zgbtrs (3p)

Name

zgbtrs - solve a system of linear equations A*X=B, A**T*X=B, or A**H*X=B with a general band matrix A using the LU factorization com- puted by ZGBTRF

Synopsis

SUBROUTINE ZGBTRS(TRANSA, N, KL, KU, NRHS, A, LDA, IPIVOT, B,
LDB, INFO)

CHARACTER*1 TRANSA
DOUBLE COMPLEX A(LDA,*), B(LDB,*)
INTEGER N, KL, KU, NRHS, LDA, LDB, INFO
INTEGER IPIVOT(*)

SUBROUTINE ZGBTRS_64(TRANSA, N, KL, KU, NRHS, A, LDA, IPIVOT,
B, LDB, INFO)

CHARACTER*1 TRANSA
DOUBLE COMPLEX A(LDA,*), B(LDB,*)
INTEGER*8 N, KL, KU, NRHS, LDA, LDB, INFO
INTEGER*8 IPIVOT(*)




F95 INTERFACE
SUBROUTINE GBTRS(TRANSA, N, KL, KU, NRHS, A, LDA,
IPIVOT, B, LDB, INFO)

CHARACTER(LEN=1) :: TRANSA
COMPLEX(8), DIMENSION(:,:) :: A, B
INTEGER :: N, KL, KU, NRHS, LDA, LDB, INFO
INTEGER, DIMENSION(:) :: IPIVOT

SUBROUTINE GBTRS_64(TRANSA, N, KL, KU, NRHS, A, LDA,
IPIVOT, B, LDB, INFO)

CHARACTER(LEN=1) :: TRANSA
COMPLEX(8), DIMENSION(:,:) :: A, B
INTEGER(8) :: N, KL, KU, NRHS, LDA, LDB, INFO
INTEGER(8), DIMENSION(:) :: IPIVOT




C INTERFACE
#include <sunperf.h>

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

void  zgbtrs_64(char  transa, long n, long kl, long ku, long nrhs, dou-
blecomplex *a, long lda, long *ipivot, doublecomplex *b, long
ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           zgbtrs(3P)



NAME
       zgbtrs  -  solve  a  system  of  linear  equations  A*X=B, A**T*X=B, or
       A**H*X=B with a general band matrix A using the LU  factorization  com-
       puted by ZGBTRF


SYNOPSIS
       SUBROUTINE ZGBTRS(TRANSA, N, KL, KU, NRHS, A, LDA, IPIVOT, B,
             LDB, INFO)

       CHARACTER*1 TRANSA
       DOUBLE COMPLEX A(LDA,*), B(LDB,*)
       INTEGER N, KL, KU, NRHS, LDA, LDB, INFO
       INTEGER IPIVOT(*)

       SUBROUTINE ZGBTRS_64(TRANSA, N, KL, KU, NRHS, A, LDA, IPIVOT,
             B, LDB, INFO)

       CHARACTER*1 TRANSA
       DOUBLE COMPLEX A(LDA,*), B(LDB,*)
       INTEGER*8 N, KL, KU, NRHS, LDA, LDB, INFO
       INTEGER*8 IPIVOT(*)




   F95 INTERFACE
       SUBROUTINE GBTRS(TRANSA, N, KL, KU, NRHS, A, LDA,
              IPIVOT, B, LDB, INFO)

       CHARACTER(LEN=1) :: TRANSA
       COMPLEX(8), DIMENSION(:,:) :: A, B
       INTEGER :: N, KL, KU, NRHS, LDA, LDB, INFO
       INTEGER, DIMENSION(:) :: IPIVOT

       SUBROUTINE GBTRS_64(TRANSA, N, KL, KU, NRHS, A, LDA,
              IPIVOT, B, LDB, INFO)

       CHARACTER(LEN=1) :: TRANSA
       COMPLEX(8), DIMENSION(:,:) :: A, B
       INTEGER(8) :: N, KL, KU, NRHS, LDA, LDB, INFO
       INTEGER(8), DIMENSION(:) :: IPIVOT




   C INTERFACE
       #include <sunperf.h>

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

       void  zgbtrs_64(char  transa, long n, long kl, long ku, long nrhs, dou-
                 blecomplex *a, long lda, long *ipivot, doublecomplex *b, long
                 ldb, long *info);



PURPOSE
       zgbtrs solves a system of linear equations
          A  *  X  =  B,   A**T * X = B,  or  A**H * X = B with a general band
       matrix A using the LU factorization computed by ZGBTRF.


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.


       KL (input)
                 The number of subdiagonals within the band of A.  KL >= 0.


       KU (input)
                 The  number of superdiagonals within the band of A.  KU >= 0.


       NRHS (input)
                 The number of right hand sides, i.e., the number  of  columns
                 of the matrix B.  NRHS >= 0.


       A (input) Details of the LU factorization of the band matrix A, as com-
                 puted by ZGBTRF.  U is stored as  an  upper  triangular  band
                 matrix  with  KL+KU  superdiagonals in rows 1 to KL+KU+1, and
                 the multipliers used during the factorization are  stored  in
                 rows KL+KU+2 to 2*KL+KU+1.


       LDA (input)
                 The leading dimension of the array A.  LDA >= 2*KL+KU+1.


       IPIVOT (input)
                 The  pivot  indices; 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                        zgbtrs(3P)