zgstrs.c File Reference

Solves a system using LU factorization. More...

`#include "slu_zdefs.h"`
Include dependency graph for zgstrs.c:

## Functions

void | zusolve (int, int, doublecomplex *, doublecomplex *)
| Solves a dense upper triangular system. More...
void | zlsolve (int, int, doublecomplex *, doublecomplex *)
| Solves a dense UNIT lower triangular system. More...
void | zmatvec (int, int, int, doublecomplex *, doublecomplex *, doublecomplex *)
| Performs a dense matrix-vector multiply: Mxvec = Mxvec + M * vec. More...
void | zgstrs (trans_t trans, SuperMatrix *L, SuperMatrix *U, int *perm_c, int *perm_r, SuperMatrix *B, SuperLUStat_t *stat, int *info)
void | zprint_soln (int n, int nrhs, doublecomplex *soln)

## Detailed Description

Copyright (c) 2003, The Regents of the University of California, through Lawrence Berkeley National Laboratory (subject to receipt of any required approvals from U.S. Dept. of Energy)

All rights reserved.

The source code is distributed under BSD license, see the file License.txt at the top-level directory.

    – SuperLU routine (version 3.0) –
    Univ. of California Berkeley, Xerox Palo Alto Research Center,
    and Lawrence Berkeley National Lab.
    October 15, 2003

    Copyright (c) 1994 by Xerox Corporation.  All rights reserved.

    THIS MATERIAL IS PROVIDED AS IS, WITH ABSOLUTELY NO WARRANTY
    EXPRESSED OR IMPLIED.  ANY USE IS AT YOUR OWN RISK.

    Permission is hereby granted to use or copy this program for any
    purpose, provided the above notices are retained on all copies.
    Permission to modify the code and to distribute modified code is
    granted, provided the above notices are retained, and a notice that
    the code was modified is included with the above copyright notice.

## Function Documentation

void zgstrs | ( | trans_t | trans,
|  | SuperMatrix * | L,
|  | SuperMatrix * | U,
|  | int * | perm_c,
|  | int * | perm_r,
|  | SuperMatrix * | B,
|  | SuperLUStat_t * | stat,
|  | int * | info
| ) |  |

#

    Purpose

    ZGSTRS solves a system of linear equations A*X=B or A'*X=B
    with A sparse and B dense, using the LU factorization computed by
    ZGSTRF.

    See supermatrix.h for the definition of 'SuperMatrix' structure.

#

    Arguments

    trans   (input) trans_t
             Specifies the form of the system of equations:
             = NOTRANS: A * X = B  (No transpose)
             = TRANS:   A'* X = B  (Transpose)
             = CONJ:    A**H * X = B  (Conjugate transpose)

    L       (input) SuperMatrix*
            The factor L from the factorization Pr*A*Pc=L*U as computed by
            zgstrf(). Use compressed row subscripts storage for supernodes,
            i.e., L has types: Stype = SLU_SC, Dtype = SLU_Z, Mtype = SLU_TRLU.

    U       (input) SuperMatrix*
            The factor U from the factorization Pr*A*Pc=L*U as computed by
            zgstrf(). Use column-wise storage scheme, i.e., U has types:
            Stype = SLU_NC, Dtype = SLU_Z, Mtype = SLU_TRU.

    perm_c  (input) int*, dimension (L->ncol)
            Column permutation vector, which defines the
            permutation matrix Pc; perm_c[i] = j means column i of A is
            in position j in A*Pc.

    perm_r  (input) int*, dimension (L->nrow)
            Row permutation vector, which defines the permutation matrix Pr;
            perm_r[i] = j means row i of A is in position j in Pr*A.

    B       (input/output) SuperMatrix*
            B has types: Stype = SLU_DN, Dtype = SLU_Z, Mtype = SLU_GE.
            On entry, the right hand side matrix.
            On exit, the solution matrix if info = 0;

    stat     (output) SuperLUStat_t*
             Record the statistics on runtime and floating-point operation count.
             See util.h for the definition of 'SuperLUStat_t'.

    info    (output) int*
               = 0: successful exit
            < 0: if info = -i, the i-th argument had an illegal value

Here is the call graph for this function:

void zlsolve | ( | int | ldm,
|  | int | ncol,
|  | doublecomplex * | M,
|  | doublecomplex * | rhs
| ) |  |

The unit lower triangular matrix is stored in a 2D array M(1:nrow,1:ncol). The solution will be returned in the rhs vector.

void zmatvec | ( | int | ldm,
|  | int | nrow,
|  | int | ncol,
|  | doublecomplex * | M,
|  | doublecomplex * | vec,
|  | doublecomplex * | Mxvec
| ) |  |

The input matrix is M(1:nrow,1:ncol); The product is returned in Mxvec[].

void zprint_soln | ( | int | n,
|  | int | nrhs,
|  | doublecomplex * | soln
| ) |  |

void zusolve | ( | int | ldm,
|  | int | ncol,
|  | doublecomplex * | M,
|  | doublecomplex * | rhs
| ) |  |

The upper triangular matrix is stored in a 2-dim array M(1:ldm,1:ncol). The solution will be returned in the rhs vector.