sorml2(3F)

NAME
     SORML2 - 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 SORML2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO
                        )

         CHARACTER      SIDE, TRANS

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

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

PURPOSE
     SORML2 overwrites the general real m by n matrix C with

     where Q is a real orthogonal matrix defined as the product of k
     elementary reflectors

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

     as returned by SGELQF. 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) 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 SGELQF 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) REAL array, dimension (K)
             TAU(i) must contain the scalar factor of the elementary reflector
             H(i), as returned by SGELQF.

     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