zsytri (l)  Linux Man Pages
zsytri: computes the inverse of a complex symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSYTRF
Command to display zsytri
manual in Linux: $ man l zsytri
NAME
ZSYTRI  computes the inverse of a complex symmetric indefinite matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSYTRF
SYNOPSIS
 SUBROUTINE ZSYTRI(

UPLO, N, A, LDA, IPIV, WORK, INFO )

CHARACTER
UPLO

INTEGER
INFO, LDA, N

INTEGER
IPIV( * )

COMPLEX*16
A( LDA, * ), WORK( * )
PURPOSE
ZSYTRI computes the inverse of a complex symmetric indefinite matrix
A using the factorization A = U*D*U**T or A = L*D*L**T computed by
ZSYTRF.
ARGUMENTS
 UPLO (input) CHARACTER*1

Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= aqUaq: Upper triangular, form is A = U*D*U**T;
= aqLaq: Lower triangular, form is A = L*D*L**T.
 N (input) INTEGER

The order of the matrix A. N >= 0.
 A (input/output) COMPLEX*16 array, dimension (LDA,N)

On entry, the block diagonal matrix D and the multipliers
used to obtain the factor U or L as computed by ZSYTRF.
On exit, if INFO = 0, the (symmetric) inverse of the original
matrix. If UPLO = aqUaq, the upper triangular part of the
inverse is formed and the part of A below the diagonal is not
referenced; if UPLO = aqLaq the lower triangular part of the
inverse is formed and the part of A above the diagonal is
not referenced.
 LDA (input) INTEGER

The leading dimension of the array A. LDA >= max(1,N).
 IPIV (input) INTEGER array, dimension (N)

Details of the interchanges and the block structure of D
as determined by ZSYTRF.
 WORK (workspace) COMPLEX*16 array, dimension (2*N)

 INFO (output) INTEGER

= 0: successful exit
< 0: if INFO = i, the ith argument had an illegal value
> 0: if INFO = i, D(i,i) = 0; the matrix is singular and its
inverse could not be computed.
Pages related to zsytri
 zsytri (3)
 zsytrf (l)  computes the factorization of a complex symmetric matrix A using the BunchKaufman diagonal pivoting method
 zsytrs (l)  solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSYTRF
 zsytf2 (l)  computes the factorization of a complex symmetric matrix A using the BunchKaufman diagonal pivoting method
 zsycon (l)  estimates the reciprocal of the condition number (in the 1norm) of a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSYTRF
 zsyequb (l)  computes row and column scalings intended to equilibrate a symmetric matrix A and reduce its condition number (with respect to the twonorm)
 zsymm (l)  performs one of the matrixmatrix operations C := alpha*A*B + beta*C,
 zsymv (l)  performs the matrixvector operation y := alpha*A*x + beta*y,