dgbtrs (3p)

Name

dgbtrs - eral band matrix A using the LU factorization computed by DGBTRF

Synopsis

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

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

SUBROUTINE DGBTRS_64(TRANSA, N, KL, KU, NRHS, A, LDA, IPIVOT,
B, LDB, INFO)

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




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

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

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

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




C INTERFACE
#include <sunperf.h>

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

void dgbtrs_64(char transa, long n, long kl, long ku, long nrhs, double
*a, long lda, long *ipivot, double *b, long ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           dgbtrs(3P)



NAME
       dgbtrs - solve a system of linear equations A*X=B or A'*X=B with a gen-
       eral band matrix A using the LU factorization computed by DGBTRF


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

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

       SUBROUTINE DGBTRS_64(TRANSA, N, KL, KU, NRHS, A, LDA, IPIVOT,
             B, LDB, INFO)

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




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

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

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

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




   C INTERFACE
       #include <sunperf.h>

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

       void dgbtrs_64(char transa, long n, long kl, long ku, long nrhs, double
                 *a, long lda, long *ipivot, double *b, long ldb, long *info);



PURPOSE
       dgbtrs solves a system of linear equations
          A  * X = B  or  A' * X = B with a general band matrix A using the LU
       factorization computed by DGBTRF.


ARGUMENTS
       TRANSA (input)
                 Specifies the form of the system of equations.  = 'N':  A * X
                 = B  (No transpose)
                 = 'T':  A'* X = B  (Transpose)
                 = 'C':  A'* X = B  (Conjugate transpose = 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 DGBTRF.  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                        dgbtrs(3P)