Iterative solvers for dCSRmat matrices. More...

#include <time.h>
#include "fasp.h"
#include "fasp_functs.h"
#include "KryUtil.inl"

Functions
INT	fasp_solver_dcsr_itsolver (dCSRmat A, dvector b, dvector x, precond pc, ITS_param *itparam)
	Solve Ax=b by preconditioned Krylov methods for CSR matrices. More...

INT	fasp_solver_dcsr_itsolver_s (dCSRmat A, dvector b, dvector x, precond pc, ITS_param *itparam)
	Solve Ax=b by preconditioned Krylov methods with safe-net for CSR matrices. More...

INT	fasp_solver_dcsr_krylov (dCSRmat A, dvector b, dvector x, ITS_param itparam)
	Solve Ax=b by standard Krylov methods for CSR matrices. More...

INT	fasp_solver_dcsr_krylov_s (dCSRmat A, dvector b, dvector x, ITS_param itparam)
	Solve Ax=b by standard Krylov methods with safe-net for CSR matrices. More...

INT	fasp_solver_dcsr_krylov_diag (dCSRmat A, dvector b, dvector x, ITS_param itparam)
	Solve Ax=b by diagonal preconditioned Krylov methods. More...

INT	fasp_solver_dcsr_krylov_swz (dCSRmat A, dvector b, dvector x, ITS_param itparam, SWZ_param *schparam)
	Solve Ax=b by overlapping Schwarz Krylov methods. More...

INT	fasp_solver_dcsr_krylov_amg (dCSRmat A, dvector b, dvector x, ITS_param itparam, AMG_param *amgparam)
	Solve Ax=b by AMG preconditioned Krylov methods. More...

INT	fasp_solver_dcsr_krylov_ilu (dCSRmat A, dvector b, dvector x, ITS_param itparam, ILU_param *iluparam)
	Solve Ax=b by ILUs preconditioned Krylov methods. More...

INT	fasp_solver_dcsr_krylov_ilu_M (dCSRmat A, dvector b, dvector x, ITS_param itparam, ILU_param iluparam, dCSRmat M)
	Solve Ax=b by ILUs preconditioned Krylov methods: ILU of M as preconditioner. More...

INT	fasp_solver_dcsr_krylov_amg_nk (dCSRmat A, dvector b, dvector x, ITS_param itparam, AMG_param amgparam, dCSRmat A_nk, dCSRmat P_nk, dCSRmat R_nk)
	Solve Ax=b by AMG preconditioned Krylov methods with an extra near kernel solve. More...

Detailed Description

Iterative solvers for dCSRmat matrices.

Note: This file contains Level-5 (Sol) functions. It requires: AuxMemory.c, AuxMessage.c, AuxParam.c, AuxTiming.c, AuxVector.c, BlaILUSetupCSR.c, BlaSchwarzSetup.c, BlaSparseCheck.c, BlaSparseCSR.c, KryPbcgs.c, KryPcg.c, KryPgcg.c, KryPgcr.c, KryPgmres.c, KryPminres.c, KryPvfgmres.c, KryPvgmres.c, PreAMGSetupRS.c, PreAMGSetupSA.c, PreAMGSetupUA.c, PreCSR.c, and PreDataInit.c

Released under the terms of the GNU Lesser General Public License 3.0 or later.

Definition in file SolCSR.c.

Function Documentation

◆ fasp_solver_dcsr_itsolver()

INT fasp_solver_dcsr_itsolver	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		precond *	pc,
		ITS_param *	itparam
	)

Solve Ax=b by preconditioned Krylov methods for CSR matrices.

Note: This is an abstract interface for iterative methods.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
pc	Pointer to the preconditioning action
itparam	Pointer to parameters for iterative solvers

Returns: Iteration number if converges; ERROR otherwise.

Author: Chensong Zhang

Date: 09/25/2009

Definition at line 56 of file SolCSR.c.

◆ fasp_solver_dcsr_itsolver_s()

INT fasp_solver_dcsr_itsolver_s	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		precond *	pc,
		ITS_param *	itparam
	)

Solve Ax=b by preconditioned Krylov methods with safe-net for CSR matrices.

Note: This is an abstract interface for iterative methods.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
pc	Pointer to the preconditioning action
itparam	Pointer to parameters for iterative solvers

Returns: Iteration number if converges; ERROR otherwise.

Author: Chensong Zhang

Date: 10/21/2017

Definition at line 163 of file SolCSR.c.

◆ fasp_solver_dcsr_krylov()

INT fasp_solver_dcsr_krylov	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam
	)

Solve Ax=b by standard Krylov methods for CSR matrices.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers

Returns: Iteration number if converges; ERROR otherwise.

