zhptrs(3P) Sun Performance Library zhptrs(3P)NAMEzhptrs - 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);
PURPOSEzhptrs 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
6 Mar 2009 zhptrs(3P)
