1: *> \brief \b ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
2: *
3: * =========== DOCUMENTATION ===========
4: *
5: * Online html documentation available at
6: * http://www.netlib.org/lapack/explore-html/
7: *
8: *> \htmlonly
9: *> Download ZLASET + dependencies
10: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlaset.f">
11: *> [TGZ]</a>
12: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlaset.f">
13: *> [ZIP]</a>
14: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlaset.f">
15: *> [TXT]</a>
16: *> \endhtmlonly
17: *
18: * Definition:
19: * ===========
20: *
21: * SUBROUTINE ZLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
22: *
23: * .. Scalar Arguments ..
24: * CHARACTER UPLO
25: * INTEGER LDA, M, N
26: * COMPLEX*16 ALPHA, BETA
27: * ..
28: * .. Array Arguments ..
29: * COMPLEX*16 A( LDA, * )
30: * ..
31: *
32: *
33: *> \par Purpose:
34: * =============
35: *>
36: *> \verbatim
37: *>
38: *> ZLASET initializes a 2-D array A to BETA on the diagonal and
39: *> ALPHA on the offdiagonals.
40: *> \endverbatim
41: *
42: * Arguments:
43: * ==========
44: *
45: *> \param[in] UPLO
46: *> \verbatim
47: *> UPLO is CHARACTER*1
48: *> Specifies the part of the matrix A to be set.
49: *> = 'U': Upper triangular part is set. The lower triangle
50: *> is unchanged.
51: *> = 'L': Lower triangular part is set. The upper triangle
52: *> is unchanged.
53: *> Otherwise: All of the matrix A is set.
54: *> \endverbatim
55: *>
56: *> \param[in] M
57: *> \verbatim
58: *> M is INTEGER
59: *> On entry, M specifies the number of rows of A.
60: *> \endverbatim
61: *>
62: *> \param[in] N
63: *> \verbatim
64: *> N is INTEGER
65: *> On entry, N specifies the number of columns of A.
66: *> \endverbatim
67: *>
68: *> \param[in] ALPHA
69: *> \verbatim
70: *> ALPHA is COMPLEX*16
71: *> All the offdiagonal array elements are set to ALPHA.
72: *> \endverbatim
73: *>
74: *> \param[in] BETA
75: *> \verbatim
76: *> BETA is COMPLEX*16
77: *> All the diagonal array elements are set to BETA.
78: *> \endverbatim
79: *>
80: *> \param[out] A
81: *> \verbatim
82: *> A is COMPLEX*16 array, dimension (LDA,N)
83: *> On entry, the m by n matrix A.
84: *> On exit, A(i,j) = ALPHA, 1 <= i <= m, 1 <= j <= n, i.ne.j;
85: *> A(i,i) = BETA , 1 <= i <= min(m,n)
86: *> \endverbatim
87: *>
88: *> \param[in] LDA
89: *> \verbatim
90: *> LDA is INTEGER
91: *> The leading dimension of the array A. LDA >= max(1,M).
92: *> \endverbatim
93: *
94: * Authors:
95: * ========
96: *
97: *> \author Univ. of Tennessee
98: *> \author Univ. of California Berkeley
99: *> \author Univ. of Colorado Denver
100: *> \author NAG Ltd.
101: *
102: *> \ingroup complex16OTHERauxiliary
103: *
104: * =====================================================================
105: SUBROUTINE ZLASET( UPLO, M, N, ALPHA, BETA, A, LDA )
106: *
107: * -- LAPACK auxiliary routine --
108: * -- LAPACK is a software package provided by Univ. of Tennessee, --
109: * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
110: *
111: * .. Scalar Arguments ..
112: CHARACTER UPLO
113: INTEGER LDA, M, N
114: COMPLEX*16 ALPHA, BETA
115: * ..
116: * .. Array Arguments ..
117: COMPLEX*16 A( LDA, * )
118: * ..
119: *
120: * =====================================================================
121: *
122: * .. Local Scalars ..
123: INTEGER I, J
124: * ..
125: * .. External Functions ..
126: LOGICAL LSAME
127: EXTERNAL LSAME
128: * ..
129: * .. Intrinsic Functions ..
130: INTRINSIC MIN
131: * ..
132: * .. Executable Statements ..
133: *
134: IF( LSAME( UPLO, 'U' ) ) THEN
135: *
136: * Set the diagonal to BETA and the strictly upper triangular
137: * part of the array to ALPHA.
138: *
139: DO 20 J = 2, N
140: DO 10 I = 1, MIN( J-1, M )
141: A( I, J ) = ALPHA
142: 10 CONTINUE
143: 20 CONTINUE
144: DO 30 I = 1, MIN( N, M )
145: A( I, I ) = BETA
146: 30 CONTINUE
147: *
148: ELSE IF( LSAME( UPLO, 'L' ) ) THEN
149: *
150: * Set the diagonal to BETA and the strictly lower triangular
151: * part of the array to ALPHA.
152: *
153: DO 50 J = 1, MIN( M, N )
154: DO 40 I = J + 1, M
155: A( I, J ) = ALPHA
156: 40 CONTINUE
157: 50 CONTINUE
158: DO 60 I = 1, MIN( N, M )
159: A( I, I ) = BETA
160: 60 CONTINUE
161: *
162: ELSE
163: *
164: * Set the array to BETA on the diagonal and ALPHA on the
165: * offdiagonal.
166: *
167: DO 80 J = 1, N
168: DO 70 I = 1, M
169: A( I, J ) = ALPHA
170: 70 CONTINUE
171: 80 CONTINUE
172: DO 90 I = 1, MIN( M, N )
173: A( I, I ) = BETA
174: 90 CONTINUE
175: END IF
176: *
177: RETURN
178: *
179: * End of ZLASET
180: *
181: END
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