dorml2.f.html

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      SUBROUTINE <a name="DORML2.1"></a><a href="dorml2.f.html#DORML2.1">DORML2</a>( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC,
     $                   WORK, INFO )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  -- LAPACK routine (version 3.1) --
</span><span class="comment">*</span><span class="comment">     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..
</span><span class="comment">*</span><span class="comment">     November 2006
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Scalar Arguments ..
</span>      CHARACTER          SIDE, TRANS
      INTEGER            INFO, K, LDA, LDC, M, N
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Array Arguments ..
</span>      DOUBLE PRECISION   A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Purpose
</span><span class="comment">*</span><span class="comment">  =======
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  <a name="DORML2.19"></a><a href="dorml2.f.html#DORML2.1">DORML2</a> overwrites the general real m by n matrix C with
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Q * C  if SIDE = 'L' and TRANS = 'N', or
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Q'* C  if SIDE = 'L' and TRANS = 'T', or
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        C * Q  if SIDE = 'R' and TRANS = 'N', or
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        C * Q' if SIDE = 'R' and TRANS = 'T',
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  where Q is a real orthogonal matrix defined as the product of k
</span><span class="comment">*</span><span class="comment">  elementary reflectors
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">        Q = H(k) . . . H(2) H(1)
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  as returned by <a name="DGELQF.34"></a><a href="dgelqf.f.html#DGELQF.1">DGELQF</a>. Q is of order m if SIDE = 'L' and of order n
</span><span class="comment">*</span><span class="comment">  if SIDE = 'R'.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  Arguments
</span><span class="comment">*</span><span class="comment">  =========
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  SIDE    (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          = 'L': apply Q or Q' from the Left
</span><span class="comment">*</span><span class="comment">          = 'R': apply Q or Q' from the Right
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  TRANS   (input) CHARACTER*1
</span><span class="comment">*</span><span class="comment">          = 'N': apply Q  (No transpose)
</span><span class="comment">*</span><span class="comment">          = 'T': apply Q' (Transpose)
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  M       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of rows of the matrix C. M &gt;= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  N       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of columns of the matrix C. N &gt;= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  K       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of elementary reflectors whose product defines
</span><span class="comment">*</span><span class="comment">          the matrix Q.
</span><span class="comment">*</span><span class="comment">          If SIDE = 'L', M &gt;= K &gt;= 0;
</span><span class="comment">*</span><span class="comment">          if SIDE = 'R', N &gt;= K &gt;= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  A       (input) DOUBLE PRECISION array, dimension
</span><span class="comment">*</span><span class="comment">                               (LDA,M) if SIDE = 'L',
</span><span class="comment">*</span><span class="comment">                               (LDA,N) if SIDE = 'R'
</span><span class="comment">*</span><span class="comment">          The i-th row must contain the vector which defines the
</span><span class="comment">*</span><span class="comment">          elementary reflector H(i), for i = 1,2,...,k, as returned by
</span><span class="comment">*</span><span class="comment">          <a name="DGELQF.65"></a><a href="dgelqf.f.html#DGELQF.1">DGELQF</a> in the first k rows of its array argument A.
</span><span class="comment">*</span><span class="comment">          A is modified by the routine but restored on exit.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDA     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array A. LDA &gt;= max(1,K).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  TAU     (input) DOUBLE PRECISION array, dimension (K)
</span><span class="comment">*</span><span class="comment">          TAU(i) must contain the scalar factor of the elementary
</span><span class="comment">*</span><span class="comment">          reflector H(i), as returned by <a name="DGELQF.73"></a><a href="dgelqf.f.html#DGELQF.1">DGELQF</a>.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  C       (input/output) DOUBLE PRECISION array, dimension (LDC,N)
</span><span class="comment">*</span><span class="comment">          On entry, the m by n matrix C.
</span><span class="comment">*</span><span class="comment">          On exit, C is overwritten by Q*C or Q'*C or C*Q' or C*Q.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDC     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array C. LDC &gt;= max(1,M).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  WORK    (workspace) DOUBLE PRECISION array, dimension
</span><span class="comment">*</span><span class="comment">                                   (N) if SIDE = 'L',
</span><span class="comment">*</span><span class="comment">                                   (M) if SIDE = 'R'
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  INFO    (output) INTEGER
</span><span class="comment">*</span><span class="comment">          = 0: successful exit
</span><span class="comment">*</span><span class="comment">          &lt; 0: if INFO = -i, the i-th argument had an illegal value
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  =====================================================================
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     .. Parameters ..
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