cunm2r man page on Scientific

```CUNM2R(1)		 LAPACK routine (version 3.2)		     CUNM2R(1)

NAME
CUNM2R - overwrites the general complex m-by-n matrix C with   Q * C if
SIDE = 'L' and TRANS = 'N', or	Q'* C if SIDE = 'L' and TRANS  =  'C',
or   C * Q if SIDE = 'R' and TRANS = 'N', or   C * Q' if SIDE = 'R' and
TRANS = 'C',

SYNOPSIS
SUBROUTINE CUNM2R( SIDE, TRANS, M, N, K, A, LDA,	 TAU,  C,  LDC,	 WORK,
INFO )

CHARACTER	  SIDE, TRANS

INTEGER	  INFO, K, LDA, LDC, M, N

COMPLEX	  A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE
CUNM2R overwrites the general complex m-by-n matrix C with where Q is a
complex unitary matrix defined as the product of k  elementary  reflec‐
tors
Q = H(1) H(2) . . . H(k)
as  returned by CGEQRF. Q is of order m if SIDE = 'L' and of order n if
SIDE = 'R'.

ARGUMENTS
SIDE    (input) CHARACTER*1
= 'L': apply Q or Q' from the Left
= 'R': apply Q or Q' from the Right

TRANS   (input) CHARACTER*1
= 'N': apply Q  (No transpose)
= 'C': apply Q' (Conjugate transpose)

M       (input) INTEGER
The number of rows of the matrix C. M >= 0.

N       (input) INTEGER
The number of columns of the matrix C. N >= 0.

K       (input) INTEGER
The number of elementary reflectors whose product  defines  the
matrix Q.  If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K >=
0.

A       (input) COMPLEX array, dimension (LDA,K)
The i-th column must contain the vector which defines the  ele‐
mentary	reflector H(i), for i = 1,2,...,k, as returned by CGE‐
QRF in the first k columns of its array argument A.  A is modi‐
fied by the routine but restored on exit.

LDA     (input) INTEGER
The  leading  dimension	of the array A.	 If SIDE = 'L', LDA >=
max(1,M); if SIDE = 'R', LDA >= max(1,N).

TAU     (input) COMPLEX array, dimension (K)
TAU(i) must contain the scalar factor of the elementary reflec‐
tor H(i), as returned by CGEQRF.

C       (input/output) COMPLEX array, dimension (LDC,N)
On  entry,  the	m-by-n matrix C.  On exit, C is overwritten by
Q*C or Q'*C or C*Q' or C*Q.

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

WORK    (workspace) COMPLEX array, dimension
(N) if SIDE = 'L', (M) if SIDE = 'R'

INFO    (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

LAPACK routine (version 3.2)	 November 2008			     CUNM2R(1)
```
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