.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\&.