ZLARFB - applie a complex block reflector H or its trans
pose H' to a complex M-by-N matrix C, from either the left
or the right
SYNOPSIS
SUBROUTINE ZLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K,
V, LDV, T, LDT, C, LDC, WORK, LDWORK )
CHARACTER DIRECT, SIDE, STOREV, TRANS
INTEGER K, LDC, LDT, LDV, LDWORK, M, N
COMPLEX*16 C( LDC, * ), T( LDT, * ), V( LDV, * ),
WORK( LDWORK, * )
PURPOSE
ZLARFB applies a complex block reflector H or its trans
pose H' to a complex M-by-N matrix C, from either the left
or the right.
ARGUMENTS
SIDE (input) CHARACTER*1
= 'L': apply H or H' from the Left
= 'R': apply H or H' from the Right
TRANS (input) CHARACTER*1
= 'N': apply H (No transpose)
= 'C': apply H' (Conjugate transpose)
DIRECT (input) CHARACTER*1
Indicates how H is formed from a product of ele
mentary reflectors = 'F': H = H(1) H(2) . . . H(k)
(Forward)
= 'B': H = H(k) . . . H(2) H(1) (Backward)
STOREV (input) CHARACTER*1
Indicates how the vectors which define the elemen
tary reflectors are stored:
= 'C': Columnwise
= 'R': Rowwise
M (input) INTEGER
The number of rows of the matrix C.
N (input) INTEGER
The number of columns of the matrix C.
K (input) INTEGER
The order of the matrix T (= the number of elemen
tary reflectors whose product defines the block
reflector).
(LDV,K) if STOREV = 'C' (LDV,M) if STOREV = 'R'
and SIDE = 'L' (LDV,N) if STOREV = 'R' and SIDE =
'R' The matrix V. See further details.
LDV (input) INTEGER
The leading dimension of the array V. If STOREV =
'C' and SIDE = 'L', LDV >= max(1,M); if STOREV =
'C' and SIDE = 'R', LDV >= max(1,N); if STOREV =
'R', LDV >= K.
T (input) COMPLEX*16 array, dimension (LDT,K)
The triangular K-by-K matrix T in the representa
tion of the block reflector.
LDT (input) INTEGER
The leading dimension of the array T. LDT >= K.
C (input/output) COMPLEX*16 array, dimension (LDC,N)
On entry, the M-by-N matrix C. On exit, C is
overwritten by H*C or H'*C or C*H or C*H'.
LDC (input) INTEGER
The leading dimension of the array C. LDC >=
max(1,M).
WORK (workspace) COMPLEX*16 array, dimension (LDWORK,K)
LDWORK (input) INTEGER
The leading dimension of the array WORK. If SIDE
= 'L', LDWORK >= max(1,N); if SIDE = 'R', LDWORK
>= max(1,M).
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