Annotation of rpl/lapack/lapack/zlarcm.f, revision 1.14
1.11 bertrand 1: *> \brief \b ZLARCM copies all or part of a real two-dimensional array to a complex array.
1.8 bertrand 2: *
3: * =========== DOCUMENTATION ===========
4: *
5: * Online html documentation available at
6: * http://www.netlib.org/lapack/explore-html/
7: *
8: *> \htmlonly
9: *> Download ZLARCM + dependencies
10: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlarcm.f">
11: *> [TGZ]</a>
12: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlarcm.f">
13: *> [ZIP]</a>
14: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlarcm.f">
15: *> [TXT]</a>
16: *> \endhtmlonly
17: *
18: * Definition:
19: * ===========
20: *
21: * SUBROUTINE ZLARCM( M, N, A, LDA, B, LDB, C, LDC, RWORK )
22: *
23: * .. Scalar Arguments ..
24: * INTEGER LDA, LDB, LDC, M, N
25: * ..
26: * .. Array Arguments ..
27: * DOUBLE PRECISION A( LDA, * ), RWORK( * )
28: * COMPLEX*16 B( LDB, * ), C( LDC, * )
29: * ..
30: *
31: *
32: *> \par Purpose:
33: * =============
34: *>
35: *> \verbatim
36: *>
37: *> ZLARCM performs a very simple matrix-matrix multiplication:
38: *> C := A * B,
39: *> where A is M by M and real; B is M by N and complex;
40: *> C is M by N and complex.
41: *> \endverbatim
42: *
43: * Arguments:
44: * ==========
45: *
46: *> \param[in] M
47: *> \verbatim
48: *> M is INTEGER
49: *> The number of rows of the matrix A and of the matrix C.
50: *> M >= 0.
51: *> \endverbatim
52: *>
53: *> \param[in] N
54: *> \verbatim
55: *> N is INTEGER
56: *> The number of columns and rows of the matrix B and
57: *> the number of columns of the matrix C.
58: *> N >= 0.
59: *> \endverbatim
60: *>
61: *> \param[in] A
62: *> \verbatim
63: *> A is DOUBLE PRECISION array, dimension (LDA, M)
64: *> A contains the M by M matrix A.
65: *> \endverbatim
66: *>
67: *> \param[in] LDA
68: *> \verbatim
69: *> LDA is INTEGER
70: *> The leading dimension of the array A. LDA >=max(1,M).
71: *> \endverbatim
72: *>
73: *> \param[in] B
74: *> \verbatim
1.14 ! bertrand 75: *> B is COMPLEX*16 array, dimension (LDB, N)
1.8 bertrand 76: *> B contains the M by N matrix B.
77: *> \endverbatim
78: *>
79: *> \param[in] LDB
80: *> \verbatim
81: *> LDB is INTEGER
82: *> The leading dimension of the array B. LDB >=max(1,M).
83: *> \endverbatim
84: *>
85: *> \param[in] C
86: *> \verbatim
87: *> C is COMPLEX*16 array, dimension (LDC, N)
88: *> C contains the M by N matrix C.
89: *> \endverbatim
90: *>
91: *> \param[in] LDC
92: *> \verbatim
93: *> LDC is INTEGER
94: *> The leading dimension of the array C. LDC >=max(1,M).
95: *> \endverbatim
96: *>
97: *> \param[out] RWORK
98: *> \verbatim
99: *> RWORK is DOUBLE PRECISION array, dimension (2*M*N)
100: *> \endverbatim
101: *
102: * Authors:
103: * ========
104: *
105: *> \author Univ. of Tennessee
106: *> \author Univ. of California Berkeley
107: *> \author Univ. of Colorado Denver
108: *> \author NAG Ltd.
109: *
1.14 ! bertrand 110: *> \date June 2016
1.8 bertrand 111: *
112: *> \ingroup complex16OTHERauxiliary
113: *
114: * =====================================================================
1.1 bertrand 115: SUBROUTINE ZLARCM( M, N, A, LDA, B, LDB, C, LDC, RWORK )
116: *
1.14 ! bertrand 117: * -- LAPACK auxiliary routine (version 3.6.1) --
1.1 bertrand 118: * -- LAPACK is a software package provided by Univ. of Tennessee, --
119: * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
1.14 ! bertrand 120: * June 2016
1.1 bertrand 121: *
122: * .. Scalar Arguments ..
123: INTEGER LDA, LDB, LDC, M, N
124: * ..
125: * .. Array Arguments ..
126: DOUBLE PRECISION A( LDA, * ), RWORK( * )
127: COMPLEX*16 B( LDB, * ), C( LDC, * )
128: * ..
129: *
130: * =====================================================================
131: *
132: * .. Parameters ..
133: DOUBLE PRECISION ONE, ZERO
134: PARAMETER ( ONE = 1.0D0, ZERO = 0.0D0 )
135: * ..
136: * .. Local Scalars ..
137: INTEGER I, J, L
138: * ..
139: * .. Intrinsic Functions ..
140: INTRINSIC DBLE, DCMPLX, DIMAG
141: * ..
142: * .. External Subroutines ..
143: EXTERNAL DGEMM
144: * ..
145: * .. Executable Statements ..
146: *
147: * Quick return if possible.
148: *
149: IF( ( M.EQ.0 ) .OR. ( N.EQ.0 ) )
150: $ RETURN
151: *
152: DO 20 J = 1, N
153: DO 10 I = 1, M
154: RWORK( ( J-1 )*M+I ) = DBLE( B( I, J ) )
155: 10 CONTINUE
156: 20 CONTINUE
157: *
158: L = M*N + 1
159: CALL DGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO,
160: $ RWORK( L ), M )
161: DO 40 J = 1, N
162: DO 30 I = 1, M
163: C( I, J ) = RWORK( L+( J-1 )*M+I-1 )
164: 30 CONTINUE
165: 40 CONTINUE
166: *
167: DO 60 J = 1, N
168: DO 50 I = 1, M
169: RWORK( ( J-1 )*M+I ) = DIMAG( B( I, J ) )
170: 50 CONTINUE
171: 60 CONTINUE
172: CALL DGEMM( 'N', 'N', M, N, M, ONE, A, LDA, RWORK, M, ZERO,
173: $ RWORK( L ), M )
174: DO 80 J = 1, N
175: DO 70 I = 1, M
176: C( I, J ) = DCMPLX( DBLE( C( I, J ) ),
177: $ RWORK( L+( J-1 )*M+I-1 ) )
178: 70 CONTINUE
179: 80 CONTINUE
180: *
181: RETURN
182: *
183: * End of ZLARCM
184: *
185: END
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