zpotrs (3p)

Name

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

Synopsis

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

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

SUBROUTINE ZPOTRS_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO)

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




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

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

SUBROUTINE POTRS_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO)

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




C INTERFACE
#include <sunperf.h>

void zpotrs(char uplo, int n, int nrhs, doublecomplex *a, int lda, dou-
blecomplex *b, int ldb, int *info);

void zpotrs_64(char uplo, long n, long  nrhs,  doublecomplex  *a,  long
lda, doublecomplex *b, long ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           zpotrs(3P)



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


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

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

       SUBROUTINE ZPOTRS_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO)

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




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

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

       SUBROUTINE POTRS_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void zpotrs(char uplo, int n, int nrhs, doublecomplex *a, int lda, dou-
                 blecomplex *b, int ldb, int *info);

       void zpotrs_64(char uplo, long n, long  nrhs,  doublecomplex  *a,  long
                 lda, doublecomplex *b, long ldb, long *info);



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


ARGUMENTS
       UPLO (input)
                 = 'U':  Upper triangle of A is stored;
                 = 'L':  Lower triangle of A is stored.


       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 triangular factor U or L from the Cholesky  factorization
                 A = U**H*U or A = L*L**H, as computed by ZPOTRF.


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


       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                        zpotrs(3P)