SRC/zhetri_rook.f(3)       Library Functions Manual       SRC/zhetri_rook.f(3)

NAME
       SRC/zhetri_rook.f

SYNOPSIS
   Functions/Subroutines
       subroutine zhetri_rook (uplo, n, a, lda, ipiv, work, info)
           ZHETRI_ROOK computes the inverse of HE matrix using the
           factorization obtained with the bounded Bunch-Kaufman
           (rook")diagonalpivotingmethod.

Function/Subroutine Documentation
   subroutine zhetri_rook (character uplo, integer n, complex*16, dimension(
       lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex*16,
       dimension( * ) work, integer info)
       ZHETRI_ROOK computes the inverse of HE matrix using the factorization
       obtained with the bounded Bunch-Kaufman ("rook") diagonal pivoting
       method.

       Purpose:


           !>
           !> ZHETRI_ROOK computes the inverse of a complex Hermitian indefinite matrix
           !> A using the factorization A = U*D*U**H or A = L*D*L**H computed by
           !> ZHETRF_ROOK.
           !>

       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**H;
           !>          = 'L':  Lower triangular, form is A = L*D*L**H.
           !>

           N

           !>          N is INTEGER
           !>          The order of the matrix A.  N >= 0.
           !>

           A

           !>          A is 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 ZHETRF_ROOK.
           !>
           !>          On exit, if INFO = 0, the (Hermitian) 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 block structure of D
           !>          as determined by ZHETRF_ROOK.
           !>

           WORK

           !>          WORK is COMPLEX*16 array, dimension (N)
           !>

           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.

       Contributors:


           !>
           !>  November 2013,  Igor Kozachenko,
           !>                  Computer Science Division,
           !>                  University of California, Berkeley
           !>
           !>  September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas,
           !>                  School of Mathematics,
           !>                  University of Manchester
           !>

       Definition at line 127 of file zhetri_rook.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0            SRC/zhetri_rook.f(3)