Matrix class for non-singular Hessian matrix augmented with a terms for "Big M" relaxation variables. More...

#include <ConstrainedOptPack_MatrixSymHessianRelaxNonSing.hpp>

Inheritance diagram for ConstrainedOptPack::MatrixSymHessianRelaxNonSing:

Public Types
typedef Teuchos::RCP< const MatrixSymOpNonsing >	G_ptr_t

typedef Teuchos::RCP < VectorMutable >	vec_mut_ptr_t

typedef Teuchos::RCP< const VectorSpace >	space_ptr_t

Public Types inherited from AbstractLinAlgPack::MatrixSymOp
enum	EMatRhsPlaceHolder { DUMMY_ARG }

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 { DUMMY_ARG }

Private Member Functions
void	assert_initialized () const

Private Attributes
space_ptr_t	vec_space_

G_ptr_t	G_ptr_

MatrixSymDiagStd	M_

Constructors/initializers
	MatrixSymHessianRelaxNonSing ()
	Construct uninitialized. More...

	MatrixSymHessianRelaxNonSing (const G_ptr_t &G_ptr, const vec_mut_ptr_t &M_diag_ptr, const space_ptr_t &space=Teuchos::null)
	Constructor (calls `initialize()`). More...

void	initialize (const G_ptr_t &G_ptr, const vec_mut_ptr_t &M_diag_ptr, const space_ptr_t &space=Teuchos::null)
	Initialize the Hessian and the relaxation terms. More...

void	set_uninitialized ()
	Set uninitalized. More...

const G_ptr_t &	G_ptr () const

const vec_mut_ptr_t &	M_diag_ptr () const

const MatrixSymOpNonsing &	G () const

const AbstractLinAlgPack::MatrixSymDiagStd &	M () const

Overridden from MatrixOp
const VectorSpace &	space_cols () const

bool	Mp_StM (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs) 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

Overridden form MatrixSymOp
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

Overridden from MatrixNonsing
void	V_InvMtV (VectorMutable *v_lhs, BLAS_Cpp::Transp trans_rhs1, const Vector &v_rhs2) const

void	V_InvMtV (VectorMutable *v_lhs, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2) const

Additional Inherited Members
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...

virtual std::ostream &	output (std::ostream &out) const
	Virtual output function. 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::MatrixSymNonsing
Public Member Functions inherited from AbstractLinAlgPack::MatrixNonsing
virtual void	V_InvMtV (VectorMutable *v_lhs, BLAS_Cpp::Transp trans_rhs1, const Vector &v_rhs2) const =0
	v_lhs = inv(op(M_rhs1)) * vs_rhs2 More...

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 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...

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...

Detailed Description

Matrix class for non-singular Hessian matrix augmented with a terms for "Big M" relaxation variables.

The matrix that is formed is: {verbatim}

H = [ G ] [ M ] {verbatim} where M is a diagonal matrix made up of entries M_diag.

Definition at line 62 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.hpp.

Member Typedef Documentation

typedef Teuchos::RCP<const MatrixSymOpNonsing> ConstrainedOptPack::MatrixSymHessianRelaxNonSing::G_ptr_t

Definition at line 68 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.hpp.

typedef Teuchos::RCP<VectorMutable> ConstrainedOptPack::MatrixSymHessianRelaxNonSing::vec_mut_ptr_t

Definition at line 70 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.hpp.

typedef Teuchos::RCP<const VectorSpace> ConstrainedOptPack::MatrixSymHessianRelaxNonSing::space_ptr_t

Definition at line 72 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.hpp.

Constructor & Destructor Documentation

ConstrainedOptPack::MatrixSymHessianRelaxNonSing::MatrixSymHessianRelaxNonSing ( )

Construct uninitialized.

Postconditions:

this->rows() == 0
&this->G_ptr().get() == NULL
&this->M_diag_ptr().get() == NULL

Definition at line 149 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

ConstrainedOptPack::MatrixSymHessianRelaxNonSing::MatrixSymHessianRelaxNonSing	(	const G_ptr_t &	G_ptr,
		const vec_mut_ptr_t &	M_diag_ptr,
		const space_ptr_t &	space = `Teuchos::null`
	)

Constructor (calls initialize()).

