clarz man page on Scientific

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```CLARZ(1)		 LAPACK routine (version 3.2)		      CLARZ(1)

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

SYNOPSIS
SUBROUTINE CLARZ( SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK )

CHARACTER	 SIDE

INTEGER	 INCV, L, LDC, M, N

COMPLEX	 TAU

COMPLEX	 C( LDC, * ), V( * ), WORK( * )

PURPOSE
CLARZ 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.
H is a product of k elementary reflectors as returned by CTZRZF.

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.

L       (input) INTEGER
The number of entries of the vector V containing the meaningful
part of the Householder vectors.	 If SIDE = 'L', M >= L	>=  0,
if SIDE = 'R', N >= L >= 0.

V       (input) COMPLEX array, dimension (1+(L-1)*abs(INCV))
The  vector v in the representation of H as returned by CTZRZF.
V is not used if TAU = 0.

INCV    (input) INTEGER
The increment between elements of v. INCV <> 0.

TAU     (input) COMPLEX
The value tau in the representation of H.

C       (input/output) COMPLEX 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 array, dimension
(N) if SIDE = 'L' or (M) if SIDE = 'R'

FURTHER DETAILS
Based on contributions by
A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

LAPACK routine (version 3.2)	 November 2008			      CLARZ(1)
```
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