwons_ptr_t | clone_mwons () const |
Returns this->clone_mswons(). More... | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixSymOp | |
| virtual MatrixSymOp & | operator= (const MatrixSymOp &M) |
| Calls operator=(MatrixOp&) More... | |
| size_type | cols () const |
Returns this->rows() More... | |
| const VectorSpace & | space_rows () const |
| Vector space for vectors that are compatible with the rows of the matrix. More... | |
| 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... | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixSymNonsing | |
| Public Member Functions inherited from AbstractLinAlgPack::MatrixNonsing | |
| virtual 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... | |
| virtual 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... | |
| 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 (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... | |
| virtual 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::MatrixOpNonsing | |
| MatrixOpNonsing & | operator= (const MatrixOpNonsing &M) |
| Calls operator=(MatrixOp&) 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... | |
| Protected Member Functions inherited from AbstractLinAlgPack::MatrixSymOp | |
| virtual void | Mp_StPtMtP (MatrixSymOp *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 (MatrixSymOp *sym_lhs, value_type alpha, EMatRhsPlaceHolder dummy_place_holder, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp mwo_rhs_trans, value_type beta) const |
| sym_lhs = alpha * op(mwo_rhs') * M * op(mwo_rhs) + beta * sym_lhs. More... | |
| Protected Member Functions inherited from AbstractLinAlgPack::MatrixOp | |
| virtual bool | Mp_StM (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs) const |
| mwo_lhs += alpha * op(M_rhs) (BLAS xAXPY). More... | |
| 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 (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans) const |
| mwo_lhs += alpha * op(M_rhs) * op(P_rhs). 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 (MatrixOp *mwo_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans, BLAS_Cpp::Transp M_trans) const |
| mwo_lhs += alpha * op(P_rhs) * op(M_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 (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 |
| mwo_lhs += alpha * op(P_rhs1) * op(M_rhs) * op(P_rhs2). 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 void | Vp_StMtV (VectorMutable *v_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2, value_type beta) const |
| v_lhs = alpha * op(M_rhs1) * sv_rhs2 + beta * v_lhs (BLAS xGEMV) More... | |
| virtual 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 |
| v_lhs = alpha * op(P_rhs1) * op(M_rhs2) * v_rhs3 + beta * v_rhs More... | |
| virtual 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 |
| v_lhs = alpha * op(P_rhs1) * op(M_rhs2) * sv_rhs3 + beta * v_rhs More... | |
| virtual value_type | transVtMtV (const Vector &v_rhs1, BLAS_Cpp::Transp trans_rhs2, const Vector &v_rhs3) const |
| result = v_rhs1' * op(M_rhs2) * v_rhs3 More... | |
| virtual value_type | transVtMtV (const SpVectorSlice &sv_rhs1, BLAS_Cpp::Transp trans_rhs2, const SpVectorSlice &sv_rhs3) const |
| result = sv_rhs1' * op(M_rhs2) * sv_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, MatrixSymOp *symwo_lhs) const |
| Perform a specialized rank-2k update of a dense symmetric matrix of the form: More... | |
| virtual 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 |
| mwo_lhs = alpha * op(M_rhs1) * op(mwo_rhs2) + beta * mwo_lhs (left) (xGEMM). 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 (BLAS_Cpp::Transp M_trans, value_type alpha, value_type beta, MatrixSymOp *sym_lhs) const |
| Perform a rank-k update of a symmetric matrix of the form: 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... | |
| Protected Member Functions inherited from AbstractLinAlgPack::MatrixSymNonsing | |
| virtual void | M_StMtInvMtM (MatrixSymOp *symwo_lhs, value_type alpha, const MatrixOp &mwo, BLAS_Cpp::Transp mwo_trans, EMatrixDummyArg) const |
| symwo_lhs = alpha * op(mwo) * inv(M) * op(mwo)'. More... | |
Matrix subclass for a scaled identity matrix.
More operations will be overridden as they are needed by various applications.
Definition at line 54 of file AbstractLinAlgPack_MatrixSymIdent.hpp.
| AbstractLinAlgPack::MatrixSymIdent::MatrixSymIdent | ( | const VectorSpace::space_ptr_t & | vec_space = Teuchos::null, |
| const value_type | scale = 1.0 |
||
| ) |
Calls this->initialize().
Definition at line 54 of file AbstractLinAlgPack_MatrixSymIdent.cpp.
| void AbstractLinAlgPack::MatrixSymIdent::initialize | ( | const VectorSpace::space_ptr_t & | vec_space, |
| const value_type | scale = 1.0 |
||
| ) |
Definition at line 62 of file AbstractLinAlgPack_MatrixSymIdent.cpp.
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inline |
Definition at line 127 of file AbstractLinAlgPack_MatrixSymIdent.hpp.
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Returns 0 if not initalized.
Reimplemented from AbstractLinAlgPack::MatrixBase.
Definition at line 73 of file AbstractLinAlgPack_MatrixSymIdent.cpp.
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Returns this->rows()
Reimplemented from AbstractLinAlgPack::MatrixBase.
Definition at line 78 of file AbstractLinAlgPack_MatrixSymIdent.cpp.
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Implements AbstractLinAlgPack::MatrixBase.
Definition at line 85 of file AbstractLinAlgPack_MatrixSymIdent.cpp.
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Reimplemented from AbstractLinAlgPack::MatrixOp.
Definition at line 89 of file AbstractLinAlgPack_MatrixSymIdent.cpp.
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Implements AbstractLinAlgPack::MatrixOp.
Definition at line 95 of file AbstractLinAlgPack_MatrixSymIdent.cpp.
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Implements AbstractLinAlgPack::MatrixNonsing.
Definition at line 107 of file AbstractLinAlgPack_MatrixSymIdent.cpp.
1.8.6