zhetrs_rook (3p)

Name

zhetrs_rook - compute the solution to a system of linear equations A*X=B for Hermitian matrices using factorization obtained with one of the bounded diagonal pivoting methods (max 2 interchanges)

Synopsis

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


CHARACTER*1 UPLO

INTEGER INFO, LDA, LDB, N, NRHS

INTEGER IPIV(*)

COMPLEX A(LDA,*), B(LDB,*)


SUBROUTINE ZHETRS_ROOK_64(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)


CHARACTER*1 UPLO

INTEGER*8 INFO, LDA, LDB, N, NRHS

INTEGER*8 IPIV(*)

COMPLEX A(LDA,*), B(LDB,*)


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


INTEGER :: N, NRHS, LDA, LDB, INFO

CHARACTER(LEN=1) :: UPLO

INTEGER, DIMENSION(:) :: IPIV

COMPLEX(8), DIMENSION(:,:) :: A, B


SUBROUTINE HETRS_ROOK_64(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)


INTEGER(8) :: N, NRHS, LDA, LDB, INFO

CHARACTER(LEN=1) :: UPLO

INTEGER(8), DIMENSION(:) :: IPIV

COMPLEX(8), DIMENSION(:,:) :: A, B


C INTERFACE
#include <sunperf.h>

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


void zhetrs_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                      zhetrs_rook(3P)



NAME
       zhetrs_rook  -  compute  the  solution  to a system of linear equations
       A*X=B for Hermitian matrices using factorization obtained with  one  of
       the bounded diagonal pivoting methods (max 2 interchanges)


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


       CHARACTER*1 UPLO

       INTEGER INFO, LDA, LDB, N, NRHS

       INTEGER IPIV(*)

       COMPLEX A(LDA,*), B(LDB,*)


       SUBROUTINE ZHETRS_ROOK_64(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)


       CHARACTER*1 UPLO

       INTEGER*8 INFO, LDA, LDB, N, NRHS

       INTEGER*8 IPIV(*)

       COMPLEX A(LDA,*), B(LDB,*)


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


       INTEGER :: N, NRHS, LDA, LDB, INFO

       CHARACTER(LEN=1) :: UPLO

       INTEGER, DIMENSION(:) :: IPIV

       COMPLEX(8), DIMENSION(:,:) :: A, B


       SUBROUTINE HETRS_ROOK_64(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)


       INTEGER(8) :: N, NRHS, LDA, LDB, INFO

       CHARACTER(LEN=1) :: UPLO

       INTEGER(8), DIMENSION(:) :: IPIV

       COMPLEX(8), DIMENSION(:,:) :: A, B


   C INTERFACE
       #include <sunperf.h>

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


       void zhetrs_rook_64 (char uplo, long n, long  nrhs,  doublecomplex  *a,
                 long  lda,  long  *ipiv,  doublecomplex  *b,  long  ldb, long
                 *info);


PURPOSE
       zhetrs_rook solves a system of linear equations A*X = B with a  complex
       Hermitian matrix A using the factorization A = U*D*U**H or A = L*D*L**H
       computed by ZHETRF_ROOK.


ARGUMENTS
       UPLO (input)
                 UPLO is CHARACTER*1
                 Specifies whether the details of the factorization are stored
                 as an upper or lower triangular matrix.
                 = 'U':  Upper triangular, form is A = U*D*U**H;
                 = 'L':  Lower triangular, form is A = L*D*L**H.


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


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


       A (input)
                 A is COMPLEX*16 array, dimension (LDA,N)
                 The block diagonal matrix  D  and  the  multipliers  used  to
                 obtain the factor U or L as computed by ZHETRF_ROOK.


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


       IPIV (input)
                 IPIV is INTEGER array, dimension (N)
                 Details  of  the interchanges and the block structure of D as
                 determined by ZHETRF_ROOK.


       B (input/output)
                 B is COMPLEX*16 array, dimension (LDB,NRHS)
                 On entry, the right hand side matrix B.
                 On exit, the solution matrix X.


       LDB (input)
                 LDB is INTEGER
                 The leading dimension of the array B. LDB >= max(1,N).


       INFO (output)
                 INFO is INTEGER
                 = 0:  successful exit;
                 < 0:  if INFO = -i, the i-th argument had an illegal value.




                                  7 Nov 2015                   zhetrs_rook(3P)