# zsptrs.f(3) [centos man page]

```zsptrs.f(3)							      LAPACK							       zsptrs.f(3)

NAME
zsptrs.f -

SYNOPSIS
Functions/Subroutines
subroutine zsptrs (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO)
ZSPTRS

Function/Subroutine Documentation
subroutine zsptrs (characterUPLO, integerN, integerNRHS, complex*16, dimension( * )AP, integer, dimension( * )IPIV, complex*16, dimension( ldb,
* )B, integerLDB, integerINFO)
ZSPTRS

Purpose:

ZSPTRS solves a system of linear equations A*X = B with a complex
symmetric matrix A stored in packed format using the factorization
A = U*D*U**T or A = L*D*L**T computed by ZSPTRF.

Parameters:
UPLO

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**T;
= 'L':  Lower triangular, form is A = L*D*L**T.

N

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

NRHS

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

AP

AP is 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 ZSPTRF, stored as a
packed triangular matrix.

IPIV

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

B

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

LDB

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

INFO

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

Author:
Univ. of Tennessee

Univ. of California Berkeley

NAG Ltd.

Date:
November 2011

Definition at line 116 of file zsptrs.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       zsptrs.f(3)```

## Check Out this Related Man Page

```ZSPTRS(l)								 )								 ZSPTRS(l)

NAME
ZSPTRS  -  solve a system of linear equations A*X = B with a complex symmetric 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, IPIV, B, LDB, INFO )

CHARACTER	  UPLO

INTEGER	  INFO, LDB, N, NRHS

INTEGER	  IPIV( * )

COMPLEX*16	  AP( * ), B( LDB, * )

PURPOSE
ZSPTRS solves a system of linear equations A*X = B with a complex symmetric 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) 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**T;
= 'L':  Lower triangular, form is A = L*D*L**T.

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

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

AP      (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 ZSPTRF, stored as a packed triangu-
lar matrix.

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

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

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

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

LAPACK version 3.0						   15 June 2000 							 ZSPTRS(l)```
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