dorml2 man page on YellowDog

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DORML2(l)			       )			     DORML2(l)

NAME
       DORML2 - overwrite the general real m by n matrix C with	 Q * C if SIDE
       = 'L' and TRANS = 'N', or  Q'* C if SIDE = 'L' and TRANS = 'T', or  C *
       Q  if  SIDE = 'R' and TRANS = 'N', or  C * Q' if SIDE = 'R' and TRANS =
       'T',

SYNOPSIS
       SUBROUTINE DORML2( SIDE, TRANS, M, N, K, A, LDA,	 TAU,  C,  LDC,	 WORK,
			  INFO )

	   CHARACTER	  SIDE, TRANS

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

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

PURPOSE
       DORML2 overwrites the general real m by n matrix C with Q * C if SIDE =
       'L'  and	 TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'T', or C * Q
       if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = '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 DGELQF. 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)
	       = 'T': apply Q' (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) DOUBLE PRECISION array, dimension
	       (LDA,M)	if SIDE = 'L', (LDA,N) if SIDE = 'R' The i-th row must
	       contain the vector which defines the elementary reflector H(i),
	       for i = 1,2,...,k, as returned by DGELQF in the first k rows of
	       its array argument  A.	A  is  modified	 by  the  routine  but
	       restored on exit.

       LDA     (input) INTEGER
	       The leading dimension of the array A. LDA >= max(1,K).

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

       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'*C or C*Q' or C*Q.

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

       WORK    (workspace) DOUBLE PRECISION 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 version 3.0		 15 June 2000			     DORML2(l)
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