7.13 Interior Penalty Function Method 439Table 7.4 Results for Example 7.8
Number of
Starting point iterations taken
for minimizing for minimizing
k Value ofrk φk φk OptimumX∗k φ∗k fk∗1 1.0× 100
0. 1
0. 1
3. 0
9
0. 37898
1. 67965
2. 34617
10.36219 5.707662 1.0× 10 −^1
0. 37898
1. 67965
2. 34617
7
0. 10088
1. 41945
1. 68302
4.12440 2.732673 1.0× 10 −^2
0. 10088
1. 41945
1. 68302
5
0. 03066
1. 41411
1. 49842
2.25437 1.830124 1.0× 10 −^3
0. 03066
1. 41411
1. 49842
3
0. 009576
1. 41419
1. 44081
1.67805 1.545605 1.0× 10 −^4
0. 009576
1. 41419
1. 44081
7
0. 003020
1. 41421
1. 42263
1.49745 1.455796 1.0× 10 −^5
0. 003020
1. 41421
1. 42263
3
0. 0009530
1. 41421
1. 41687
1.44052 1.427357 1.0× 10 −^6
0. 0009530
1. 41421
1. 41687
3
0. 0003013
1. 41421
1. 41505
1.42253 1.418378 1.0× 10 −^7
0. 0003013
1. 41421
1. 41505
3
0. 00009535
1. 41421
1. 41448
1.41684 1.415539 1.0× 10 −^8
0. 00009535
1. 41421
1. 41448
5
0. 00003019
1. 41421
1. 41430
1.41505 1.4146310 1.0× 10 −^9
0. 00003019
1. 41421
1. 41430
4
0. 000009567
1. 41421
1. 41424
1.41448 1.4143511 1.0× 10 −^10
0. 000009567
1. 41421
1. 41424
3
0. 00003011
1. 41421
1. 41422
1.41430 1.4142612 1.0× 10 −^11
0. 000003011
1. 41421
1. 41422
3
0. 9562 × 10 −^6
1. 41421
1. 41422
1.41424 1.4142313 1. 0 × 10 −^12
0. 9562 × 10 −^6
1. 41421
1. 41422
4
0. 3248 × 10 −^6
1. 41421
1. 41421
1.41422 1.41422