SORM2L  -  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 SORM2L( 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

       SORM2L 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(k) . . . H(2) H(1)

       as  returned  by SGEQLF. 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,K)
               The i-th column  must  contain  the  vector  which
               defines  the  elementary  reflector  H(i), for i =

               columns 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.  If  SIDE  =
               'L',  LDA  >=  max(1,M);  if  SIDE  =  'R', LDA >=
               max(1,N).

       TAU     (input) REAL array, dimension (K)
               TAU(i) must contain the scalar factor of the  ele­
               mentary reflector H(i), as returned by SGEQLF.

       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 ille­
               gal value


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