.TH "SRC/zlahef_aa.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
SRC/zlahef_aa.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBzlahef_aa\fP (uplo, j1, m, nb, a, lda, ipiv, h, ldh, work)"
.br
.RI "\fBZLAHEF_AA\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "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)"

.PP
\fBZLAHEF_AA\fP  
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 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\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIUPLO\fP 
.PP
.nf
          UPLO is CHARACTER*1
          = 'U':  Upper triangle of A is stored;
          = 'L':  Lower triangle of A is stored\&.
.fi
.PP
.br
\fIJ1\fP 
.PP
.nf
          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\&.
.fi
.PP
.br
\fIM\fP 
.PP
.nf
          M is INTEGER
          The dimension of the submatrix\&. M >= 0\&.
.fi
.PP
.br
\fINB\fP 
.PP
.nf
          NB is INTEGER
          The dimension of the panel to be facotorized\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          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\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of the array A\&.  LDA >= max(1,N)\&.
.fi
.PP
.br
\fIIPIV\fP 
.PP
.nf
          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)\&.
.fi
.PP
.br
\fIH\fP 
.PP
.nf
          H is COMPLEX*16 workspace, dimension (LDH,NB)\&.
.fi
.PP
.br
\fILDH\fP 
.PP
.nf
          LDH is INTEGER
          The leading dimension of the workspace H\&. LDH >= max(1,M)\&.
.fi
.PP
.br
\fIWORK\fP 
.PP
.nf
          WORK is COMPLEX*16 workspace, dimension (M)\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB142\fP of file \fBzlahef_aa\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.