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Updated: June 2017
 
 

spotrs (3p)

Name

spotrs - solve a system of linear equations A*X = B with a symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by SPOTRF

Synopsis

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

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

SUBROUTINE SPOTRS_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO)

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




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

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

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

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




C INTERFACE
#include <sunperf.h>

void  spotrs(char  uplo,  int n, int nrhs, float *a, int lda, float *b,
int ldb, int *info);

void spotrs_64(char uplo, long n, long nrhs, float *a, long lda,  float
*b, long ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           spotrs(3P)



NAME
       spotrs  -  solve  a system of linear equations A*X = B with a symmetric
       positive definite matrix A using the Cholesky factorization A =  U**T*U
       or A = L*L**T computed by SPOTRF


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

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

       SUBROUTINE SPOTRS_64(UPLO, N, NRHS, A, LDA, B, LDB, INFO)

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




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

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

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

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




   C INTERFACE
       #include <sunperf.h>

       void  spotrs(char  uplo,  int n, int nrhs, float *a, int lda, float *b,
                 int ldb, int *info);

       void spotrs_64(char uplo, long n, long nrhs, float *a, long lda,  float
                 *b, long ldb, long *info);



PURPOSE
       spotrs  solves  a  system  of linear equations A*X = B with a symmetric
       positive definite matrix A using the Cholesky factorization A =  U**T*U
       or A = L*L**T computed by SPOTRF.


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**T*U or A = L*L**T, as computed by SPOTRF.


       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                        spotrs(3P)