1ZSPTRS(1)                LAPACK routine (version 3.2)                ZSPTRS(1)
2
3
4

NAME

6       ZSPTRS  -  solves  a  system of linear equations A*X = B with a complex
7       symmetric matrix A stored in packed format using the factorization A  =
8       U*D*U**T or A = L*D*L**T computed by ZSPTRF
9

SYNOPSIS

11       SUBROUTINE ZSPTRS( UPLO, N, NRHS, AP, IPIV, B, LDB, INFO )
12
13           CHARACTER      UPLO
14
15           INTEGER        INFO, LDB, N, NRHS
16
17           INTEGER        IPIV( * )
18
19           COMPLEX*16     AP( * ), B( LDB, * )
20

PURPOSE

22       ZSPTRS  solves a system of linear equations A*X = B with a complex sym‐
23       metric matrix A stored in packed format using  the  factorization  A  =
24       U*D*U**T or A = L*D*L**T computed by ZSPTRF.
25

ARGUMENTS

27       UPLO    (input) CHARACTER*1
28               Specifies  whether  the details of the factorization are stored
29               as an upper or lower triangular matrix.  = 'U':  Upper triangu‐
30               lar, form is A = U*D*U**T;
31               = 'L':  Lower triangular, form is A = L*D*L**T.
32
33       N       (input) INTEGER
34               The order of the matrix A.  N >= 0.
35
36       NRHS    (input) INTEGER
37               The  number of right hand sides, i.e., the number of columns of
38               the matrix B.  NRHS >= 0.
39
40       AP      (input) COMPLEX*16 array, dimension (N*(N+1)/2)
41               The block diagonal matrix D and the multipliers used to  obtain
42               the  factor  U  or  L as computed by ZSPTRF, stored as a packed
43               triangular matrix.
44
45       IPIV    (input) INTEGER array, dimension (N)
46               Details of the interchanges and the block  structure  of  D  as
47               determined by ZSPTRF.
48
49       B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
50               On  entry, the right hand side matrix B.  On exit, the solution
51               matrix X.
52
53       LDB     (input) INTEGER
54               The leading dimension of the array B.  LDB >= max(1,N).
55
56       INFO    (output) INTEGER
57               = 0:  successful exit
58               < 0: if INFO = -i, the i-th argument had an illegal value
59
60
61
62 LAPACK routine (version 3.2)    November 2008                       ZSPTRS(1)
Impressum