NAME¶

ZLARF - applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right

SYNOPSIS¶

SUBROUTINE ZLARF(

SIDE, M, N, V, INCV, TAU, C, LDC, WORK )

IMPLICIT NONE CHARACTER SIDE INTEGER INCV, LDC, M, N COMPLEX*16 TAU COMPLEX*16 C( LDC, * ), V( * ), WORK( * )

PURPOSE¶

ZLARF applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right. H is represented in the form
H = I - tau * v * v'
where tau is a complex scalar and v is a complex vector.
If tau = 0, then H is taken to be the unit matrix.
To apply H' (the conjugate transpose of H), supply conjg(tau) instead tau.

ARGUMENTS¶

SIDE (input) CHARACTER*1

= 'L': form H * C
= 'R': form C * H

M (input) INTEGER

The number of rows of the matrix C.

N (input) INTEGER

The number of columns of the matrix C.

V (input) COMPLEX*16 array, dimension

(1 + (M-1)*abs(INCV)) if SIDE = 'L' or (1 + (N-1)*abs(INCV)) if SIDE = 'R' The vector v in the representation of H. V is not used if TAU = 0.

INCV (input) INTEGER

The increment between elements of v. INCV <> 0.

TAU (input) COMPLEX*16

The value tau in the representation of H.

C (input/output) COMPLEX*16 array, dimension (LDC,N)

On entry, the M-by-N matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'.

LDC (input) INTEGER

The leading dimension of the array C. LDC >= max(1,M).

WORK (workspace) COMPLEX*16 array, dimension

(N) if SIDE = 'L' or (M) if SIDE = 'R'