*> \brief \b ZLACRM multiplies a complex matrix by a square real matrix. * * =========== DOCUMENTATION =========== * * Online html documentation available at * http://www.netlib.org/lapack/explore-html/ * *> \htmlonly *> Download ZLACRM + dependencies *> *> [TGZ] *> *> [ZIP] *> *> [TXT] *> \endhtmlonly * * Definition: * =========== * * SUBROUTINE ZLACRM( M, N, A, LDA, B, LDB, C, LDC, RWORK ) * * .. Scalar Arguments .. * INTEGER LDA, LDB, LDC, M, N * .. * .. Array Arguments .. * DOUBLE PRECISION B( LDB, * ), RWORK( * ) * COMPLEX*16 A( LDA, * ), C( LDC, * ) * .. * * *> \par Purpose: * ============= *> *> \verbatim *> *> ZLACRM performs a very simple matrix-matrix multiplication: *> C := A * B, *> where A is M by N and complex; B is N by N and real; *> C is M by N and complex. *> \endverbatim * * Arguments: * ========== * *> \param[in] M *> \verbatim *> M is INTEGER *> The number of rows of the matrix A and of the matrix C. *> M >= 0. *> \endverbatim *> *> \param[in] N *> \verbatim *> N is INTEGER *> The number of columns and rows of the matrix B and *> the number of columns of the matrix C. *> N >= 0. *> \endverbatim *> *> \param[in] A *> \verbatim *> A is COMPLEX*16 array, dimension (LDA, N) *> On entry, A contains the M by N matrix A. *> \endverbatim *> *> \param[in] LDA *> \verbatim *> LDA is INTEGER *> The leading dimension of the array A. LDA >=max(1,M). *> \endverbatim *> *> \param[in] B *> \verbatim *> B is DOUBLE PRECISION array, dimension (LDB, N) *> On entry, B contains the N by N matrix B. *> \endverbatim *> *> \param[in] LDB *> \verbatim *> LDB is INTEGER *> The leading dimension of the array B. LDB >=max(1,N). *> \endverbatim *> *> \param[out] C *> \verbatim *> C is COMPLEX*16 array, dimension (LDC, N) *> On exit, C contains the M by N matrix C. *> \endverbatim *> *> \param[in] LDC *> \verbatim *> LDC is INTEGER *> The leading dimension of the array C. LDC >=max(1,N). *> \endverbatim *> *> \param[out] RWORK *> \verbatim *> RWORK is DOUBLE PRECISION array, dimension (2*M*N) *> \endverbatim * * Authors: * ======== * *> \author Univ. of Tennessee *> \author Univ. of California Berkeley *> \author Univ. of Colorado Denver *> \author NAG Ltd. * *> \date December 2016 * *> \ingroup complex16OTHERauxiliary * * ===================================================================== SUBROUTINE ZLACRM( M, N, A, LDA, B, LDB, C, LDC, RWORK ) * * -- LAPACK auxiliary routine (version 3.7.0) -- * -- LAPACK is a software package provided by Univ. of Tennessee, -- * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- * December 2016 * * .. Scalar Arguments .. INTEGER LDA, LDB, LDC, M, N * .. * .. Array Arguments .. DOUBLE PRECISION B( LDB, * ), RWORK( * ) COMPLEX*16 A( LDA, * ), C( LDC, * ) * .. * * ===================================================================== * * .. Parameters .. DOUBLE PRECISION ONE, ZERO PARAMETER ( ONE = 1.0D0, ZERO = 0.0D0 ) * .. * .. Local Scalars .. INTEGER I, J, L * .. * .. Intrinsic Functions .. INTRINSIC DBLE, DCMPLX, DIMAG * .. * .. External Subroutines .. EXTERNAL DGEMM * .. * .. Executable Statements .. * * Quick return if possible. * IF( ( M.EQ.0 ) .OR. ( N.EQ.0 ) ) \$ RETURN * DO 20 J = 1, N DO 10 I = 1, M RWORK( ( J-1 )*M+I ) = DBLE( A( I, J ) ) 10 CONTINUE 20 CONTINUE * L = M*N + 1 CALL DGEMM( 'N', 'N', M, N, N, ONE, RWORK, M, B, LDB, 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 * DO 60 J = 1, N DO 50 I = 1, M RWORK( ( J-1 )*M+I ) = DIMAG( A( I, J ) ) 50 CONTINUE 60 CONTINUE CALL DGEMM( 'N', 'N', M, N, N, ONE, RWORK, M, B, LDB, ZERO, \$ RWORK( L ), M ) DO 80 J = 1, N DO 70 I = 1, M C( I, J ) = DCMPLX( DBLE( C( I, J ) ), \$ RWORK( L+( J-1 )*M+I-1 ) ) 70 CONTINUE 80 CONTINUE * RETURN * * End of ZLACRM * END