senk::solver Namespace Reference

Contains solvers. More...

Functions
template<typename T >
void	Bicgstab (T *val, int *cind, int *rptr, T *b, T *x, T nrm_b, int max_iter, int N, T epsilon)
	Non-preconditioned BiCGStab solver. More...
template<typename T >
void	IluBicgstab (T *val, int *cind, int *rptr, T *lval, int *lcind, int *lrptr, T *uval, int *ucind, int *urptr, T *b, T *x, T nrm_b, int max_iter, int N, T epsilon)
	ILU preconditioned BiCGStab solver. More...
template<typename T , int bnl, int bnw>
void	IlubBicgstab (T *val, int *cind, int *rptr, T *blval, int *blcind, int *blrptr, T *buval, int *bucind, int *burptr, T *b, T *x, T nrm_b, int max_iter, int N, T epsilon)
	ILUB preconditioned BiCGStab solver. More...
template<typename T >
void	Gcrm (T *val, int *cind, int *rptr, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The Non-preconditioned GCR(m) solver. More...
template<typename T >
void	IluGcrm (T *val, int *cind, int *rptr, T *lval, int *lcind, int *lrptr, T *uval, int *ucind, int *urptr, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The ILU preconditioned GCR(m) solver. More...
template<typename T , int bnl, int bnw>
void	IlubGcrm (T *val, int *cind, int *rptr, T *blval, int *blcind, int *blrptr, T *buval, int *bucind, int *burptr, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The ILUB preconditioned GCR(m) solver. More...
template<typename T >
void	Gmresm (T *val, int *cind, int *rptr, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The Non-preconditioned GMRES(m) solver. More...
template<typename T , int bnl, int bnw>
void	Gmresm (T *bval, int *bcind, int *brptr, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The Non-preconditioned GMRES(m) solver. More...
template<typename T >
void	IluGmresm (T *val, int *cind, int *rptr, T *lval, int *lcind, int *lrptr, T *uval, int *ucind, int *urptr, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The ILU preconditioned GMRES(m) solver. More...
template<typename T >
void	AmcIluGmresm (T *val, int *cind, int *rptr, T *lval, int *lcind, int *lrptr, T *uval, int *ucind, int *urptr, int *cptr, int cnum, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The ILU preconditioned GMRES(m) solver parallelized by AMC ordering. More...
template<typename T >
void	AbmcIluGmresm (T *val, int *cind, int *rptr, T *lval, int *lcind, int *lrptr, T *uval, int *ucind, int *urptr, int *cptr, int cnum, int bsize, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The ILU preconditioned GMRES(m) solver parallelized by ABMC ordering. More...
template<typename T >
void	BjIluGmresm (T *val, int *cind, int *rptr, T *lval, int *lcind, int *lrptr, T *uval, int *ucind, int *urptr, int bnum, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The ILU preconditioned GMRES(m) solver parallelized by the block Jacobi method. More...
template<typename T , int bnl, int bnw>
void	IlubGmresm (T *val, int *cind, int *rptr, T *blval, int *blcind, int *blrptr, T *buval, int *bucind, int *burptr, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The ILUB preconditioned GMRES(m) solver. More...
template<typename T , int bnl, int bnw>
void	AbmcIlubGmresm (T *val, int *cind, int *rptr, T *blval, int *blcind, int *blrptr, T *buval, int *bucind, int *burptr, int *cptr, int cnum, int bsize, T *b, T *x, T nrm_b, int outer, int m, int N, T epsilon)
	The ILUB preconditioned GMRES(m) solver parallelized by ABMC ordering. More...

Detailed Description

Contains solvers.

Function Documentation

AbmcIlubGmresm()

template<typename T , int bnl, int bnw>

void senk::solver::AbmcIlubGmresm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	blval,
		int *	blcind,
		int *	blrptr,
		T *	buval,
		int *	bucind,
		int *	burptr,
		int *	cptr,
		int	cnum,
		int	bsize,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The ILUB preconditioned GMRES(m) solver parallelized by ABMC ordering.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
blval	values of L in the BCSR format.
blcind	colum positions of blocks of L in the BCSR format.
blrptr	starting positions of row blocks of L in the BCSR format.
buval	values of U in the BCSR format.
bucind	colum positions of blocks of U in the BCSR format.
burptr	starting positions of row blocks of U in the BCSR format.
cptr	The starting index of each color is stored.
cnum	The number of colors.
bsize	The number of rows/columns of the blocks used in ABMC.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 680 of file senk_gmres.hpp.

