AbstractLinAlgPack::MatrixSymDiagSparse Class Reference

Abstract base class for all serial symmetric diagonal matrices with significant zeros along the diagonal. More...

#include <AbstractLinAlgPack_MatrixSymDiagSparse.hpp>

Inheritance diagram for AbstractLinAlgPack::MatrixSymDiagSparse:

[legend]List of all members.

To be overridden by subclass
virtual const SpVectorSlice	diag () const =0
	Give access to the sparse diagonal.
Overridden from MatrixBase
size_type	rows () const
Overridden from MatrixOp
std::ostream &	output (std::ostream &out) const
Overridden from MatrixOpSerial
void	Vp_StMtV (DVectorSlice *vs_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const DVectorSlice &vs_rhs2, value_type beta) const
Overridden from MatrixSymOpSerial
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
	Computes the dense symmetric matrix B += a*op(A')*M*op(A).
Overridden from MatrixConvertToSparse
index_type	num_nonzeros (EExtractRegion extract_region, EElementUniqueness element_uniqueness) const
void	coor_extract_nonzeros (EExtractRegion extract_region, EElementUniqueness element_uniqueness, const index_type len_Aval, value_type Aval[], const index_type len_Aij, index_type Arow[], index_type Acol[], const index_type row_offset, const index_type col_offset) const
Public Member Functions
	STANDARD_MEMBER_COMPOSITION_MEMBERS (size_type, num_updates_at_once)
	<<std member="" comp>="">> members for how many updates to compute at once in the operation M_MtMtM(....).
	MatrixSymDiagSparse ()
	The default value of num_updates_at_once == 0 is set to allow this class to determine the appropriate size internally.

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Detailed Description

Abstract base class for all serial symmetric diagonal matrices with significant zeros along the diagonal.

Definition at line 40 of file AbstractLinAlgPack_MatrixSymDiagSparse.hpp.

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Constructor & Destructor Documentation

AbstractLinAlgPack::MatrixSymDiagSparse::MatrixSymDiagSparse

(

)

The default value of num_updates_at_once == 0 is set to allow this class to determine the appropriate size internally.

Definition at line 55 of file AbstractLinAlgPack_MatrixSymDiagSparse.cpp.

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Member Function Documentation

AbstractLinAlgPack::MatrixSymDiagSparse::STANDARD_MEMBER_COMPOSITION_MEMBERS	(	size_type	,
		num_updates_at_once
	)

<<std member="" comp>="">> members for how many updates to compute at once in the operation M_MtMtM(....).

virtual const SpVectorSlice AbstractLinAlgPack::MatrixSymDiagSparse::diag

(

)

const [pure virtual]

Give access to the sparse diagonal.

Implemented in AbstractLinAlgPack::MatrixSymDiagSparseStd.

size_type AbstractLinAlgPack::MatrixSymDiagSparse::rows

(

)

const [virtual]

Reimplemented from AbstractLinAlgPack::MatrixBase.

Definition at line 61 of file AbstractLinAlgPack_MatrixSymDiagSparse.cpp.

std::ostream & AbstractLinAlgPack::MatrixSymDiagSparse::output

(

std::ostream &

out

)

const [virtual]

Reimplemented from AbstractLinAlgPack::MatrixOpSerial.

Definition at line 68 of file AbstractLinAlgPack_MatrixSymDiagSparse.cpp.

void AbstractLinAlgPack::MatrixSymDiagSparse::Vp_StMtV	(	DVectorSlice *	vs_lhs,
		value_type	alpha,
		BLAS_Cpp::Transp	trans_rhs1,
		const DVectorSlice &	vs_rhs2,
		value_type	beta
	)			const [virtual]

Implements AbstractLinAlgPack::MatrixOpSerial.

Definition at line 77 of file AbstractLinAlgPack_MatrixSymDiagSparse.cpp.

void AbstractLinAlgPack::MatrixSymDiagSparse::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 [virtual]

Computes the dense symmetric matrix B += a*op(A')*M*op(A).

This matrix is computed using a set of rank-1 updates.

Runtime ~ O( (m^2)*nz )

Storage ~ O( num_updates_at_once * m )

Where:

• n = A.rows() == this->rows()
• m = A.cols()
• nz = this->diag().nz()

Note that a necessary condition for B to be full rank is for nz >= m.

Also note that this default implementation is only for nonnegative diagonal entries.

Reimplemented from AbstractLinAlgPack::MatrixSymOpSerial.

Definition at line 103 of file AbstractLinAlgPack_MatrixSymDiagSparse.cpp.

index_type AbstractLinAlgPack::MatrixSymDiagSparse::num_nonzeros	(	EExtractRegion	extract_region,
		EElementUniqueness	element_uniqueness
	)			const

Definition at line 237 of file AbstractLinAlgPack_MatrixSymDiagSparse.cpp.

void AbstractLinAlgPack::MatrixSymDiagSparse::coor_extract_nonzeros	(	EExtractRegion	extract_region,
		EElementUniqueness	element_uniqueness,
		const index_type	len_Aval,
		value_type	Aval[],
		const index_type	len_Aij,
		index_type	Arow[],
		index_type	Acol[],
		const index_type	row_offset,
		const index_type	col_offset
	)			const

Definition at line 245 of file AbstractLinAlgPack_MatrixSymDiagSparse.cpp.

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

• AbstractLinAlgPack_MatrixSymDiagSparse.hpp
• AbstractLinAlgPack_MatrixSymDiagSparse.cpp

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