Class to represent a block low-rank matrix. More...

#include <BLRMatrix.hpp>

Inheritance diagram for strumpack::BLR::BLRMatrix< scalar_t >:

Collaboration diagram for strumpack::BLR::BLRMatrix< scalar_t >:

Public Member Functions
	BLRMatrix (DenseM_t &A, const std::vector< std::size_t > &rowtiles, const std::vector< std::size_t > &coltiles, const Opts_t &opts)

	BLRMatrix (DenseM_t &A, const std::vector< std::size_t > &tiles, const adm_t &admissible, const Opts_t &opts)

	BLRMatrix (std::size_t m, const std::vector< std::size_t > &rowtiles, std::size_t n, const std::vector< std::size_t > &coltiles)

std::size_t	rows () const override

std::size_t	cols () const override

std::size_t	memory () const override

std::size_t	nonzeros () const override

std::size_t	rank () const override

DenseM_t	dense () const

void	dense (DenseM_t &A) const

void	draw (std::ostream &of, std::size_t roff, std::size_t coff) const

void	print (const std::string &name) const

void	clear ()

void	solve (DenseM_t &x) const override

const std::vector< int > &	piv () const

void	mult (Trans op, const DenseM_t &x, DenseM_t &y) const override

std::size_t	rg2t (std::size_t i) const

std::size_t	cg2t (std::size_t j) const

scalar_t	operator() (std::size_t i, std::size_t j) const

scalar_t &	operator() (std::size_t i, std::size_t j)

DenseM_t	extract (const std::vector< std::size_t > &I, const std::vector< std::size_t > &J) const

void	decompress ()

void	decompress_local_columns (int c_min, int c_max)

void	remove_tiles_before_local_column (int c_min, int c_max)

std::size_t	rowblocks () const

std::size_t	colblocks () const

std::size_t	tilerows (std::size_t i) const

std::size_t	tilecols (std::size_t j) const

std::size_t	tileroff (std::size_t i) const

std::size_t	tilecoff (std::size_t j) const

BLRTile< scalar_t > &	tile (std::size_t i, std::size_t j)

const BLRTile< scalar_t > &	tile (std::size_t i, std::size_t j) const

std::unique_ptr< BLRTile< scalar_t > > &	block (std::size_t i, std::size_t j)

DenseMW_t	tile (DenseM_t &A, std::size_t i, std::size_t j) const

DenseTile< scalar_t > &	tile_dense (std::size_t i, std::size_t j)

const DenseTile< scalar_t > &	tile_dense (std::size_t i, std::size_t j) const

void	compress_tile (std::size_t i, std::size_t j, const Opts_t &opts)

void	fill (scalar_t v)

void	fill_col (scalar_t v, std::size_t k, std::size_t CP)

Public Member Functions inherited from strumpack::structured::StructuredMatrix< scalar_t >
virtual	~StructuredMatrix ()=default

virtual std::size_t	rows () const =0

virtual std::size_t	cols () const =0

virtual std::size_t	memory () const =0

virtual std::size_t	nonzeros () const =0

virtual std::size_t	rank () const =0

virtual std::size_t	local_rows () const

virtual std::size_t	begin_row () const

virtual std::size_t	end_row () const

virtual const std::vector< int > &	dist () const

virtual const std::vector< int > &	rdist () const

virtual const std::vector< int > &	cdist () const

virtual void	mult (Trans op, const DenseMatrix< scalar_t > &x, DenseMatrix< scalar_t > &y) const

void	mult (Trans op, int m, const scalar_t x, int ldx, scalar_t y, int ldy) const

virtual void	mult (Trans op, const DistributedMatrix< scalar_t > &x, DistributedMatrix< scalar_t > &y) const

virtual void	factor ()

virtual void	solve (DenseMatrix< scalar_t > &b) const

virtual void	solve (int nrhs, scalar_t *b, int ldb) const

virtual void	solve (DistributedMatrix< scalar_t > &b) const

virtual void	shift (scalar_t s)

Static Public Member Functions
static void	construct_and_partial_factor (DenseM_t &A11, DenseM_t &A12, DenseM_t &A21, DenseM_t &A22, BLRMatrix< scalar_t > &B11, BLRMatrix< scalar_t > &B12, BLRMatrix< scalar_t > &B21, const std::vector< std::size_t > &tiles1, const std::vector< std::size_t > &tiles2, const adm_t &admissible, const Opts_t &opts)

static void	construct_and_partial_factor (BLRMatrix< scalar_t > &B11, BLRMatrix< scalar_t > &B12, BLRMatrix< scalar_t > &B21, BLRMatrix< scalar_t > &B22, const std::vector< std::size_t > &tiles1, const std::vector< std::size_t > &tiles2, const adm_t &admissible, const Opts_t &opts)

