-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathHS77.SIF
185 lines (125 loc) · 3.28 KB
/
HS77.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
***************************
* SET UP THE INITIAL DATA *
***************************
NAME HS77
* Problem :
* *********
* Source: problem 77 in
* W. Hock and K. Schittkowski,
* "Test examples for nonlinear programming codes",
* Lectures Notes in Economics and Mathematical Systems 187, Springer
* Verlag, Heidelberg, 1981.
* SIF input: A. Conn and Ph. Toint, March 1991
* classification OOR2-AY-5-2
* some useful parameters, including N, the number of variables.
IE N 5
IE 1 1
RF RT2 SQRT 2.0
RM C1 RT2 2.0
RA C2 RT2 8.0
VARIABLES
DO I 1 N
X X(I)
ND
GROUPS
N O1 X1 1.0
N O2 X1 1.0 X2 -1.0
N O3 X3 1.0
N O4 X4 1.0
N O5 X5 1.0
E CON1
E CON2 X2 1.0
CONSTANTS
X HS77 'DEFAULT' 1.0
X HS77 O2 0.0
Z HS77 CON1 C1
Z HS77 CON2 C2
BOUNDS
FR HS77 'DEFAULT'
START POINT
V HS77 'DEFAULT' 2.0
ELEMENT TYPE
EV SQLN V1 V2
EV SINE V1 V2
IV SINE U1
EV QDSQ V1 V2
ELEMENT USES
T E5 SQLN
V E5 V1 X1
V E5 V2 X4
T E6 SINE
V E6 V1 X4
V E6 V2 X5
T E7 QDSQ
V E7 V1 X3
V E7 V2 X4
GROUP TYPE
GV L2 GVAR
GV L4 GVAR
GV L6 GVAR
GROUP USES
T O1 L2
T O2 L2
T O3 L2
T O4 L4
T O5 L6
E CON1 E5 E6
E CON2 E7
OBJECT BOUND
* sum of squares is trivially bounded below by zero
LO HS77 0.0
* Solution
*LO SOLTN 0.24150513
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HS77
TEMPORARIES
R SV1MV2
R CV1MV2
M SIN
M COS
INDIVIDUALS
T SQLN
F V1**2 * V2
G V1 2.0 * V1 * V2
G V2 V1**2
H V1 V1 2.0 * V2
H V1 V2 2.0 * V1
T SINE
R U1 V1 1.0 V2 -1.0
A SV1MV2 SIN(U1)
A CV1MV2 COS(U1)
F SV1MV2
G U1 CV1MV2
H U1 U1 -SV1MV2
T QDSQ
F V1**4 * V2**2
G V1 4.0 * V1**3 * V2**2
G V2 2.0 * V1**4 * V2
H V1 V1 12.0 * V1**2 * V2**2
H V1 V2 8.0 * V1**3 * V2
H V2 V2 2.0 * V1**4
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HS77
* Least-square groups
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
T L4
F GVAR**4
G 4.0 * GVAR**3
H 12.0 * GVAR**2
T L6
F GVAR**6
G 6.0 * GVAR**5
H 30.0 * GVAR**4
ENDATA