AbmcIluGmresm()

template<typename T >

void senk::solver::AbmcIluGmresm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	lval,
		int *	lcind,
		int *	lrptr,
		T *	uval,
		int *	ucind,
		int *	urptr,
		int *	cptr,
		int	cnum,
		int	bsize,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The ILU preconditioned GMRES(m) solver parallelized by ABMC ordering.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
lval	Same as val, but for the matrix L.
lcind	Same as cind, but for the matrix L.
lrptr	Same as rptr, but for the matrix L.
uval	Same as val, but for the matrix U.
ucind	Same as cind, but for the matrix U.
urptr	Same as rptr, but for the matrix U.
cptr	The starting index of each color is stored.
cnum	The number of colors.
bsize	The number of rows/columns of the blocks used in ABMC.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 392 of file senk_gmres.hpp.

AmcIluGmresm()

template<typename T >

void senk::solver::AmcIluGmresm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	lval,
		int *	lcind,
		int *	lrptr,
		T *	uval,
		int *	ucind,
		int *	urptr,
		int *	cptr,
		int	cnum,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The ILU preconditioned GMRES(m) solver parallelized by AMC ordering.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
lval	Same as val, but for the matrix L.
lcind	Same as cind, but for the matrix L.
lrptr	Same as rptr, but for the matrix L.
uval	Same as val, but for the matrix U.
ucind	Same as cind, but for the matrix U.
urptr	Same as rptr, but for the matrix U.
cptr	The starting index of each color is stored.
cnum	The number of colors.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 294 of file senk_gmres.hpp.

Bicgstab()

template<typename T >

void senk::solver::Bicgstab	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	max_iter,
		int	N,
		T	epsilon
	)

Non-preconditioned BiCGStab solver.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	col-index array of the CSR storage format.
rptr	row-ptr array of the CSR storage format.
b	The right-hand side vector.
x	The unknown vector.
nrm_b	The 2-norm of b.
max_iter	The maximum number of iterations.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 30 of file senk_bicgstab.hpp.

BjIluGmresm()

template<typename T >

void senk::solver::BjIluGmresm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	lval,
		int *	lcind,
		int *	lrptr,
		T *	uval,
		int *	ucind,
		int *	urptr,
		int	bnum,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The ILU preconditioned GMRES(m) solver parallelized by the block Jacobi method.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
lval	Same as val, but for the matrix L.
lcind	Same as cind, but for the matrix L.
lrptr	Same as rptr, but for the matrix L.
uval	Same as val, but for the matrix U.
ucind	Same as cind, but for the matrix U.
urptr	Same as rptr, but for the matrix U.
bnum	The number of blocks.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 488 of file senk_gmres.hpp.

Gcrm()

template<typename T >

void senk::solver::Gcrm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The Non-preconditioned GCR(m) solver.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 31 of file senk_gcr.hpp.

Gmresm() [1/2]

template<typename T , int bnl, int bnw>

void senk::solver::Gmresm	(	T *	bval,
		int *	bcind,
		int *	brptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The Non-preconditioned GMRES(m) solver.

Template Parameters

T	The type of a coefficient matrix and vectors.
bnl	The number of rows of the block.
bnw	The number of columns of the block.

Parameters

bval	val array of the BCSR storage format.
bcind	column index array of the BCSR storage format.
brptr	row pointer array of the BCSR storage format.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 114 of file senk_gmres.hpp.

Gmresm() [2/2]

template<typename T >

void senk::solver::Gmresm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The Non-preconditioned GMRES(m) solver.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 34 of file senk_gmres.hpp.

IlubBicgstab()

template<typename T , int bnl, int bnw>

void senk::solver::IlubBicgstab	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	blval,
		int *	blcind,
		int *	blrptr,
		T *	buval,
		int *	bucind,
		int *	burptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	max_iter,
		int	N,
		T	epsilon
	)

ILUB preconditioned BiCGStab solver.

Template Parameters

T	The type of a coefficient matrix and vectors.
bnl	The number of rows of the block.
bnw	The number of columns of the block.

