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ZLARFB(1) LAPACK auxiliary routine (version 3.2) ZLARFB(1)

NAME

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

SYNOPSIS

SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK )

IMPLICIT NONE 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 transpose H' to a complex M-by-N matrix C, from either the left or the right.

ARGUMENTS

= 'L': apply H or H' from the Left
= 'R': apply H or H' from the Right

= 'N': apply H (No transpose)
= 'C': apply H' (Conjugate transpose)
Indicates how H is formed from a product of elementary reflectors = 'F': H = H(1) H(2) . . . H(k) (Forward)
= 'B': H = H(k) . . . H(2) H(1) (Backward)
Indicates how the vectors which define the elementary reflectors are stored:
= 'C': Columnwise
= 'R': Rowwise
The number of rows of the matrix C.
The number of columns of the matrix C.
The order of the matrix T (= the number of elementary 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.
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.
The triangular K-by-K matrix T in the representation of the block reflector.
The leading dimension of the array T. LDT >= K.
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'.
The leading dimension of the array C. LDC >= max(1,M).
The leading dimension of the array WORK. If SIDE = 'L', LDWORK >= max(1,N); if SIDE = 'R', LDWORK >= max(1,M).
November 2008 LAPACK auxiliary routine (version 3.2)