-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathHAGER2.SIF
158 lines (109 loc) · 2.95 KB
/
HAGER2.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
***************************
* SET UP THE INITIAL DATA *
***************************
NAME HAGER2
* Problem :
* *********
* A nonlinear optimal control problem, by W. Hager.
* Source: problem P2 in
* W.W. Hager,
* "Multiplier Methods for Nonlinear Optimal Control",
* SIAM J. on Numercal Analysis 27(4): 1061-1080, 1990.
* SIF input: Ph. Toint, March 1991.
* classification OLR2-AN-V-V
* Number of discretized points in [0,1]
*IE N 10 $-PARAMETER original value
*IE N 50 $-PARAMETER
*IE N 100 $-PARAMETER
*IE N 500 $-PARAMETER
*IE N 1000 $-PARAMETER
IE N 2500 $-PARAMETER
*IE N 5000 $-PARAMETER
* Mesh
IA N-1 N -1
RI RN N
RD H RN 1.0
RM 4/H RN 4.0
RM 6/H RN 6.0
RA 1/H-1/4 RN -0.25
RM -1/H RN -1.0
RA -1/H-1/4 -1/H -0.25
* Constants
IE 0 0
IE 1 1
VARIABLES
DO I 0 N
X X(I)
ND
DO I 1 N
X U(I)
ND
GROUPS
DO I 1 N
ZN OX(I) 'SCALE' 6/H
XN U(I)SQ U(I) 1.0
ZN U(I)SQ 'SCALE' 4/H
ND
DO I 1 N
IA I-1 I -1
ZE S(I) X(I) 1/H-1/4
ZE S(I) X(I-1) -1/H-1/4
XE S(I) U(I) -1.0
ND
BOUNDS
FR HAGER2 'DEFAULT'
XX HAGER2 X(0) 1.0
START POINT
XV HAGER2 X(0) 1.0
ELEMENT TYPE
EV LINSQ XA XB
ELEMENT USES
XT 'DEFAULT' LINSQ
DO I 1 N
IA I-1 I -1
ZV E(I) XA X(I-1)
ZV E(I) XB X(I)
ND
GROUP TYPE
GV L2 GVAR
GROUP USES
DO I 1 N
XE OX(I) E(I)
XT U(I)SQ L2
ND
OBJECT BOUND
LO HAGER2 0.0
* Solution
*LO SOLTN(10) 0.4325699689
*LO SOLTN(50) 0.4321017503
*LO SOLTN(100) 0.4320871769
*LO SOLTN(500) 0.4320824457
*LO SOLTN(1000) 0.4320822986
*LO SOLTN(5000) 0.4320822506
ENDATA
***********************
* SET UP THE FUNCTION *
* AND RANGE ROUTINES *
***********************
ELEMENTS HAGER2
INDIVIDUALS
T LINSQ
F XA * XA + XA * XB + XB * XB
G XA 2.0 * XA + XB
G XB 2.0 * XB + XA
H XA XA 2.0
H XA XB 1.0
H XB XB 2.0
ENDATA
*********************
* SET UP THE GROUPS *
* ROUTINE *
*********************
GROUPS HAGER2
* Least-square groups
INDIVIDUALS
T L2
F GVAR * GVAR
G GVAR + GVAR
H 2.0
ENDATA