zgetrs (3p)

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 factoriza- tion computed by ZGETRF

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);

Description

Oracle Solaris Studio Performance Library                           zgetrs(3P)



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  factoriza-
       tion computed by ZGETRF


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 ZGETRF.


ARGUMENTS
       TRANSA (input)
                 Specifies the form of the system of equations:
                 = 'N':  A * X = B     (No transpose)
                 = 'T':  A**T * X = B  (Transpose)
                 = 'C':  A**H * X = B  (Conjugate transpose)


       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 com-
                 puted by ZGETRF.


       LDA (input)
                 The leading dimension of the array A.  LDA >= max(1,N).


       IPIVOT (input)
                 The pivot indices from ZGETRF; 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 solu-
                 tion matrix X.


       LDB (input)
                 The leading dimension of the array B.  LDB >= max(1,N).


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




                                  7 Nov 2015                        zgetrs(3P)