-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathGROWTHLS.SIF
216 lines (160 loc) · 4.31 KB
/
GROWTHLS.SIF
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
***************************
* SET UP THE INITIAL DATA *
***************************
NAME GROWTHLS
* Problem :
* *********
* GROWTH problem in 3 variables
* Fit the observed growth g(n) from Gaussian Elimination
* with complete pivoting to a function of the form
*
* U1 * n ** ( U2 + LOG(n) * U3 )
* SIF input: Nick Gould, Nov, 1991, modified by Ph. Toint, March 1994.
* classification SUR2-AN-3-0
IE N 3
VARIABLES
U1
U2
U3
GROUPS
N G8
N G9
N G10
N G11
N G12
N G13
N G14
N G15
N G16
N G18
N G20
N G25
CONSTANTS
GROWTHLS G8 8.0
GROWTHLS G9 8.4305
GROWTHLS G10 9.5294
GROWTHLS G11 10.4627
GROWTHLS G12 12.0
GROWTHLS G13 13.0205
GROWTHLS G14 14.5949
GROWTHLS G15 16.1078
GROWTHLS G16 18.0596
GROWTHLS G18 20.4569
GROWTHLS G20 24.25
GROWTHLS G25 32.9863
BOUNDS
FR GROWTHLS 'DEFAULT'
START POINT
V GROWTHLS U1 100.0
ELEMENT TYPE
EV FIT U1 U2
EV FIT U3
EP FIT RN
ELEMENT USES
T 'DEFAULT' FIT
V G8 U1 U1
V G8 U2 U2
V G8 U3 U3
P G8 RN 8.0
V G9 U1 U1
V G9 U2 U2
V G9 U3 U3
P G9 RN 9.0
V G10 U1 U1
V G10 U2 U2
V G10 U3 U3
P G10 RN 10.0
V G11 U1 U1
V G11 U2 U2
V G11 U3 U3
P G11 RN 11.0
V G12 U1 U1
V G12 U2 U2
V G12 U3 U3
P G12 RN 12.0
V G13 U1 U1
V G13 U2 U2
V G13 U3 U3
P G13 RN 13.0
V G14 U1 U1
V G14 U2 U2
V G14 U3 U3
P G14 RN 14.0
V G15 U1 U1
V G15 U2 U2
V G15 U3 U3
P G15 RN 15.0
V G16 U1 U1
V G16 U2 U2
V G16 U3 U3
P G16 RN 16.0
V G18 U1 U1
V G18 U2 U2
V G18 U3 U3
P G18 RN 18.0
V G20 U1 U1
V G20 U2 U2
V G20 U3 U3
P G20 RN 20.0
V G25 U1 U1
V G25 U2 U2
V G25 U3 U3
P G25 RN 25.0
GROUP TYPE
GV L2 GVAR
GROUP USES
T 'DEFAULT' L2
E G8 G8
E G9 G9
E G10 G10
E G11 G11
E G12 G12
E G13 G13
E G14 G14
E G15 G15
E G16 G16
E G18 G18
E G20 G20
E G25 G25
OBJECT BOUND
LO GROWTH 0.0
* Solution
*LO SOLTN 0.0
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS GROWTHLS
TEMPORARIES
R LOGRN
R POWER
M LOG
INDIVIDUALS
* Product type elements
T FIT
A LOGRN LOG( RN )
A POWER RN ** ( U2 + LOGRN * U3 )
F U1 * POWER
G U1 POWER
G U2 U1 * POWER * LOGRN
G U3 U1 * POWER * LOGRN ** 2
H U1 U1 0.0
H U1 U2 POWER * LOGRN
H U1 U3 POWER * LOGRN ** 2
H U2 U2 U1 * POWER * LOGRN ** 2
H U2 U3 U1 * POWER * LOGRN ** 3
H U3 U3 U1 * POWER * LOGRN ** 4
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS GROWTHLS
INDIVIDUALS
* Least-square groups
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA