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.TH ZLARFB l "15 June 2000" "LAPACK version 3.0" ")"
.SH NAME
ZLARFB - applie a complex block reflector H or its transpose H' to a complex M-by-N matrix C, from either the left or the right
.SH SYNOPSIS
.TP 19
SUBROUTINE ZLARFB(
SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
T, LDT, C, LDC, WORK, LDWORK )
.TP 19
.ti +4
CHARACTER
DIRECT, SIDE, STOREV, TRANS
.TP 19
.ti +4
INTEGER
K, LDC, LDT, LDV, LDWORK, M, N
.TP 19
.ti +4
COMPLEX*16
C( LDC, * ), T( LDT, * ), V( LDV, * ),
WORK( LDWORK, * )
.SH PURPOSE
ZLARFB applies a complex block reflector H or its transpose H' to a complex M-by-N matrix C, from either the left or the right.
.SH ARGUMENTS
.TP 8
SIDE (input) CHARACTER*1
= 'L': apply H or H' from the Left
.br
= 'R': apply H or H' from the Right
.TP 8
TRANS (input) CHARACTER*1
.br
= 'N': apply H (No transpose)
.br
= 'C': apply H' (Conjugate transpose)
.TP 8
DIRECT (input) CHARACTER*1
Indicates how H is formed from a product of elementary
reflectors
= 'F': H = H(1) H(2) . . . H(k) (Forward)
.br
= 'B': H = H(k) . . . H(2) H(1) (Backward)
.TP 8
STOREV (input) CHARACTER*1
Indicates how the vectors which define the elementary
reflectors are stored:
.br
= 'C': Columnwise
.br
= 'R': Rowwise
.TP 8
M (input) INTEGER
The number of rows of the matrix C.
.TP 8
N (input) INTEGER
The number of columns of the matrix C.
.TP 8
K (input) INTEGER
The order of the matrix T (= the number of elementary
reflectors whose product defines the block reflector).
.TP 8
V (input) COMPLEX*16 array, dimension
(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.
.TP 8
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.
.TP 8
T (input) COMPLEX*16 array, dimension (LDT,K)
The triangular K-by-K matrix T in the representation of the
block reflector.
.TP 8
LDT (input) INTEGER
The leading dimension of the array T. LDT >= K.
.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 H*C or H'*C or C*H or C*H'.
.TP 8
LDC (input) INTEGER
The leading dimension of the array C. LDC >= max(1,M).
.TP 8
WORK (workspace) COMPLEX*16 array, dimension (LDWORK,K)
.TP 8
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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