CUNMR2
Purpose
CUNMR2 overwrites the general complex m-by-n matrix C with
Q * C if SIDE = 'L' and TRANS = 'N', or
Q**H* C if SIDE = 'L' and TRANS = 'C', or
C * Q if SIDE = 'R' and TRANS = 'N', or
C * Q**H if SIDE = 'R' and TRANS = 'C',
where Q is a complex unitary matrix defined as the product of k
elementary reflectors
Q = H(1)**H H(2)**H . . . H(k)**H
as returned by CGERQF. Q is of order m if SIDE = 'L' and of order n
if SIDE = 'R'.
Q * C if SIDE = 'L' and TRANS = 'N', or
Q**H* C if SIDE = 'L' and TRANS = 'C', or
C * Q if SIDE = 'R' and TRANS = 'N', or
C * Q**H if SIDE = 'R' and TRANS = 'C',
where Q is a complex unitary matrix defined as the product of k
elementary reflectors
Q = H(1)**H H(2)**H . . . H(k)**H
as returned by CGERQF. 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**H from the Left
= 'R': apply Q or Q**H from the Right |
TRANS |
(input) CHARACTER*1
= 'N': apply Q (No transpose)
= 'C': apply Q**H (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. |
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 CGERQF 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 array, dimension (K)
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by CGERQF. |
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**H*C or C*Q**H or C*Q. |
LDC |
(input) INTEGER
The leading dimension of the array C. LDC >= max(1,M).
|
WORK |
(workspace) COMPLEX 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 illegal value |