.TH ZUPMTR 1 "November 2006" " LAPACK routine (version 3.1) " " LAPACK routine (version 3.1) "
.SH NAME
ZUPMTR - the general complex M-by-N matrix C with SIDE = \(aqL\(aq SIDE = \(aqR\(aq TRANS = \(aqN\(aq
.SH SYNOPSIS
.TP 19
SUBROUTINE ZUPMTR(
SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK,
INFO )
.TP 19
.ti +4
CHARACTER
SIDE, TRANS, UPLO
.TP 19
.ti +4
INTEGER
INFO, LDC, M, N
.TP 19
.ti +4
COMPLEX*16
AP( * ), C( LDC, * ), TAU( * ), WORK( * )
.SH PURPOSE
ZUPMTR overwrites the general complex M-by-N matrix C with
TRANS = \(aqC\(aq: Q**H * C C * Q**H
.br
where Q is a complex unitary matrix of order nq, with nq = m if
SIDE = \(aqL\(aq and nq = n if SIDE = \(aqR\(aq. Q is defined as the product of
nq-1 elementary reflectors, as returned by ZHPTRD using packed
storage:
.br
if UPLO = \(aqU\(aq, Q = H(nq-1) . . . H(2) H(1);
.br
if UPLO = \(aqL\(aq, Q = H(1) H(2) . . . H(nq-1).
.br
.SH ARGUMENTS
.TP 8
SIDE (input) CHARACTER*1
= \(aqL\(aq: apply Q or Q**H from the Left;
.br
= \(aqR\(aq: apply Q or Q**H from the Right.
.TP 8
UPLO (input) CHARACTER*1
.br
= \(aqU\(aq: Upper triangular packed storage used in previous
call to ZHPTRD;
= \(aqL\(aq: Lower triangular packed storage used in previous
call to ZHPTRD.
.TP 8
TRANS (input) CHARACTER*1
= \(aqN\(aq: No transpose, apply Q;
.br
= \(aqC\(aq: Conjugate transpose, apply Q**H.
.TP 8
M (input) INTEGER
The number of rows of the matrix C. M >= 0.
.TP 8
N (input) INTEGER
The number of columns of the matrix C. N >= 0.
.TP 8
AP (input) COMPLEX*16 array, dimension
(M*(M+1)/2) if SIDE = \(aqL\(aq
(N*(N+1)/2) if SIDE = \(aqR\(aq
The vectors which define the elementary reflectors, as
returned by ZHPTRD. AP is modified by the routine but
restored on exit.
.TP 8
TAU (input) COMPLEX*16 array, dimension (M-1) if SIDE = \(aqL\(aq
or (N-1) if SIDE = \(aqR\(aq
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by ZHPTRD.
.TP 8
C (input/output) COMPLEX*16 array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
.TP 8
LDC (input) INTEGER
The leading dimension of the array C. LDC >= max(1,M).
.TP 8
WORK (workspace) COMPLEX*16 array, dimension
(N) if SIDE = \(aqL\(aq
(M) if SIDE = \(aqR\(aq
.TP 8
INFO (output) INTEGER
= 0: successful exit
.br
< 0: if INFO = -i, the i-th argument had an illegal value