LAPACK 3.12.0 LAPACK: Linear Algebra PACKage
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zlatb5.f
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1*> \brief \b ZLATB5
2*
3* =========== DOCUMENTATION ===========
4*
5* Online html documentation available at
6* http://www.netlib.org/lapack/explore-html/
7*
8* Definition:
9* ===========
10*
11* SUBROUTINE ZLATB5( PATH, IMAT, N, TYPE, KL, KU, ANORM, MODE,
12* CNDNUM, DIST )
13*
14* .. Scalar Arguments ..
15* DOUBLE PRECISION ANORM, CNDNUM
16* INTEGER IMAT, KL, KU, MODE, N
17* CHARACTER DIST, TYPE
18* CHARACTER*3 PATH
19* ..
20*
21*
22*> \par Purpose:
23* =============
24*>
25*> \verbatim
26*>
27*> ZLATB5 sets parameters for the matrix generator based on the type
28*> of matrix to be generated.
29*> \endverbatim
30*
31* Arguments:
32* ==========
33*
34*> \param[in] PATH
35*> \verbatim
36*> PATH is CHARACTER*3
37*> The LAPACK path name.
38*> \endverbatim
39*>
40*> \param[in] IMAT
41*> \verbatim
42*> IMAT is INTEGER
43*> An integer key describing which matrix to generate for this
44*> path.
45*> \endverbatim
46*>
47*> \param[in] N
48*> \verbatim
49*> N is INTEGER
50*> The number of rows and columns in the matrix to be generated.
51*> \endverbatim
52*>
53*> \param[out] TYPE
54*> \verbatim
55*> TYPE is CHARACTER*1
56*> The type of the matrix to be generated:
57*> = 'S': symmetric matrix
58*> = 'P': symmetric positive (semi)definite matrix
59*> = 'N': nonsymmetric matrix
60*> \endverbatim
61*>
62*> \param[out] KL
63*> \verbatim
64*> KL is INTEGER
65*> The lower band width of the matrix to be generated.
66*> \endverbatim
67*>
68*> \param[out] KU
69*> \verbatim
70*> KU is INTEGER
71*> The upper band width of the matrix to be generated.
72*> \endverbatim
73*>
74*> \param[out] ANORM
75*> \verbatim
76*> ANORM is DOUBLE PRECISION
77*> The desired norm of the matrix to be generated. The diagonal
78*> matrix of singular values or eigenvalues is scaled by this
79*> value.
80*> \endverbatim
81*>
82*> \param[out] MODE
83*> \verbatim
84*> MODE is INTEGER
85*> A key indicating how to choose the vector of eigenvalues.
86*> \endverbatim
87*>
88*> \param[out] CNDNUM
89*> \verbatim
90*> CNDNUM is DOUBLE PRECISION
91*> The desired condition number.
92*> \endverbatim
93*>
94*> \param[out] DIST
95*> \verbatim
96*> DIST is CHARACTER*1
97*> The type of distribution to be used by the random number
98*> generator.
99*> \endverbatim
100*
101* Authors:
102* ========
103*
104*> \author Univ. of Tennessee
105*> \author Univ. of California Berkeley
106*> \author Univ. of Colorado Denver
107*> \author NAG Ltd.
108*
109*> \ingroup complex16_lin
110*
111* =====================================================================
112 SUBROUTINE zlatb5( PATH, IMAT, N, TYPE, KL, KU, ANORM, MODE,
113 \$ CNDNUM, DIST )
114*
115* -- LAPACK test routine --
116* -- LAPACK is a software package provided by Univ. of Tennessee, --
117* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
118*
119* .. Scalar Arguments ..
120 DOUBLE PRECISION ANORM, CNDNUM
121 INTEGER IMAT, KL, KU, MODE, N
122 CHARACTER DIST, TYPE
123 CHARACTER*3 PATH
124* ..
125*
126* =====================================================================
127*
128* .. Parameters ..
129 DOUBLE PRECISION SHRINK, TENTH
130 parameter( shrink = 0.25d0, tenth = 0.1d+0 )
131 DOUBLE PRECISION ONE
132 parameter( one = 1.0d+0 )
133 DOUBLE PRECISION TWO
134 parameter( two = 2.0d+0 )
135* ..
136* .. Local Scalars ..
137 DOUBLE PRECISION BADC1, BADC2, EPS, LARGE, SMALL
138 LOGICAL FIRST
139 CHARACTER*2 C2
140* ..
141* .. External Functions ..
142 DOUBLE PRECISION DLAMCH
143 EXTERNAL dlamch
144* ..
145* .. Intrinsic Functions ..
146 INTRINSIC max, sqrt
147* ..
148* .. Save statement ..
149 SAVE eps, small, large, badc1, badc2, first
150* ..
151* .. Data statements ..
152 DATA first / .true. /
153* ..
154* .. Executable Statements ..
155*
156* Set some constants for use in the subroutine.
157*
158 IF( first ) THEN
159 first = .false.
160 eps = dlamch( 'Precision' )
161 badc2 = tenth / eps
163 small = dlamch( 'Safe minimum' )
164 large = one / small
165 small = shrink*( small / eps )
166 large = one / small
167 END IF
168*
169 c2 = path( 2: 3 )
170*
171* Set some parameters
172*
173 dist = 'S'
174 mode = 3
175*
176* Set TYPE, the type of matrix to be generated.
177*
178 TYPE = c2( 1: 1 )
179*
180* Set the lower and upper bandwidths.
181*
182 IF( imat.EQ.1 ) THEN
183 kl = 0
184 ELSE
185 kl = max( n-1, 0 )
186 END IF
187 ku = kl
188*
189* Set the condition number and norm.etc
190*
191 IF( imat.EQ.3 ) THEN
192 cndnum = 1.0d12
193 mode = 2
194 ELSE IF( imat.EQ.4 ) THEN
195 cndnum = 1.0d12
196 mode = 1
197 ELSE IF( imat.EQ.5 ) THEN
198 cndnum = 1.0d12
199 mode = 3
200 ELSE IF( imat.EQ.6 ) THEN
201 cndnum = badc1
202 ELSE IF( imat.EQ.7 ) THEN
203 cndnum = badc2
204 ELSE
205 cndnum = two
206 END IF
207*
208 IF( imat.EQ.8 ) THEN
209 anorm = small
210 ELSE IF( imat.EQ.9 ) THEN
211 anorm = large
212 ELSE
213 anorm = one
214 END IF
215*
216 IF( n.LE.1 )
217 \$ cndnum = one
218*
219 RETURN
220*
221* End of ZLATB5
222*
223 END
subroutine zlatb5(path, imat, n, type, kl, ku, anorm, mode, cndnum, dist)
ZLATB5
Definition zlatb5.f:114