Parameters

val	val array of the CSR storage format.
cind	col-index array of the CSR storage format.
rptr	row-ptr array of the CSR storage format.
blval	values of L in the BCSR format.
blcind	colum positions of blocks of L in the BCSR format.
blrptr	starting positions of row blocks of L in the BCSR format.
buval	values of U in the BCSR format.
bucind	colum positions of blocks of U in the BCSR format.
burptr	starting positions of row blocks of U in the BCSR format.
b	The right-hand side vector.
x	The unknown vector.
nrm_b	The 2-norm of b.
max_iter	The maximum number of iterations.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 199 of file senk_bicgstab.hpp.

IlubGcrm()

template<typename T , int bnl, int bnw>

void senk::solver::IlubGcrm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	blval,
		int *	blcind,
		int *	blrptr,
		T *	buval,
		int *	bucind,
		int *	burptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The ILUB preconditioned GCR(m) solver.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
blval	values of L in the BCSR format.
blcind	colum positions of blocks of L in the BCSR format.
blrptr	starting positions of row blocks of L in the BCSR format.
buval	values of U in the BCSR format.
bucind	colum positions of blocks of U in the BCSR format.
burptr	starting positions of row blocks of U in the BCSR format.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 164 of file senk_gcr.hpp.

IlubGmresm()

template<typename T , int bnl, int bnw>

void senk::solver::IlubGmresm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	blval,
		int *	blcind,
		int *	blrptr,
		T *	buval,
		int *	bucind,
		int *	burptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The ILUB preconditioned GMRES(m) solver.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
blval	values of L in the BCSR format.
blcind	colum positions of blocks of L in the BCSR format.
blrptr	starting positions of row blocks of L in the BCSR format.
buval	values of U in the BCSR format.
bucind	colum positions of blocks of U in the BCSR format.
burptr	starting positions of row blocks of U in the BCSR format.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 583 of file senk_gmres.hpp.

IluBicgstab()

template<typename T >

void senk::solver::IluBicgstab	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	lval,
		int *	lcind,
		int *	lrptr,
		T *	uval,
		int *	ucind,
		int *	urptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	max_iter,
		int	N,
		T	epsilon
	)

ILU preconditioned BiCGStab solver.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	col-index array of the CSR storage format.
rptr	row-ptr array of the CSR storage format.
lval	Same as val, but for the matrix L.
lcind	Same as cind, but for the matrix L.
lrptr	Same as rptr, but for the matrix L.
uval	Same as val, but for the matrix U.
ucind	Same as cind, but for the matrix U.
urptr	Same as rptr, but for the matrix U.
b	The right-hand side vector.
x	The unknown vector.
nrm_b	The 2-norm of b.
max_iter	The maximum number of iterations.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 108 of file senk_bicgstab.hpp.

IluGcrm()

template<typename T >

void senk::solver::IluGcrm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	lval,
		int *	lcind,
		int *	lrptr,
		T *	uval,
		int *	ucind,
		int *	urptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The ILU preconditioned GCR(m) solver.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
lval	Same as val, but for the matrix L.
lcind	Same as cind, but for the matrix L.
lrptr	Same as rptr, but for the matrix L.
uval	Same as val, but for the matrix U.
ucind	Same as cind, but for the matrix U.
urptr	Same as rptr, but for the matrix U.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 94 of file senk_gcr.hpp.

IluGmresm()

template<typename T >

void senk::solver::IluGmresm	(	T *	val,
		int *	cind,
		int *	rptr,
		T *	lval,
		int *	lcind,
		int *	lrptr,
		T *	uval,
		int *	ucind,
		int *	urptr,
		T *	b,
		T *	x,
		T	nrm_b,
		int	outer,
		int	m,
		int	N,
		T	epsilon
	)

The ILU preconditioned GMRES(m) solver.

Template Parameters

T	The type of a coefficient matrix and vectors.

Parameters

val	val array of the CSR storage format.
cind	column index array of the CSR storage format.
rptr	row pointer array of the CSR storage format.
lval	Same as val, but for the matrix L.
lcind	Same as cind, but for the matrix L.
lrptr	Same as rptr, but for the matrix L.
uval	Same as val, but for the matrix U.
ucind	Same as cind, but for the matrix U.
urptr	Same as rptr, but for the matrix U.
b	A right-hand side vector.
x	An unknown vector.
nrm_b	The 2-norm of b.
outer	The maximum number of iterations of outer loop.
m	The number of the restart period.
N	The size of the matrix and the vectors.
epsilon	The convergence criterion.

Definition at line 198 of file senk_gmres.hpp.