dormql man page on Scientific

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

NAME
DORMQL  - overwrites the general real M-by-N matrix C with   SIDE = 'L'
SIDE = 'R' TRANS = 'N'

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

CHARACTER	  SIDE, TRANS

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

DOUBLE	  PRECISION  A( LDA, * ), C( LDC, * ), TAU( * ), WORK(
* )

PURPOSE
DORMQL overwrites the general real M-by-N matrix C with	TRANS  =  'T':
Q**T * C	      C * Q**T
where Q is a real orthogonal matrix defined as the product of k elemen‐
tary reflectors
Q = H(k) . . . H(2) H(1)
as returned by DGEQLF. 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**T from the Left;
= 'R': apply Q or Q**T from the Right.

TRANS   (input) CHARACTER*1
= 'N':  No transpose, apply Q;
= 'T':  Transpose, apply Q**T.

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) DOUBLE PRECISION 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  DGE‐
QLF  in the last 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) DOUBLE PRECISION array, dimension (K)
TAU(i) must contain the scalar factor of the elementary reflec‐
tor H(i), as returned by DGEQLF.

C       (input/output) DOUBLE PRECISION array, dimension (LDC,N)
On entry, the M-by-N matrix C.  On exit, C  is  overwritten  by
Q*C or Q**T*C or C*Q**T or C*Q.

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

WORK	  (workspace/output)   DOUBLE	PRECISION   array,   dimension
(MAX(1,LWORK))
On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

LWORK   (input) INTEGER
The dimension of the array WORK.	  If  SIDE  =  'L',  LWORK  >=
max(1,N);  if  SIDE = 'R', LWORK >= max(1,M).  For optimum per‐
formance LWORK >= N*NB if SIDE = 'L', and LWORK >= M*NB if SIDE
=  'R', where NB is the optimal blocksize.  If LWORK = -1, then
a workspace query is assumed; the routine only  calculates  the
optimal size of the WORK array, returns this value as the first
entry of the WORK array, and no error message related to	 LWORK
is issued by XERBLA.

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			     DORMQL(1)
```
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