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/* ========================================================================== */
/* === umfpack_wsolve ======================================================= */
/* ========================================================================== */
/* -------------------------------------------------------------------------- */
/* UMFPACK Copyright (c) Timothy A. Davis, CISE, */
/* Univ. of Florida. All Rights Reserved. See ../Doc/License for License. */
/* web: http://www.cise.ufl.edu/research/sparse/umfpack */
/* -------------------------------------------------------------------------- */
int umfpack_di_wsolve
(
int sys,
const int Ap [ ],
const int Ai [ ],
const double Ax [ ],
double X [ ],
const double B [ ],
void *Numeric,
const double Control [UMFPACK_CONTROL],
double Info [UMFPACK_INFO],
int Wi [ ],
double W [ ]
) ;
UF_long umfpack_dl_wsolve
(
UF_long sys,
const UF_long Ap [ ],
const UF_long Ai [ ],
const double Ax [ ],
double X [ ],
const double B [ ],
void *Numeric,
const double Control [UMFPACK_CONTROL],
double Info [UMFPACK_INFO],
UF_long Wi [ ],
double W [ ]
) ;
int umfpack_zi_wsolve
(
int sys,
const int Ap [ ],
const int Ai [ ],
const double Ax [ ], const double Az [ ],
double Xx [ ], double Xz [ ],
const double Bx [ ], const double Bz [ ],
void *Numeric,
const double Control [UMFPACK_CONTROL],
double Info [UMFPACK_INFO],
int Wi [ ],
double W [ ]
) ;
UF_long umfpack_zl_wsolve
(
UF_long sys,
const UF_long Ap [ ],
const UF_long Ai [ ],
const double Ax [ ], const double Az [ ],
double Xx [ ], double Xz [ ],
const double Bx [ ], const double Bz [ ],
void *Numeric,
const double Control [UMFPACK_CONTROL],
double Info [UMFPACK_INFO],
UF_long Wi [ ],
double W [ ]
) ;
/*
double int Syntax:
#include "umfpack.h"
void *Numeric ;
int status, *Ap, *Ai, *Wi, sys ;
double *B, *X, *Ax, *W, Info [UMFPACK_INFO], Control [UMFPACK_CONTROL] ;
status = umfpack_di_wsolve (sys, Ap, Ai, Ax, X, B, Numeric,
Control, Info, Wi, W) ;
double UF_long Syntax:
#include "umfpack.h"
void *Numeric ;
UF_long status, *Ap, *Ai, *Wi, sys ;
double *B, *X, *Ax, *W, Info [UMFPACK_INFO], Control [UMFPACK_CONTROL] ;
status = umfpack_dl_wsolve (sys, Ap, Ai, Ax, X, B, Numeric,
Control, Info, Wi, W) ;
complex int Syntax:
#include "umfpack.h"
void *Numeric ;
int status, *Ap, *Ai, *Wi, sys ;
double *Bx, *Bz, *Xx, *Xz, *Ax, *Az, *W,
Info [UMFPACK_INFO], Control [UMFPACK_CONTROL] ;
status = umfpack_zi_wsolve (sys, Ap, Ai, Ax, Az, Xx, Xz, Bx, Bz, Numeric,
Control, Info, Wi, W) ;
complex UF_long Syntax:
#include "umfpack.h"
void *Numeric ;
UF_long status, *Ap, *Ai, *Wi, sys ;
double *Bx, *Bz, *Xx, *Xz, *Ax, *Az, *W,
Info [UMFPACK_INFO], Control [UMFPACK_CONTROL] ;
status = umfpack_zl_wsolve (sys, Ap, Ai, Ax, Az, Xx, Xz, Bx, Bz, Numeric,
Control, Info, Wi, W) ;
packed complex Syntax:
Same as above, except Az, Xz, and Bz are NULL.
Purpose:
Given LU factors computed by umfpack_*_numeric (PAQ=LU) and the
right-hand-side, B, solve a linear system for the solution X. Iterative
refinement is optionally performed. This routine is identical to
umfpack_*_solve, except that it does not dynamically allocate any workspace.
When you have many linear systems to solve, this routine is faster than
umfpack_*_solve, since the workspace (Wi, W) needs to be allocated only
once, prior to calling umfpack_*_wsolve.
Returns:
The status code is returned. See Info [UMFPACK_STATUS], below.
Arguments:
Int sys ; Input argument, not modified.
Int Ap [n+1] ; Input argument, not modified.
Int Ai [nz] ; Input argument, not modified.
double Ax [nz] ; Input argument, not modified.
Size 2*nz in packed complex case.
double X [n] ; Output argument.
double B [n] ; Input argument, not modified.
void *Numeric ; Input argument, not modified.
double Control [UMFPACK_CONTROL] ; Input argument, not modified.
double Info [UMFPACK_INFO] ; Output argument.
for complex versions:
double Az [nz] ; Input argument, not modified, imaginary part
double Xx [n] ; Output argument, real part.
Size 2*n in packed complex case.
double Xz [n] ; Output argument, imaginary part
double Bx [n] ; Input argument, not modified, real part.
Size 2*n in packed complex case.
double Bz [n] ; Input argument, not modified, imaginary part
The above arguments are identical to umfpack_*_solve, except that the
error code UMFPACK_ERROR_out_of_memory will not be returned in
Info [UMFPACK_STATUS], since umfpack_*_wsolve does not allocate any
memory.
Int Wi [n] ; Workspace.
double W [c*n] ; Workspace, where c is defined below.
The Wi and W arguments are workspace used by umfpack_*_wsolve. They
need not be initialized on input, and their contents are undefined on
output. The size of W depends on whether or not iterative refinement is
used, and which version (real or complex) is called. Iterative
refinement is performed if Ax=b, A'x=b, or A.'x=b is being solved,
Control [UMFPACK_IRSTEP] > 0, and A is nonsingular. The size of W is
given below:
no iter. with iter.
refinement refinement
umfpack_di_wsolve n 5*n
umfpack_dl_wsolve n 5*n
umfpack_zi_wsolve 4*n 10*n
umfpack_zl_wsolve 4*n 10*n
*/
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