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LAPACK
3.4.1
LAPACK: Linear Algebra PACKage
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00001 *> \brief \b ZLARCM 00002 * 00003 * =========== DOCUMENTATION =========== 00004 * 00005 * Online html documentation available at 00006 * http://www.netlib.org/lapack/explore-html/ 00007 * 00008 *> \htmlonly 00009 *> Download ZLARCM + dependencies 00010 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarcm.f"> 00011 *> [TGZ]</a> 00012 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarcm.f"> 00013 *> [ZIP]</a> 00014 *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarcm.f"> 00015 *> [TXT]</a> 00016 *> \endhtmlonly 00017 * 00018 * Definition: 00019 * =========== 00020 * 00021 * SUBROUTINE ZLARCM( M, N, A, LDA, B, LDB, C, LDC, RWORK ) 00022 * 00023 * .. Scalar Arguments .. 00024 * INTEGER LDA, LDB, LDC, M, N 00025 * .. 00026 * .. Array Arguments .. 00027 * DOUBLE PRECISION A( LDA, * ), RWORK( * ) 00028 * COMPLEX*16 B( LDB, * ), C( LDC, * ) 00029 * .. 00030 * 00031 * 00032 *> \par Purpose: 00033 * ============= 00034 *> 00035 *> \verbatim 00036 *> 00037 *> ZLARCM performs a very simple matrix-matrix multiplication: 00038 *> C := A * B, 00039 *> where A is M by M and real; B is M by N and complex; 00040 *> C is M by N and complex. 00041 *> \endverbatim 00042 * 00043 * Arguments: 00044 * ========== 00045 * 00046 *> \param[in] M 00047 *> \verbatim 00048 *> M is INTEGER 00049 *> The number of rows of the matrix A and of the matrix C. 00050 *> M >= 0. 00051 *> \endverbatim 00052 *> 00053 *> \param[in] N 00054 *> \verbatim 00055 *> N is INTEGER 00056 *> The number of columns and rows of the matrix B and 00057 *> the number of columns of the matrix C. 00058 *> N >= 0. 00059 *> \endverbatim 00060 *> 00061 *> \param[in] A 00062 *> \verbatim 00063 *> A is DOUBLE PRECISION array, dimension (LDA, M) 00064 *> A contains the M by M matrix A. 00065 *> \endverbatim 00066 *> 00067 *> \param[in] LDA 00068 *> \verbatim 00069 *> LDA is INTEGER 00070 *> The leading dimension of the array A. LDA >=max(1,M). 00071 *> \endverbatim 00072 *> 00073 *> \param[in] B 00074 *> \verbatim 00075 *> B is DOUBLE PRECISION array, dimension (LDB, N) 00076 *> B contains the M by N matrix B. 00077 *> \endverbatim 00078 *> 00079 *> \param[in] LDB 00080 *> \verbatim 00081 *> LDB is INTEGER 00082 *> The leading dimension of the array B. LDB >=max(1,M). 00083 *> \endverbatim 00084 *> 00085 *> \param[in] C 00086 *> \verbatim 00087 *> C is COMPLEX*16 array, dimension (LDC, N) 00088 *> C contains the M by N matrix C. 00089 *> \endverbatim 00090 *> 00091 *> \param[in] LDC 00092 *> \verbatim 00093 *> LDC is INTEGER 00094 *> The leading dimension of the array C. LDC >=max(1,M). 00095 *> \endverbatim 00096 *> 00097 *> \param[out] RWORK 00098 *> \verbatim 00099 *> RWORK is DOUBLE PRECISION array, dimension (2*M*N) 00100 *> \endverbatim 00101 * 00102 * Authors: 00103 * ======== 00104 * 00105 *> \author Univ. of Tennessee 00106 *> \author Univ. of California Berkeley 00107 *> \author Univ. of Colorado Denver 00108 *> \author NAG Ltd. 00109 * 00110 *> \date November 2011 00111 * 00112 *> \ingroup complex16OTHERauxiliary 00113 * 00114 * ===================================================================== 00115 SUBROUTINE ZLARCM( M, N, A, LDA, B, LDB, C, LDC, RWORK ) 00116 * 00117 * -- LAPACK auxiliary routine (version 3.4.0) -- 00118 * -- LAPACK is a software package provided by Univ. of Tennessee, -- 00119 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- 00120 * November 2011 00121 * 00122 * .. Scalar Arguments .. 00123 INTEGER LDA, LDB, LDC, M, N 00124 * .. 00125 * .. Array Arguments .. 00126 DOUBLE PRECISION A( LDA, * ), RWORK( * ) 00127 COMPLEX*16 B( LDB, * ), C( LDC, * ) 00128 * .. 00129 * 00130 * ===================================================================== 00131 * 00132 * .. Parameters .. 00133 DOUBLE PRECISION ONE, ZERO 00134 PARAMETER ( ONE = 1.0D0, ZERO = 0.0D0 ) 00135 * .. 00136 * .. Local Scalars .. 00137 INTEGER I, J, L 00138 * .. 00139 * .. Intrinsic Functions .. 00140 INTRINSIC DBLE, DCMPLX, DIMAG 00141 * .. 00142 * .. External Subroutines .. 00143 EXTERNAL DGEMM 00144 * .. 00145 * .. Executable Statements .. 00146 * 00147 * Quick return if possible. 00148 * 00149 IF( ( M.EQ.0 ) .OR. ( N.EQ.0 ) ) 00150 $ RETURN 00151 * 00152 DO 20 J = 1, N 00153 DO 10 I = 1, M 00154 RWORK( ( J-1 )*M+I ) = DBLE( B( I, J ) ) 00155 10 CONTINUE 00156 20 CONTINUE 00157 * 00158 L = M*N + 1 00159 CALL DGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO, 00160 $ RWORK( L ), M ) 00161 DO 40 J = 1, N 00162 DO 30 I = 1, M 00163 C( I, J ) = RWORK( L+( J-1 )*M+I-1 ) 00164 30 CONTINUE 00165 40 CONTINUE 00166 * 00167 DO 60 J = 1, N 00168 DO 50 I = 1, M 00169 RWORK( ( J-1 )*M+I ) = DIMAG( B( I, J ) ) 00170 50 CONTINUE 00171 60 CONTINUE 00172 CALL DGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO, 00173 $ RWORK( L ), M ) 00174 DO 80 J = 1, N 00175 DO 70 I = 1, M 00176 C( I, J ) = DCMPLX( DBLE( C( I, J ) ), 00177 $ RWORK( L+( J-1 )*M+I-1 ) ) 00178 70 CONTINUE 00179 80 CONTINUE 00180 * 00181 RETURN 00182 * 00183 * End of ZLARCM 00184 * 00185 END