ZUNMR3 - 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',
SYNOPSIS
SUBROUTINE ZUNMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU,
C, LDC, WORK, INFO )
CHARACTER SIDE, TRANS
INTEGER INFO, K, L, LDA, LDC, M, N
COMPLEX*16 A( LDA, * ), C( LDC, * ), TAU( * ),
WORK( * )
PURPOSE
ZUNMR3 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 elemen
tary reflectors
Q = H(1) H(2) . . . H(k)
as returned by ZTZRZF. Q is of order m if SIDE = 'L' and
of order n if SIDE = 'R'.
ARGUMENTS
SIDE (input) CHARACTER*1
= 'L': apply Q or Q' from the Left
= 'R': apply Q or Q' from the Right
TRANS (input) CHARACTER*1
= 'N': apply Q (No transpose)
= 'C': apply Q' (Conjugate transpose)
M (input) INTEGER
The number of rows of the matrix C. M >= 0.
N (input) INTEGER
The number of columns of the matrix C. N >= 0.
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.
L (input) INTEGER
The number of columns of the matrix A containing
the meaningful part of the Householder reflectors.
>= 0.
A (input) COMPLEX*16 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 ZTZRZF in the last k rows of its array
argument A. A is modified by the routine but
restored on exit.
LDA (input) INTEGER
The leading dimension of the array A. LDA >=
max(1,K).
TAU (input) COMPLEX*16 array, dimension (K)
TAU(i) must contain the scalar factor of the ele
mentary reflector H(i), as returned by ZTZRZF.
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'*C or C*Q' or C*Q.
LDC (input) INTEGER
The leading dimension of the array C. LDC >=
max(1,M).
WORK (workspace) COMPLEX*16 array, dimension
(N) if SIDE = 'L', (M) if SIDE = 'R'
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an ille
gal value
FURTHER DETAILS
Based on contributions by
A. Petitet, Computer Science Dept., Univ. of Tenn.,
Knoxville, USA
Man(1) output converted with
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