zhetri2.f man page

zhetri2.f —

Synopsis

Functions/Subroutines

subroutine zhetri2 (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
ZHETRI2

Function/Subroutine Documentation

subroutine zhetri2 (characterUPLO, integerN, complex*16, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex*16, dimension( * )WORK, integerLWORK, integerINFO)

ZHETRI2

Purpose:

ZHETRI2 computes the inverse of a COMPLEX*16 hermitian indefinite matrix
A using the factorization A = U*D*U**T or A = L*D*L**T computed by
ZHETRF. ZHETRI2 set the LEADING DIMENSION of the workspace
before calling ZHETRI2X that actually computes the inverse.

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.

A

A is COMPLEX*16 array, dimension (LDA,N)
On entry, the NB diagonal matrix D and the multipliers
used to obtain the factor U or L as computed by ZHETRF.

On exit, if INFO = 0, the (symmetric) inverse of the original
matrix.  If UPLO = 'U', the upper triangular part of the
inverse is formed and the part of A below the diagonal is not
referenced; if UPLO = 'L' the lower triangular part of the
inverse is formed and the part of A above the diagonal is
not referenced.

LDA

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

IPIV

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

WORK

WORK is COMPLEX*16 array, dimension (N+NB+1)*(NB+3)

LWORK

LWORK is INTEGER
The dimension of the array WORK.
WORK is size >= (N+NB+1)*(NB+3)
If LDWORK = -1, then a workspace query is assumed; the routine
 calculates:
    - the optimal size of the WORK array, returns
this value as the first entry of the WORK array,
    - and no error message related to LDWORK is issued by XERBLA.

INFO

INFO is 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.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Definition at line 128 of file zhetri2.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

zhetri2(3) is an alias of zhetri2.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK