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.TH CUNML2 l "15 June 2000" "LAPACK version 3.0" ")"
.SH NAME
CUNML2 - overwrite the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C',
.SH SYNOPSIS
.TP 19
SUBROUTINE CUNML2(
SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
WORK, INFO )
.TP 19
.ti +4
CHARACTER
SIDE, TRANS
.TP 19
.ti +4
INTEGER
INFO, K, LDA, LDC, M, N
.TP 19
.ti +4
COMPLEX
A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
.SH PURPOSE
CUNML2 overwrites the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C', or C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C',
where Q is a complex unitary matrix defined as the product of k
elementary reflectors
.br
Q = H(k)' . . . H(2)' H(1)'
.br
as returned by CGELQF. Q is of order m if SIDE = 'L' and of order n
if SIDE = 'R'.
.br
.SH ARGUMENTS
.TP 8
SIDE (input) CHARACTER*1
= 'L': apply Q or Q' from the Left
.br
= 'R': apply Q or Q' from the Right
.TP 8
TRANS (input) CHARACTER*1
.br
= 'N': apply Q (No transpose)
.br
= 'C': apply Q' (Conjugate transpose)
.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
K (input) INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = 'L', M >= K >= 0;
if SIDE = 'R', N >= K >= 0.
.TP 8
A (input) COMPLEX array, dimension
(LDA,M) if SIDE = 'L',
(LDA,N) if SIDE = 'R'
The i-th row must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
CGELQF in the first k rows of its array argument A.
A is modified by the routine but restored on exit.
.TP 8
LDA (input) INTEGER
The leading dimension of the array A. LDA >= max(1,K).
.TP 8
TAU (input) COMPLEX array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by CGELQF.
.TP 8
C (input/output) COMPLEX array, dimension (LDC,N)
On entry, the m-by-n matrix C.
On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q.
.TP 8
LDC (input) INTEGER
The leading dimension of the array C. LDC >= max(1,M).
.TP 8
WORK (workspace) COMPLEX array, dimension
(N) if SIDE = 'L',
(M) if SIDE = 'R'
.TP 8
INFO (output) INTEGER
= 0: successful exit
.br
< 0: if INFO = -i, the i-th argument had an illegal value
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