zsptrs(3P) Sun Performance Library zsptrs(3P)NAMEzsptrs - solve a system of linear equations A*X = B with a complex sym‐
metric matrix A stored in packed format using the factorization A =
U*D*U**T or A = L*D*L**T computed by ZSPTRF
SYNOPSIS
SUBROUTINE ZSPTRS(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)
CHARACTER * 1 UPLO
DOUBLE COMPLEX AP(*), B(LDB,*)
INTEGER N, NRHS, LDB, INFO
INTEGER IPIVOT(*)
SUBROUTINE ZSPTRS_64(UPLO, N, NRHS, AP, IPIVOT, B, LDB, INFO)
CHARACTER * 1 UPLO
DOUBLE COMPLEX AP(*), B(LDB,*)
INTEGER*8 N, NRHS, LDB, INFO
INTEGER*8 IPIVOT(*)
F95 INTERFACE
SUBROUTINE SPTRS(UPLO, [N], [NRHS], AP, IPIVOT, B, [LDB], [INFO])
CHARACTER(LEN=1) :: UPLO
COMPLEX(8), DIMENSION(:) :: AP
COMPLEX(8), DIMENSION(:,:) :: B
INTEGER :: N, NRHS, LDB, INFO
INTEGER, DIMENSION(:) :: IPIVOT
SUBROUTINE SPTRS_64(UPLO, [N], [NRHS], AP, IPIVOT, B, [LDB], [INFO])
CHARACTER(LEN=1) :: UPLO
COMPLEX(8), DIMENSION(:) :: AP
COMPLEX(8), DIMENSION(:,:) :: B
INTEGER(8) :: N, NRHS, LDB, INFO
INTEGER(8), DIMENSION(:) :: IPIVOT
C INTERFACE
#include <sunperf.h>
void zsptrs(char uplo, int n, int nrhs, doublecomplex *ap, int *ipivot,
doublecomplex *b, int ldb, int *info);
void zsptrs_64(char uplo, long n, long nrhs, doublecomplex *ap, long
*ipivot, doublecomplex *b, long ldb, long *info);
PURPOSEzsptrs solves a system of linear equations A*X = B with a complex sym‐
metric matrix A stored in packed format using the factorization A =
U*D*U**T or A = L*D*L**T computed by ZSPTRF.
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.
AP (input)
Double complex array, dimension (N*(N+1)/2) The block diago‐
nal matrix D and the multipliers used to obtain the factor U
or L as computed by ZSPTRF, 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 ZSPTRF.
B (input/output)
Double complex array, dimension (LDB,NRHS) On entry, the
right hand side matrix B. On exit, the solution 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 zsptrs(3P)