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Updated: June 2017
 
 

zsytrs_rook (3p)

Name

zsytrs_rook - solve a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSYTRF_ROOK

Synopsis

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

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

SUBROUTINE ZSYTRS_ROOK_64(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)

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




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

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

SUBROUTINE SYTRS_ROOK_64(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)

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




C INTERFACE
#include <sunperf.h>

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

void zsytrs_rook_64(char uplo, long n,  long  nrhs,  doublecomplex  *a,
long  lda,  long  *ipiv,  doublecomplex  *b,  long  ldb, long
*info);

Description

Oracle Solaris Studio Performance Library                      zsytrs_rook(3P)



NAME
       zsytrs_rook - solve a system of linear equations A*X = B with a complex
       symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T
       computed by ZSYTRF_ROOK


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

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

       SUBROUTINE ZSYTRS_ROOK_64(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)

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




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

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

       SUBROUTINE SYTRS_ROOK_64(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)

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




   C INTERFACE
       #include <sunperf.h>

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

       void zsytrs_rook_64(char uplo, long n,  long  nrhs,  doublecomplex  *a,
                 long  lda,  long  *ipiv,  doublecomplex  *b,  long  ldb, long
                 *info);



PURPOSE
       zsytrs_rook solves a system of linear equations A*X = B with a  complex
       symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T
       computed by ZSYTRF_ROOK.


ARGUMENTS
       UPLO (input)
                 Specifies whether the details of the factorization are stored
                 as an upper or lower triangular matrix.  = 'U':  Upper trian-
                 gular, form is A = U*D*U**T;
                 = 'L':  Lower triangular, form is A = L*D*L**T.


       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  block  diagonal  matrix  D  and  the multipliers used to
                 obtain the factor U or L as computed by ZSYTRF_ROOK.


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


       IPIV (input)
                 Details of the interchanges and the block structure of  D  as
                 determined by ZSYTRF_ROOK.


       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                   zsytrs_rook(3P)