Matrix class for a matrix vertically concatonated with an identity matrix {abstract}. More...

#include <ConstrainedOptPack_MatrixIdentConcat.hpp>

Inheritance diagram for ConstrainedOptPack::MatrixIdentConcat:

Access to representation.
virtual Range1D	D_rng () const =0

virtual Range1D	I_rng () const =0

virtual value_type	alpha () const =0

virtual const MatrixOp &	D () const =0

virtual BLAS_Cpp::Transp	D_trans () const =0

Overridden from MatrixBase
size_type	rows () const

size_type	cols () const

size_type	nz () const

Overridden from MatrixOp
std::ostream &	output (std::ostream &out) const

void	Vp_StMtV (VectorMutable *vs_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const Vector &vs_rhs2, value_type beta) const

void	Vp_StMtV (VectorMutable *vs_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2, value_type beta) const

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::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...

virtual mat_mut_ptr_t	clone ()
	Clone the non-const matrix object (if supported). More...

virtual mat_ptr_t	clone () const
	Clone the const matrix object (if supported). 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 const VectorSpace &	space_cols () const =0
	Vector space for vectors that are compatible with the columns of the matrix. More...

virtual const VectorSpace &	space_rows () const =0
	Vector space for vectors that are compatible with the rows of the matrix. 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 Vector &v_rhs2, value_type beta) const =0
	v_lhs = alpha * op(M_rhs1) * v_rhs2 + beta * v_lhs (BLAS xGEMV) 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...

Detailed Description

Matrix class for a matrix vertically concatonated with an identity matrix {abstract}.

Represents an interface for a matrix that represents:

M = [ alpha*op(D) ]
    [      I      ]
where:
    D_rng = [1,rows(op(D))]
    I_rng = [rows(op(D))+1,rows(op(D))+cols(op(D))]

or

M = [      I      ]
    [ alpha*op(D) ]
where:
    D_rng = [cols(op(D))+1,rows(op(D))+cols(op(D))]
    I_rng = [1,cols(op(D))]

and I is a op(D).cols() x op(D).cols() indentity matrix and the full matrix M is of order (op(D).rows() + op(D).cols()) x op(D).cols().

Definition at line 72 of file ConstrainedOptPack_MatrixIdentConcat.hpp.

Member Function Documentation

virtual Range1D ConstrainedOptPack::MatrixIdentConcat::D_rng ( ) const

pure virtual

Implemented in ConstrainedOptPack::MatrixIdentConcatStd.

virtual Range1D ConstrainedOptPack::MatrixIdentConcat::I_rng ( ) const

pure virtual

Implemented in ConstrainedOptPack::MatrixIdentConcatStd.

virtual value_type ConstrainedOptPack::MatrixIdentConcat::alpha ( ) const

pure virtual

Implemented in ConstrainedOptPack::MatrixIdentConcatStd.

virtual const MatrixOp& ConstrainedOptPack::MatrixIdentConcat::D ( ) const

pure virtual

Implemented in ConstrainedOptPack::MatrixIdentConcatStd.

virtual BLAS_Cpp::Transp ConstrainedOptPack::MatrixIdentConcat::D_trans ( ) const

pure virtual

Implemented in ConstrainedOptPack::MatrixIdentConcatStd.

size_type ConstrainedOptPack::MatrixIdentConcat::rows ( ) const

virtual

Reimplemented from AbstractLinAlgPack::MatrixBase.

Definition at line 136 of file ConstrainedOptPack_MatrixIdentConcat.cpp.

size_type ConstrainedOptPack::MatrixIdentConcat::cols ( ) const

virtual

Reimplemented from AbstractLinAlgPack::MatrixBase.

Definition at line 141 of file ConstrainedOptPack_MatrixIdentConcat.cpp.

size_type ConstrainedOptPack::MatrixIdentConcat::nz ( ) const

virtual

Reimplemented from AbstractLinAlgPack::MatrixBase.

Definition at line 146 of file ConstrainedOptPack_MatrixIdentConcat.cpp.

std::ostream & ConstrainedOptPack::MatrixIdentConcat::output ( std::ostream & out ) const

virtual

Reimplemented from AbstractLinAlgPack::MatrixOp.

Definition at line 154 of file ConstrainedOptPack_MatrixIdentConcat.cpp.

void ConstrainedOptPack::MatrixIdentConcat::Vp_StMtV	(	VectorMutable *	vs_lhs,
		value_type	alpha,
		BLAS_Cpp::Transp	trans_rhs1,
		const Vector &	vs_rhs2,
		value_type	beta
	)		const

Definition at line 183 of file ConstrainedOptPack_MatrixIdentConcat.cpp.

void ConstrainedOptPack::MatrixIdentConcat::Vp_StMtV	(	VectorMutable *	vs_lhs,
		value_type	alpha,
		BLAS_Cpp::Transp	trans_rhs1,
		const SpVectorSlice &	sv_rhs2,
		value_type	beta
	)		const

Definition at line 192 of file ConstrainedOptPack_MatrixIdentConcat.cpp.

The documentation for this class was generated from the following files:

Access to representation.

Overridden from MatrixBase

Overridden from MatrixOp

Additional Inherited Members

Detailed Description

Member Function Documentation