ZSPTRI(3f)

NAME
ZSPTRI - the inverse of a complex symmetric indefinite matrix A in packed storage using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSPTRF

SYNOPSIS

SUBROUTINE ZSPTRI(
    UPLO, N, AP, IPIV, WORK, INFO )

CHARACTER
    UPLO

INTEGER
    INFO, N

INTEGER
    IPIV( * )

COMPLEX*16
    AP( * ), WORK( * )

PURPOSE
ZSPTRI computes the inverse of a complex symmetric indefinite matrix A in packed storage 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.

AP      (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)
    On entry, 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. On exit, if INFO = 0, the (symmetric) inverse of the original matrix, stored as a packed triangular matrix. The j-th column of inv(A) is stored in the array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.

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

WORK    (workspace) COMPLEX*16 array, dimension (N)

INFO    (output) INTEGER
    = 0: successful exit
    < 0: if INFO = -i, the i-th argument had an illegal value
    > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be computed.