static void	construct_and_partial_factor_col (BLRMatrix< scalar_t > &B11, BLRMatrix< scalar_t > &B12, BLRMatrix< scalar_t > &B21, BLRMatrix< scalar_t > &B22, const std::vector< std::size_t > &tiles1, const std::vector< std::size_t > &tiles2, const adm_t &admissible, const Opts_t &opts, const std::function< void(int, bool, std::size_t)> &blockcol)

static void	construct_and_partial_factor (std::size_t n1, std::size_t n2, const extract_t< scalar_t > &A11, const extract_t< scalar_t > &A12, const extract_t< scalar_t > &A21, const extract_t< scalar_t > &A22, BLRMatrix< scalar_t > &B11, BLRMatrix< scalar_t > &B12, BLRMatrix< scalar_t > &B21, BLRMatrix< scalar_t > &B22, const std::vector< std::size_t > &tiles1, const std::vector< std::size_t > &tiles2, const adm_t &admissible, const BLROptions< scalar_t > &opts)

static void	trsmLNU_gemm (const BLRMatrix< scalar_t > &F1, const BLRMatrix< scalar_t > &F2, DenseM_t &B1, DenseM_t &B2, int task_depth)

static void	gemm_trsmUNN (const BLRMatrix< scalar_t > &F1, const BLRMatrix< scalar_t > &F2, DenseM_t &B1, DenseM_t &B2, int task_depth)

Friends
template<typename T , typename I >
class	BLRExtendAdd

template<typename T >
void	draw (const BLRMatrix< T > &H, const std::string &name)

Detailed Description

template<typename scalar_t>
class strumpack::BLR::BLRMatrix< scalar_t >

Class to represent a block low-rank matrix.

This is for non-symmetric matrices, but can be used with symmetric matrices as well. This class inherits from StructuredMatrix.

Template Parameters

scalar_t Can be float, double, std:complex<float> or std::complex<double>.

See also: structured::StructuredMatrix, BLRMatrixMPI

Member Function Documentation

◆ cols()

template<typename scalar_t >

std::size_t strumpack::BLR::BLRMatrix< scalar_t >::cols ( ) const

inlineoverridevirtual

Get number of columns in this matrix

Implements strumpack::structured::StructuredMatrix< scalar_t >.

◆ memory()

template<typename scalar_t >

std::size_t strumpack::BLR::BLRMatrix< scalar_t >::memory ( ) const

overridevirtual

Return the total amount of memory used by this matrix, in bytes.

Returns: Memory usage in bytes.

See also: nonzeros

Implements strumpack::structured::StructuredMatrix< scalar_t >.

◆ mult()

template<typename scalar_t >

void strumpack::BLR::BLRMatrix< scalar_t >::mult	(	Trans	op,
		const DenseM_t &	x,
		DenseM_t &	y
	)		const

overridevirtual

Multiply this BLR matrix with a dense matrix (vector), ie, compute y = op(this) * x. Overrides from the StructuredMatrix class method.

Parameters

op	Transpose or complex conjugate
x	right hand side matrix to multiply with, from the left, rows(x) == cols(op(this))
y	result of op(this) * b, cols(y) == cols(x), rows(r) = rows(op(this))

Reimplemented from strumpack::structured::StructuredMatrix< scalar_t >.

◆ nonzeros()

template<typename scalar_t >

std::size_t strumpack::BLR::BLRMatrix< scalar_t >::nonzeros ( ) const

overridevirtual

Return the total number of nonzeros stored by this matrix.

Returns: Nonzeros in the matrix representation.

See also: memory

Implements strumpack::structured::StructuredMatrix< scalar_t >.

◆ rank()

template<typename scalar_t >

std::size_t strumpack::BLR::BLRMatrix< scalar_t >::rank ( ) const

overridevirtual

Return the maximum rank of this matrix over all low-rank compressed blocks.

Returns: Maximum rank.

Implements strumpack::structured::StructuredMatrix< scalar_t >.

◆ rows()

template<typename scalar_t >

std::size_t strumpack::BLR::BLRMatrix< scalar_t >::rows ( ) const

inlineoverridevirtual

Get number of rows in this matrix

Implements strumpack::structured::StructuredMatrix< scalar_t >.

◆ solve()

template<typename scalar_t >

void strumpack::BLR::BLRMatrix< scalar_t >::solve ( DenseM_t & b ) const

inlineoverridevirtual

Solve a linear system A*x=b, with this StructuredMatrix (A). This solve is done in-place.

Parameters

b	right-hand side, b.rows() == A.cols(), will be overwritten with the solution x.

Reimplemented from strumpack::structured::StructuredMatrix< scalar_t >.

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

/home/pieterg/LBL/STRUMPACK/src/BLR/BLRMatrix.hpp

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

Member Function Documentation

◆ cols()

◆ memory()

◆ mult()

◆ nonzeros()

◆ rank()

◆ rows()

◆ solve()