zhptrs (3p)

Name

zhptrs - mitian matrix A stored in packed format using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHPTRF

Synopsis

SUBROUTINE ZHPTRS(UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)

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

SUBROUTINE ZHPTRS_64(UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)

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




F95 INTERFACE
SUBROUTINE HPTRS(UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)

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

SUBROUTINE HPTRS_64(UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)

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




C INTERFACE
#include <sunperf.h>

void  zhptrs(char uplo, int n, int nrhs, doublecomplex *a, int *ipivot,
doublecomplex *b, int ldb, int *info);

void zhptrs_64(char uplo, long n, long  nrhs,  doublecomplex  *a,  long
*ipivot, doublecomplex *b, long ldb, long *info);

Description

Oracle Solaris Studio Performance Library                           zhptrs(3P)



NAME
       zhptrs - solve a system of linear equations A*X = B with a complex Her-
       mitian matrix A stored in packed format using  the  factorization  A  =
       U*D*U**H or A = L*D*L**H computed by ZHPTRF


SYNOPSIS
       SUBROUTINE ZHPTRS(UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)

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

       SUBROUTINE ZHPTRS_64(UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)

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




   F95 INTERFACE
       SUBROUTINE HPTRS(UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)

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

       SUBROUTINE HPTRS_64(UPLO, N, NRHS, A, IPIVOT, B, LDB, INFO)

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




   C INTERFACE
       #include <sunperf.h>

       void  zhptrs(char uplo, int n, int nrhs, doublecomplex *a, int *ipivot,
                 doublecomplex *b, int ldb, int *info);

       void zhptrs_64(char uplo, long n, long  nrhs,  doublecomplex  *a,  long
                 *ipivot, doublecomplex *b, long ldb, long *info);



PURPOSE
       zhptrs  solves a system of linear equations A*X = B with a complex Her-
       mitian matrix A stored in packed format using  the  factorization  A  =
       U*D*U**H or A = L*D*L**H computed by ZHPTRF.


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**H;
                 = 'L':  Lower triangular, form is A = L*D*L**H.


       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) COMPLEX*16 array, dimension (N*(N+1)/2)
                 The block diagonal matrix  D  and  the  multipliers  used  to
                 obtain  the  factor U or L as computed by ZHPTRF, stored as a
                 packed triangular matrix.


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


       B (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
                 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                        zhptrs(3P)