# zlahef_aa.f - Man Page

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

NAG Ltd.

Definition at line 142 of file zlahef_aa.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zlahef_aa(3) is an alias of zlahef_aa.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK