NAME

zlarfb - apply 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, ∗ )

#include <sunperf.h>

void zlarfb(char side, char trans, char direct, char storev, int m, int n, int k, doublecomplex ∗v, int ldv, doublecomplex ∗t, int ldt, doublecomplex ∗zc, int ldc) ;

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).

SunOS 5.0  —  Last change: 10 Dec 1998