sormr3(l) [redhat man page]

SORMR3(l)								 )								 SORMR3(l)

NAME

       SORMR3  - 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 SORMR3( SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO )

	   CHARACTER	  SIDE, TRANS

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

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

PURPOSE

       SORMR3 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
       elementary reflectors

	     Q = H(1) H(2) . . . H(k)

       as returned by STZRZF. 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.

       L       (input) INTEGER
	       The number of columns of the matrix A containing the meaningful part of the Householder reflectors.  If SIDE = 'L', M >= L >= 0, if
	       SIDE = 'R', N >= L >= 0.

       A       (input) REAL 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 STZRZF in the last 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) REAL array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by STZRZF.

       C       (input/output) REAL 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) REAL 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

FURTHER DETAILS

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

LAPACK version 3.0						   15 June 2000 							 SORMR3(l)