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dorml2 examples
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Man Page Details
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NAME
       DORML2  -  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
  elementary 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
          reflector 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

