chetri2(3)

NAME

chetri2.f –

SYNOPSIS

Functions/Subroutines

subroutine chetri2 (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
CHETRI2

Function/Subroutine Documentation

subroutine chetri2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerLWORK, integerINFO)

CHETRI2

Purpose:

 CHETRI2 computes the inverse of a COMPLEX hermitian indefinite matrix
 A using the factorization A = U*D*U**T or A = L*D*L**T computed by
 CHETRF. CHETRI2 set the LEADING DIMENSION of the workspace
 before calling CHETRI2X 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 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 CHETRF.
          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 CHETRF.

WORK

          WORK is COMPLEX 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 chetri2.f.

Author

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