Cholesky solver class. It can use set_tol(), get_tol(), set_reorder(), get_singularity(). More...

#include <monolish_equation.hpp>

Inheritance diagram for monolish::equation::Cholesky< MATRIX, Float >:

Collaboration diagram for monolish::equation::Cholesky< MATRIX, Float >:

Public Member Functions
void	apply_precond (const vector< Float > &r, vector< Float > &z)

void	create_precond (matrix::CRS< Float > &A)

int	get_sigularity ()
	-1 if A is symmetric postive definite. More...

std::string	name () const
	get solver name "monolish::equation::Cholesky" More...

void	set_reorder (int r)
	0: no ordering 1: symrcm, 2: symamd, 3: csrmetisnd is used to reduce zero fill-in. default reorder algorithm is csrmetisnd. More...

int	solve (MATRIX &A, vector< Float > &x, vector< Float > &b)
	solve Ax=b More...

int	solve (MATRIX &A, vector< Float > &xb)

int	solve (matrix::Dense< double > &A, vector< double > &x, vector< double > &b)

int	solve (matrix::Dense< double > &A, vector< double > &XB)

int	solve (matrix::Dense< float > &A, vector< float > &x, vector< float > &b)

int	solve (matrix::Dense< float > &A, vector< float > &XB)

Public Member Functions inherited from monolish::solver::solver< MATRIX, Float >
initvec_scheme	get_initvec_scheme () const
	get handling scheme of initial vector handling More...

int	get_lib () const
	get library option More...

size_t	get_maxiter () const
	get maxiter More...

size_t	get_miniter () const
	get miniter More...

bool	get_print_rhistory () const
	get print rhistory status More...

size_t	get_residual_method () const
	get residual method(default=0) More...

double	get_tol () const
	get tolerance More...

template<class PRECOND >
void	set_apply_precond (PRECOND &p)
	set precondition apply fucntion More...

template<class PRECOND >
void	set_create_precond (PRECOND &p)
	set precondition create fucntion More...

void	set_initvec_scheme (initvec_scheme scheme)
	set how to handle initial vector More...

void	set_lib (int l)
	set library option (to change library, monolish, cusolver, etc.) More...

void	set_maxiter (size_t max)
	set max iter. (default = SIZE_MAX) More...

void	set_miniter (size_t min)
	set min iter. (default = 0) More...

void	set_print_rhistory (bool flag)
	print rhistory to standart out true/false. (default = false) More...

void	set_residual_method (size_t r)
	set residual method (default=0) More...

void	set_rhistory_filename (std::string file)
	rhistory filename More...

void	set_tol (double t)
	set tolerance (default:1.0e-8) More...

	solver ()
	create solver class More...

	~solver ()
	delete solver class More...

Private Member Functions
int	cusolver_Cholesky (MATRIX &A, vector< double > &x, vector< double > &b)

int	cusolver_Cholesky (MATRIX &A, vector< float > &x, vector< float > &b)

int	cusolver_Cholesky (matrix::CRS< double > &A, vector< double > &x, vector< double > &b)

int	cusolver_Cholesky (matrix::CRS< float > &A, vector< float > &x, vector< float > &b)

Private Attributes
int	lib = 1

int	reorder = 3

int	singularity

Additional Inherited Members
Protected Member Functions inherited from monolish::solver::solver< MATRIX, Float >
Float	get_residual (vector< Float > &x)

Protected Attributes inherited from monolish::solver::solver< MATRIX, Float >
initvec_scheme	initvecscheme = initvec_scheme::RANDOM

int	lib = 0

size_t	maxiter = SIZE_MAX

size_t	miniter = 0

precondition< MATRIX, Float >	precond

bool	print_rhistory = false

size_t	resid_method = 0

std::string	rhistory_file

std::ostream *	rhistory_stream

double	tol = 1.0e-8

Detailed Description

template<typename MATRIX, typename Float>
class monolish::equation::Cholesky< MATRIX, Float >

Cholesky solver class. It can use set_tol(), get_tol(), set_reorder(), get_singularity().

Note

attribute:

solver : true
preconditioner : false

input / archtecture

Dense / Intel : true
Dense / NVIDIA : false
Dense / OSS : true
Sparse / Intel : false
Sparse / NVIDIA : true
Sparse / OSS : false

Definition at line 307 of file monolish_equation.hpp.

Member Function Documentation

◆ apply_precond()

template<typename MATRIX , typename Float >

void monolish::equation::Cholesky< MATRIX, Float >::apply_precond	(	const vector< Float > &	r,
		vector< Float > &	z
	)

inline

Definition at line 337 of file monolish_equation.hpp.

◆ create_precond()

template<typename MATRIX , typename Float >

void monolish::equation::Cholesky< MATRIX, Float >::create_precond ( matrix::CRS< Float > & A )

inline

Definition at line 334 of file monolish_equation.hpp.

