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

NAME
       SRC/zlahef_aa.f

SYNOPSIS
   Functions/Subroutines
       subroutine zlahef_aa (uplo, j1, m, nb, a, lda, ipiv, h, ldh, work)
           ZLAHEF_AA

Function/Subroutine Documentation
   subroutine zlahef_aa (character uplo, integer j1, integer m, integer nb,
       complex*16, dimension( lda, * ) a, integer lda, integer, dimension( * )
       ipiv, complex*16, dimension( ldh, * ) h, integer ldh, complex*16,
       dimension( * ) work)
       ZLAHEF_AA

       Purpose:


           !>
           !> DLAHEF_AA factorizes a panel of a complex hermitian matrix A using
           !> the Aasen's algorithm. The panel consists of a set of NB rows of A
           !> when UPLO is U, or a set of NB columns when UPLO is L.
           !>
           !> In order to factorize the panel, the Aasen's algorithm requires the
           !> last row, or column, of the previous panel. The first row, or column,
           !> of A is set to be the first row, or column, of an identity matrix,
           !> which is used to factorize the first panel.
           !>
           !> The resulting J-th row of U, or J-th column of L, is stored in the
           !> (J-1)-th row, or column, of A (without the unit diagonals), while
           !> the diagonal and subdiagonal of A are overwritten by those of T.
           !>
           !>

       Parameters
           UPLO

           !>          UPLO is CHARACTER*1
           !>          = 'U':  Upper triangle of A is stored;
           !>          = 'L':  Lower triangle of A is stored.
           !>

           J1

           !>          J1 is INTEGER
           !>          The location of the first row, or column, of the panel
           !>          within the submatrix of A, passed to this routine, e.g.,
           !>          when called by ZHETRF_AA, for the first panel, J1 is 1,
           !>          while for the remaining panels, J1 is 2.
           !>

           M

           !>          M is INTEGER
           !>          The dimension of the submatrix. M >= 0.
           !>

           NB

           !>          NB is INTEGER
           !>          The dimension of the panel to be facotorized.
           !>

           A

           !>          A is COMPLEX*16 array, dimension (LDA,M) for
           !>          the first panel, while dimension (LDA,M+1) for the
           !>          remaining panels.
           !>
           !>          On entry, A contains the last row, or column, of
           !>          the previous panel, and the trailing submatrix of A
           !>          to be factorized, except for the first panel, only
           !>          the panel is passed.
           !>
           !>          On exit, the leading panel is factorized.
           !>

           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 row and column interchanges,
           !>          the row and column k were interchanged with the row and
           !>          column IPIV(k).
           !>

           H

           !>          H is COMPLEX*16 workspace, dimension (LDH,NB).
           !>
           !>

           LDH

           !>          LDH is INTEGER
           !>          The leading dimension of the workspace H. LDH >= max(1,M).
           !>

           WORK

           !>          WORK is COMPLEX*16 workspace, dimension (M).
           !>

       Author
           Univ. of Tennessee


           Univ. of California Berkeley


           Univ. of Colorado Denver


           NAG Ltd.

       Definition at line 142 of file zlahef_aa.f.

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

LAPACK                          Version 3.12.0              SRC/zlahef_aa.f(3)