Definition at line 153 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

Member Function Documentation

void ConstrainedOptPack::MatrixSymHessianRelaxNonSing::initialize	(	const G_ptr_t &	G_ptr,
		const vec_mut_ptr_t &	M_diag_ptr,
		const space_ptr_t &	space = `Teuchos::null`
	)

Initialize the Hessian and the relaxation terms.

Preconditions:

G_ptr.get() != NULL (throw std::invalid_argument)
G_ptr->rows() > 0 (throw std::invalid_argument)
M_diag_ptr.get() != NULL (throw std::invalid_argument)
M_diag_ptr->dim() > 0 (throw std::invalid_argument)

Postconditions:

this->rows() == G_ptr->rows() + M_diag->dim()
&this->G() == G_ptr.get()
&this->M().diag() == M_diag_ptr.get()

Parameters

G_ptr	[in] Smart pointer to matrix that this object will represent. The underlying matrix object `*G_ptr.get()` should not be modified without calling `this->initialize()` again.
M_diag_ptr	[in] Smart pointer to the diagonal for `M`. All of the elements in this vector must be nonzero! This vector is used to initalize the diagonal matrix `M` and this vector should not be modified externally without calling `this->initialize()` again.
space	[in] Smart pointer to the space used for `this->space_cols()` and `this->space_rows()`. If `space.get() == NULL` then `VectorSpaceCompoisteStd` will be used which is constructed from the spaces `G_ptr->space_cols()` and `M_diag_ptr->space()`.

Definition at line 163 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

void ConstrainedOptPack::MatrixSymHessianRelaxNonSing::set_uninitialized ( )

Set uninitalized.

const MatrixSymHessianRelaxNonSing::G_ptr_t & ConstrainedOptPack::MatrixSymHessianRelaxNonSing::G_ptr ( ) const

inline

Definition at line 229 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.hpp.

const MatrixSymHessianRelaxNonSing::vec_mut_ptr_t & ConstrainedOptPack::MatrixSymHessianRelaxNonSing::M_diag_ptr ( ) const

inline

Definition at line 236 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.hpp.

const MatrixSymOpNonsing & ConstrainedOptPack::MatrixSymHessianRelaxNonSing::G ( ) const

inline

Definition at line 243 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.hpp.

const MatrixSymDiagStd & ConstrainedOptPack::MatrixSymHessianRelaxNonSing::M ( ) const

inline

Definition at line 251 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.hpp.

const VectorSpace & ConstrainedOptPack::MatrixSymHessianRelaxNonSing::space_cols ( ) const

virtual

Implements AbstractLinAlgPack::MatrixBase.

Definition at line 196 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

bool ConstrainedOptPack::MatrixSymHessianRelaxNonSing::Mp_StM	(	MatrixOp *	mwo_lhs,
		value_type	alpha,
		BLAS_Cpp::Transp	trans_rhs
	)		const

Definition at line 202 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

void ConstrainedOptPack::MatrixSymHessianRelaxNonSing::Vp_StMtV	(	VectorMutable *	v_lhs,
		value_type	alpha,
		BLAS_Cpp::Transp	trans_rhs1,
		const Vector &	v_rhs2,
		value_type	beta
	)		const

Definition at line 220 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

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

Definition at line 237 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

void ConstrainedOptPack::MatrixSymHessianRelaxNonSing::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

Definition at line 254 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

void ConstrainedOptPack::MatrixSymHessianRelaxNonSing::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

Definition at line 269 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

void ConstrainedOptPack::MatrixSymHessianRelaxNonSing::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

Definition at line 285 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

void ConstrainedOptPack::MatrixSymHessianRelaxNonSing::V_InvMtV	(	VectorMutable *	v_lhs,
		BLAS_Cpp::Transp	trans_rhs1,
		const Vector &	v_rhs2
	)		const

Definition at line 372 of file ConstrainedOptPack_MatrixSymHessianRelaxNonSing.cpp.

void ConstrainedOptPack::MatrixSymHessianRelaxNonSing::V_InvMtV	(	VectorMutable *	v_lhs,
		BLAS_Cpp::Transp	trans_rhs1,
		const SpVectorSlice &	sv_rhs2
	)		const