DORM2R (3lapack)

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 DORM2R( 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

  DORM2R 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(1) H(2) . . . H(k)

  as returned by DGEQRF. 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,K)
          The i-th column must contain the vector which defines the
          elementary reflector H(i), for i = 1,2,...,k, as returned by DGEQRF
          in the first k 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) DOUBLE PRECISION array, dimension (K)
          TAU(i) must contain the scalar factor of the elementary reflector
          H(i), as returned by DGEQRF.

  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