SRC/zhetrf_aa_2stage.f(3)  Library Functions Manual  SRC/zhetrf_aa_2stage.f(3)

NAME
       SRC/zhetrf_aa_2stage.f

SYNOPSIS
   Functions/Subroutines
       subroutine zhetrf_aa_2stage (uplo, n, a, lda, tb, ltb, ipiv, ipiv2,
           work, lwork, info)
           ZHETRF_AA_2STAGE

Function/Subroutine Documentation
   subroutine zhetrf_aa_2stage (character uplo, integer n, complex*16,
       dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tb,
       integer ltb, integer, dimension( * ) ipiv, integer, dimension( * )
       ipiv2, complex*16, dimension( * ) work, integer lwork, integer info)
       ZHETRF_AA_2STAGE

       Purpose:


            ZHETRF_AA_2STAGE computes the factorization of a double hermitian matrix A
            using the Aasen's algorithm.  The form of the factorization is

               A = U**H*T*U  or  A = L*T*L**H

            where U (or L) is a product of permutation and unit upper (lower)
            triangular matrices, and T is a hermitian band matrix with the
            bandwidth of NB (NB is internally selected and stored in TB( 1 ), and T is
            LU factorized with partial pivoting).

            This is the blocked version of the algorithm, calling Level 3 BLAS.

       Parameters
           UPLO

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

           N

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

           A

                     A is COMPLEX*16 array, dimension (LDA,N)
                     On entry, the hermitian matrix A.  If UPLO = 'U', the leading
                     N-by-N upper triangular part of A contains the upper
                     triangular part of the matrix A, and the strictly lower
                     triangular part of A is not referenced.  If UPLO = 'L', the
                     leading N-by-N lower triangular part of A contains the lower
                     triangular part of the matrix A, and the strictly upper
                     triangular part of A is not referenced.

                     On exit, L is stored below (or above) the subdiagonal blocks,
                     when UPLO  is 'L' (or 'U').

           LDA

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

           TB

                     TB is COMPLEX*16 array, dimension (LTB)
                     On exit, details of the LU factorization of the band matrix.

           LTB

                     LTB is INTEGER
                     The size of the array TB. LTB >= 4*N, internally
                     used to select NB such that LTB >= (3*NB+1)*N.

                     If LTB = -1, then a workspace query is assumed; the
                     routine only calculates the optimal size of LTB,
                     returns this value as the first entry of TB, and
                     no error message related to LTB is issued by XERBLA.

           IPIV

                     IPIV is INTEGER array, dimension (N)
                     On exit, it contains the details of the interchanges, i.e.,
                     the row and column k of A were interchanged with the
                     row and column IPIV(k).

           IPIV2

                     IPIV2 is INTEGER array, dimension (N)
                     On exit, it contains the details of the interchanges, i.e.,
                     the row and column k of T were interchanged with the
                     row and column IPIV(k).

           WORK

                     WORK is COMPLEX*16 workspace of size LWORK

           LWORK

                     LWORK is INTEGER
                     The size of WORK. LWORK >= N, internally used to select NB
                     such that LWORK >= N*NB.

                     If LWORK = -1, then a workspace query is assumed; the
                     routine only 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 LWORK 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, band LU factorization failed on i-th column

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 158 of file zhetrf_aa_2stage.f.

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

LAPACK                          Version 3.12.0       SRC/zhetrf_aa_2stage.f(3)