clarcm.f.html

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      SUBROUTINE <a name="CLARCM.1"></a><a href="clarcm.f.html#CLARCM.1">CLARCM</a>( M, N, A, LDA, B, LDB, C, LDC, RWORK )
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  -- LAPACK auxiliary 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>      INTEGER            LDA, LDB, LDC, M, N
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Array Arguments ..
</span>      REAL               A( LDA, * ), RWORK( * )
      COMPLEX            B( LDB, * ), C( LDC, * )
<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="CLARCM.18"></a><a href="clarcm.f.html#CLARCM.1">CLARCM</a> performs a very simple matrix-matrix multiplication:
</span><span class="comment">*</span><span class="comment">           C := A * B,
</span><span class="comment">*</span><span class="comment">  where A is M by M and real; B is M by N and complex;
</span><span class="comment">*</span><span class="comment">  C is M by N and complex.
</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">  M       (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The number of rows of the matrix A and of the matrix C.
</span><span class="comment">*</span><span class="comment">          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 and rows of the matrix B and
</span><span class="comment">*</span><span class="comment">          the number of columns of the matrix C.
</span><span class="comment">*</span><span class="comment">          N &gt;= 0.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  A       (input) REAL array, dimension (LDA, M)
</span><span class="comment">*</span><span class="comment">          A contains the M by M matrix A.
</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,M).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  B       (input) REAL array, dimension (LDB, N)
</span><span class="comment">*</span><span class="comment">          B contains the M by N matrix B.
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  LDB     (input) INTEGER
</span><span class="comment">*</span><span class="comment">          The leading dimension of the array B. LDB &gt;=max(1,M).
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">  C       (input) COMPLEX array, dimension (LDC, N)
</span><span class="comment">*</span><span class="comment">          C contains the M by N matrix C.
</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">  RWORK   (workspace) REAL array, dimension (2*M*N)
</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 ..
</span>      REAL               ONE, ZERO
      PARAMETER          ( ONE = 1.0E0, ZERO = 0.0E0 )
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Local Scalars ..
</span>      INTEGER            I, J, L
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Intrinsic Functions ..
</span>      INTRINSIC          AIMAG, CMPLX, REAL
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. External Subroutines ..
</span>      EXTERNAL           SGEMM
<span class="comment">*</span><span class="comment">     ..
</span><span class="comment">*</span><span class="comment">     .. Executable Statements ..
</span><span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     Quick return if possible.
</span><span class="comment">*</span><span class="comment">
</span>      IF( ( M.EQ.0 ) .OR. ( N.EQ.0 ) )
     $   RETURN
<span class="comment">*</span><span class="comment">
</span>      DO 20 J = 1, N
         DO 10 I = 1, M
            RWORK( ( J-1 )*M+I ) = REAL( B( I, J ) )
   10    CONTINUE
   20 CONTINUE
<span class="comment">*</span><span class="comment">
</span>      L = M*N + 1
      CALL SGEMM( <span class="string">'N'</span>, <span class="string">'N'</span>, M, N, M, ONE, A, LDA, RWORK, M, ZERO,
     $            RWORK( L ), M )
      DO 40 J = 1, N
         DO 30 I = 1, M
            C( I, J ) = RWORK( L+( J-1 )*M+I-1 )
   30    CONTINUE
   40 CONTINUE
<span class="comment">*</span><span class="comment">
</span>      DO 60 J = 1, N
         DO 50 I = 1, M
            RWORK( ( J-1 )*M+I ) = AIMAG( B( I, J ) )
   50    CONTINUE
   60 CONTINUE
      CALL SGEMM( <span class="string">'N'</span>, <span class="string">'N'</span>, M, N, M, ONE, A, LDA, RWORK, M, ZERO,
     $            RWORK( L ), M )
      DO 80 J = 1, N
         DO 70 I = 1, M
            C( I, J ) = CMPLX( REAL( C( I, J ) ),
     $                  RWORK( L+( J-1 )*M+I-1 ) )
   70    CONTINUE
   80 CONTINUE
<span class="comment">*</span><span class="comment">
</span>      RETURN
<span class="comment">*</span><span class="comment">
</span><span class="comment">*</span><span class="comment">     End of <a name="CLARCM.108"></a><a href="clarcm.f.html#CLARCM.1">CLARCM</a>
</span><span class="comment">*</span><span class="comment">
</span>      END

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