◆ cusolver_Cholesky() [1/4]

template<typename MATRIX , typename Float >

int monolish::equation::Cholesky< MATRIX, Float >::cusolver_Cholesky	(	MATRIX &	A,
		vector< double > &	x,
		vector< double > &	b
	)

private

◆ cusolver_Cholesky() [2/4]

template<typename MATRIX , typename Float >

int monolish::equation::Cholesky< MATRIX, Float >::cusolver_Cholesky	(	MATRIX &	A,
		vector< float > &	x,
		vector< float > &	b
	)

private

◆ cusolver_Cholesky() [3/4]

int monolish::equation::Cholesky< matrix::CRS< double >, double >::cusolver_Cholesky	(	matrix::CRS< double > &	A,
		vector< double > &	x,
		vector< double > &	b
	)

private

Definition at line 12 of file cholesky_cusolver_gpu.cpp.

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◆ cusolver_Cholesky() [4/4]

int monolish::equation::Cholesky< matrix::CRS< float >, float >::cusolver_Cholesky	(	matrix::CRS< float > &	A,
		vector< float > &	x,
		vector< float > &	b
	)

private

Definition at line 57 of file cholesky_cusolver_gpu.cpp.

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◆ get_sigularity()

template<typename MATRIX , typename Float >

int monolish::equation::Cholesky< MATRIX, Float >::get_sigularity ( )

inline

-1 if A is symmetric postive definite.

Definition at line 326 of file monolish_equation.hpp.

◆ name()

template<typename MATRIX , typename Float >

std::string monolish::equation::Cholesky< MATRIX, Float >::name ( ) const

inline

get solver name "monolish::equation::Cholesky"

Note

# of computation: 1
Multi-threading: false
GPU acceleration: false

Definition at line 348 of file monolish_equation.hpp.

◆ set_reorder()

template<typename MATRIX , typename Float >

void monolish::equation::Cholesky< MATRIX, Float >::set_reorder ( int r )

inline

0: no ordering 1: symrcm, 2: symamd, 3: csrmetisnd is used to reduce zero fill-in. default reorder algorithm is csrmetisnd.

Definition at line 321 of file monolish_equation.hpp.

◆ solve() [1/6]

template<typename MATRIX , typename Float >

int monolish::equation::Cholesky< MATRIX, Float >::solve	(	MATRIX &	A,
		vector< Float > &	x,
		vector< Float > &	b
	)

solve Ax=b

◆ solve() [2/6]

template<typename MATRIX , typename Float >

int monolish::equation::Cholesky< MATRIX, Float >::solve	(	MATRIX &	A,
		vector< Float > &	xb
	)

◆ solve() [3/6]

int monolish::equation::Cholesky< matrix::Dense< double >, double >::solve	(	matrix::Dense< double > &	A,
		vector< double > &	x,
		vector< double > &	b
	)

Definition at line 109 of file cholesky.cpp.

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◆ solve() [4/6]

int monolish::equation::Cholesky< matrix::Dense< double >, double >::solve	(	matrix::Dense< double > &	A,
		vector< double > &	XB
	)

Definition at line 40 of file cholesky.cpp.

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◆ solve() [5/6]

int monolish::equation::Cholesky< matrix::Dense< float >, float >::solve	(	matrix::Dense< float > &	A,
		vector< float > &	x,
		vector< float > &	b
	)

Definition at line 143 of file cholesky.cpp.

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◆ solve() [6/6]

int monolish::equation::Cholesky< matrix::Dense< float >, float >::solve	(	matrix::Dense< float > &	A,
		vector< float > &	XB
	)

Definition at line 76 of file cholesky.cpp.

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Member Data Documentation

◆ lib

template<typename MATRIX , typename Float >

int monolish::equation::Cholesky< MATRIX, Float >::lib = 1

private

Definition at line 309 of file monolish_equation.hpp.

◆ reorder

template<typename MATRIX , typename Float >

int monolish::equation::Cholesky< MATRIX, Float >::reorder = 3

private

Definition at line 313 of file monolish_equation.hpp.

◆ singularity

template<typename MATRIX , typename Float >

int monolish::equation::Cholesky< MATRIX, Float >::singularity

private

Definition at line 312 of file monolish_equation.hpp.

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

monolish_equation.hpp

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

template<typename MATRIX, typename Float> class monolish::equation::Cholesky< MATRIX, Float >

Member Function Documentation

◆ apply_precond()

◆ create_precond()

◆ cusolver_Cholesky() [1/4]

◆ cusolver_Cholesky() [2/4]

◆ cusolver_Cholesky() [3/4]

◆ cusolver_Cholesky() [4/4]

◆ get_sigularity()

◆ name()

◆ set_reorder()

◆ solve() [1/6]

◆ solve() [2/6]

◆ solve() [3/6]

◆ solve() [4/6]

◆ solve() [5/6]

◆ solve() [6/6]

Member Data Documentation

◆ lib

◆ reorder

◆ singularity

template<typename MATRIX, typename Float>
class monolish::equation::Cholesky< MATRIX, Float >