zpbtrs (3p)

Name

zpbtrs - solve a system of linear equations A*X = B with a Hermitian positive definite band matrix A using the Cholesky factorization A = U**H*U or A = L*L**H computed by ZPBTRF

Synopsis

SUBROUTINE ZPBTRS(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO)

CHARACTER*1 UPLO
DOUBLE COMPLEX A(LDA,*), B(LDB,*)
INTEGER N, KD, NRHS, LDA, LDB, INFO

SUBROUTINE ZPBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO)

CHARACTER*1 UPLO
DOUBLE COMPLEX A(LDA,*), B(LDB,*)
INTEGER*8 N, KD, NRHS, LDA, LDB, INFO




F95 INTERFACE
SUBROUTINE PBTRS(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO)

CHARACTER(LEN=1) :: UPLO
COMPLEX(8), DIMENSION(:,:) :: A, B
INTEGER :: N, KD, NRHS, LDA, LDB, INFO

SUBROUTINE PBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB,
INFO)

CHARACTER(LEN=1) :: UPLO
COMPLEX(8), DIMENSION(:,:) :: A, B
INTEGER(8) :: N, KD, NRHS, LDA, LDB, INFO




C INTERFACE
#include <sunperf.h>

void  zpbtrs(char  uplo, int n, int kd, int nrhs, doublecomplex *a, int
lda, doublecomplex *b, int ldb, int *info);

void zpbtrs_64(char uplo, long n, long kd, long nrhs, doublecomplex *a,
long lda, doublecomplex *b, long ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           zpbtrs(3P)



NAME
       zpbtrs  -  solve  a system of linear equations A*X = B with a Hermitian
       positive definite band matrix A using the Cholesky  factorization  A  =
       U**H*U or A = L*L**H computed by ZPBTRF


SYNOPSIS
       SUBROUTINE ZPBTRS(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO)

       CHARACTER*1 UPLO
       DOUBLE COMPLEX A(LDA,*), B(LDB,*)
       INTEGER N, KD, NRHS, LDA, LDB, INFO

       SUBROUTINE ZPBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO)

       CHARACTER*1 UPLO
       DOUBLE COMPLEX A(LDA,*), B(LDB,*)
       INTEGER*8 N, KD, NRHS, LDA, LDB, INFO




   F95 INTERFACE
       SUBROUTINE PBTRS(UPLO, N, KD, NRHS, A, LDA, B, LDB, INFO)

       CHARACTER(LEN=1) :: UPLO
       COMPLEX(8), DIMENSION(:,:) :: A, B
       INTEGER :: N, KD, NRHS, LDA, LDB, INFO

       SUBROUTINE PBTRS_64(UPLO, N, KD, NRHS, A, LDA, B, LDB,
              INFO)

       CHARACTER(LEN=1) :: UPLO
       COMPLEX(8), DIMENSION(:,:) :: A, B
       INTEGER(8) :: N, KD, NRHS, LDA, LDB, INFO




   C INTERFACE
       #include <sunperf.h>

       void  zpbtrs(char  uplo, int n, int kd, int nrhs, doublecomplex *a, int
                 lda, doublecomplex *b, int ldb, int *info);

       void zpbtrs_64(char uplo, long n, long kd, long nrhs, doublecomplex *a,
                 long lda, doublecomplex *b, long ldb, long *info);



PURPOSE
       zpbtrs  solves  a  system  of linear equations A*X = B with a Hermitian
       positive definite band matrix A using the Cholesky  factorization  A  =
       U**H*U or A = L*L**H computed by ZPBTRF.


ARGUMENTS
       UPLO (input)
                 = 'U':  Upper triangular factor stored in A;
                 = 'L':  Lower triangular factor stored in A.


       N (input) The order of the matrix A.  N >= 0.


       KD (input)
                 The  number  of superdiagonals of the matrix A if UPLO = 'U',
                 or the number of subdiagonals if UPLO = 'L'.  KD >= 0.


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


       A (input) The  triangular factor U or L from the Cholesky factorization
                 A = U**H*U or A = L*L**H of the band matrix A, stored in  the
                 first  KD+1  rows of the array.  The j-th column of U or L is
                 stored in the j-th column of the array A as follows: if  UPLO
                 ='U',  A(kd+1+i-j,j)  = U(i,j) for max(1,j-kd)<=i<=j; if UPLO
                 ='L', A(1+i-j,j)    = L(i,j) for j<=i<=min(n,j+kd).


       LDA (input)
                 The leading dimension of the array A.  LDA >= KD+1.


       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                        zpbtrs(3P)