Author: Chensong Zhang, Shiquan Zhang

Date: 09/25/2009

Definition at line 249 of file SolCSR.c.

◆ fasp_solver_dcsr_krylov_amg()

INT fasp_solver_dcsr_krylov_amg	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam,
		AMG_param *	amgparam
	)

Solve Ax=b by AMG preconditioned Krylov methods.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers
amgparam	Pointer to parameters for AMG methods

Returns: Iteration number if converges; ERROR otherwise.

Author: Chensong Zhang

Date: 09/25/2009

Definition at line 476 of file SolCSR.c.

◆ fasp_solver_dcsr_krylov_amg_nk()

INT fasp_solver_dcsr_krylov_amg_nk	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam,
		AMG_param *	amgparam,
		dCSRmat *	A_nk,
		dCSRmat *	P_nk,
		dCSRmat *	R_nk
	)

Solve Ax=b by AMG preconditioned Krylov methods with an extra near kernel solve.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers
amgparam	Pointer to parameters for AMG methods
A_nk	Pointer to the coeff matrix of near kernel space in dCSRmat format
P_nk	Pointer to the prolongation of near kernel space in dCSRmat format
R_nk	Pointer to the restriction of near kernel space in dCSRmat format

Returns: Iteration number if converges; ERROR otherwise.

Author: Xiaozhe Hu

Date: 05/26/2014

Definition at line 748 of file SolCSR.c.

◆ fasp_solver_dcsr_krylov_diag()

INT fasp_solver_dcsr_krylov_diag	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam
	)

Solve Ax=b by diagonal preconditioned Krylov methods.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers

Returns: Iteration number if converges; ERROR otherwise.

Author: Chensong Zhang, Shiquan Zhang

Date: 09/25/2009

Definition at line 341 of file SolCSR.c.

◆ fasp_solver_dcsr_krylov_ilu()

INT fasp_solver_dcsr_krylov_ilu	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam,
		ILU_param *	iluparam
	)

Solve Ax=b by ILUs preconditioned Krylov methods.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers
iluparam	Pointer to parameters for ILU

Returns: Iteration number if converges; ERROR otherwise.

Author: Chensong Zhang, Shiquan Zhang

Date: 09/25/2009

Definition at line 588 of file SolCSR.c.

◆ fasp_solver_dcsr_krylov_ilu_M()

INT fasp_solver_dcsr_krylov_ilu_M	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam,
		ILU_param *	iluparam,
		dCSRmat *	M
	)

Solve Ax=b by ILUs preconditioned Krylov methods: ILU of M as preconditioner.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers
iluparam	Pointer to parameters for ILU
M	Pointer to the preconditioning matrix in dCSRmat format

Returns: Iteration number if converges; ERROR otherwise.

Author: Xiaozhe Hu

Date: 09/25/2009

Note: This function is specially designed for reservoir simulation. Have not been tested in any other places.

Definition at line 668 of file SolCSR.c.

◆ fasp_solver_dcsr_krylov_s()

INT fasp_solver_dcsr_krylov_s	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam
	)

Solve Ax=b by standard Krylov methods with safe-net for CSR matrices.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers

Returns: Iteration number if converges; ERROR otherwise.

Author: Chensong Zhang

Date: 10/22/2017

Definition at line 295 of file SolCSR.c.

◆ fasp_solver_dcsr_krylov_swz()

INT fasp_solver_dcsr_krylov_swz	(	dCSRmat *	A,
		dvector *	b,
		dvector *	x,
		ITS_param *	itparam,
		SWZ_param *	schparam
	)

Solve Ax=b by overlapping Schwarz Krylov methods.

Parameters

A	Pointer to the coeff matrix in dCSRmat format
b	Pointer to the right hand side in dvector format
x	Pointer to the approx solution in dvector format
itparam	Pointer to parameters for iterative solvers
schparam	Pointer to parameters for Schwarz methods

Returns: Iteration number if converges; ERROR otherwise.

Author: Xiaozhe Hu

Date: 03/21/2011

Modified by Chensong on 07/02/2012: change interface

Definition at line 401 of file SolCSR.c.

Functions

Detailed Description

Released under the terms of the GNU Lesser General Public License 3.0 or later.

Function Documentation

◆ fasp_solver_dcsr_itsolver()

◆ fasp_solver_dcsr_itsolver_s()

◆ fasp_solver_dcsr_krylov()

◆ fasp_solver_dcsr_krylov_amg()

◆ fasp_solver_dcsr_krylov_amg_nk()

◆ fasp_solver_dcsr_krylov_diag()

◆ fasp_solver_dcsr_krylov_ilu()

◆ fasp_solver_dcsr_krylov_ilu_M()

◆ fasp_solver_dcsr_krylov_s()

◆ fasp_solver_dcsr_krylov_swz()