zgetrs

NAME

zgetrs - solve a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by CGETRF

SYNOPSIS

  SUBROUTINE ZGETRS( TRANSA, N, NRHS, A, LDA, IPIVOT, B, LDB, INFO)
  CHARACTER * 1 TRANSA
  DOUBLE COMPLEX A(LDA,*), B(LDB,*)
  INTEGER N, NRHS, LDA, LDB, INFO
  INTEGER IPIVOT(*)
 
  SUBROUTINE ZGETRS_64( TRANSA, N, NRHS, A, LDA, IPIVOT, B, LDB, INFO)
  CHARACTER * 1 TRANSA
  DOUBLE COMPLEX A(LDA,*), B(LDB,*)
  INTEGER*8 N, NRHS, LDA, LDB, INFO
  INTEGER*8 IPIVOT(*)

F95 INTERFACE

  SUBROUTINE GETRS( [TRANSA], [N], [NRHS], A, [LDA], IPIVOT, B, [LDB], 
 *       [INFO])
  CHARACTER(LEN=1) :: TRANSA
  COMPLEX(8), DIMENSION(:,:) :: A, B
  INTEGER :: N, NRHS, LDA, LDB, INFO
  INTEGER, DIMENSION(:) :: IPIVOT
 
  SUBROUTINE GETRS_64( [TRANSA], [N], [NRHS], A, [LDA], IPIVOT, B, 
 *       [LDB], [INFO])
  CHARACTER(LEN=1) :: TRANSA
  COMPLEX(8), DIMENSION(:,:) :: A, B
  INTEGER(8) :: N, NRHS, LDA, LDB, INFO
  INTEGER(8), DIMENSION(:) :: IPIVOT

C INTERFACE

#include <sunperf.h>

void zgetrs(char transa, int n, int nrhs, doublecomplex *a, int lda, int *ipivot, doublecomplex *b, int ldb, int *info);

void zgetrs_64(char transa, long n, long nrhs, doublecomplex *a, long lda, long *ipivot, doublecomplex *b, long ldb, long *info);

PURPOSE

zgetrs solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by CGETRF.

ARGUMENTS

* TRANSA (input): Specifies the form of the system of equations:
* N (input): The order of the matrix A. N >= 0.
* NRHS (input): The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
* A (input): The factors L and U from the factorization A = P*L*U as computed by CGETRF.
* LDA (input): The leading dimension of the array A. LDA >= max(1,N).
* IPIVOT (input): The pivot indices from CGETRF; for 1<=i<=N, row i of the matrix was interchanged with row IPIVOT(i).
* B (input/output): On entry, the right hand side matrix B. On exit, the solution matrix X.
* LDB (input): The leading dimension of the array B. LDB >= max(1,N).
* INFO (output)