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RedHat 9 (Linux i386) - man page for zlarfb (redhat section l)

ZLARFB(l)					)					ZLARFB(l)

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

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 transpose 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 elementary 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 elementary 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 elementary reflectors whose product
	       defines the block reflector).

       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.

       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 representation 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).

LAPACK version 3.0			   15 June 2000 				ZLARFB(l)


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