Theory and Modern Applications
Table 1 List of test problems, dimensions, and initial points
Number | Problems | Dimensions | Initial points |
|---|---|---|---|
1 | Extended White & Holst | 1000 | (−1.2,1,…,−1.2,1) |
2 | Extended White & Holst | 1000 | (10,…,10) |
3 | Extended White & Holst | 10,000 | (−1.2,1,…,−1.2,1) |
4 | Extended White & Holst | 10,000 | (5,…,5) |
5 | Extended Rosenbrock | 1000 | (−1.2,1,…,−1.2,1) |
6 | Extended Rosenbrock | 1000 | (10,…,10) |
7 | Extended Rosenbrock | 10,000 | (−1.2,1,…,−1.2,1) |
8 | Extended Rosenbrock | 10,000 | (5,…,5) |
9 | Extended Freudenstein & Roth | 10,000 | (−5,…,−5) |
10 | Extended Freudenstein & Roth | 50,000 | (−5,…,−5) |
11 | Extended Beale | 1000 | (1,0.8,…,1,0.8) |
12 | Extended Beale | 1000 | (0.5,…,0.5) |
13 | Extended Beale | 10,000 | (−1,…,−1) |
14 | Extended Beale | 10,000 | (0.5,…,0.5) |
15 | Raydan 1 | 10 | (1,…,1) |
16 | Raydan 1 | 10 | (−10,…,−10) |
17 | Raydan 1 | 100 | (−1,…,−1) |
18 | Raydan 1 | 100 | (−10,…,−10) |
19 | Extended tridiagonal 1 | 500 | (2,…,2) |
20 | Extended tridiagonal 1 | 500 | (10,…,10) |
21 | Extended tridiagonal 1 | 1000 | (1,…,1) |
22 | Extended tridiagonal 1 | 1000 | (−10,…,−10) |
23 | Diagonal 4 | 500 | (1,…,1) |
24 | Diagonal 4 | 500 | (−20,…,−20) |
25 | Diagonal 4 | 1000 | (1,…,1) |
26 | Diagonal 4 | 1000 | (−30,…,−30) |
27 | Extended Himmelblau | 1000 | (1,…,1) |
28 | Extended Himmelblau | 1000 | (20,…,20) |
29 | Extended Himmelblau | 10,000 | (−1,…,−1) |
30 | Extended Himmelblau | 10,000 | (50,…,50) |
31 | FLETCHCR | 10 | (0,…,0) |
32 | FLETCHCR | 10 | (10,…,10) |
33 | Extended Powel | 100 | (3,−1,0,1,…) |
34 | Extended Powel | 100 | (5,…,5) |
35 | NONSCOMP | 2 | (3,3) |
36 | NONSCOMP | 2 | (10,10) |
37 | Extended DENSCHNB | 10 | (1,…,1) |
38 | Extended DENSCHNB | 10 | (10,…,10) |
39 | Extended DENSCHNB | 100 | (10,…,10) |
40 | Extended DENSCHNB | 100 | (−50,…,−50) |
41 | Extended penalty | 10 | (1,2,…,10) |
42 | Extended penalty | 10 | (−10,…,−10) |
43 | Extended penalty | 100 | (1,…,1) |
44 | Extended penalty | 100 | (−2,…,−2) |
45 | Hager | 10 | (1,…,1) |
46 | Hager | 10 | (−10,…,−10) |
47 | Extended Maratos | 10 | (1.1,0.1,…,1.1,) |
48 | Extended Maratos | 10 | (−1,…,−1) |
49 | Six hump camel | 2 | (−1,2) |
50 | Six hump camel | 2 | (−5,10) |
51 | Three hump camel | 2 | (−1,2) |
52 | Three hump camel | 2 | (2,−1) |
53 | Booth | 2 | (5,5) |
54 | Booth | 2 | (10,10) |
55 | Trecanni | 2 | (−1,0.5) |
56 | Trecanni | 2 | (−5,10) |
57 | Zettl | 2 | (−1,2) |
58 | Zettl | 2 | (10,10) |
59 | Shallow | 1000 | (0,…,0) |
60 | Shallow | 1000 | (10,…,10) |
61 | Shallow | 10,000 | (−1,…,−1) |
62 | Shallow | 10,000 | (−10,…,−10) |
63 | Generalized quartic | 1000 | (5,…,5) |
64 | Generalized quartic | 1000 | (20,…,20) |
65 | Quadratic QF2 | 50 | (0.5,…,0.5) |
66 | Quadratic QF2 | 50 | (30,…,30) |
67 | Leon | 2 | (2,2) |
68 | Leon | 2 | (8,8) |
69 | Generalized tridiagonal 1 | 10 | (2,…,2) |
70 | Generalized tridiagonal 1 | 10 | (10,…,10) |
71 | Generalized tridiagonal 2 | 4 | (1,1,1,1) |
72 | Generalized tridiagonal 2 | 4 | (10,10,10,10) |
73 | POWER | 10 | (1,…,1) |
74 | POWER | 10 | (10,…,10) |
75 | Quadratic QF1 | 50 | (1,…,1) |
76 | Quadratic QF1 | 50 | (10,…,10) |
77 | Quadratic QF1 | 500 | (1,…,1) |
78 | Quadratic QF1 | 500 | (−5,…,−5) |
79 | Extended quadratic penalty QP2 | 100 | (1,…,1) |
80 | Extended quadratic penalty QP2 | 100 | (10,…,10) |
81 | Extended quadratic penalty QP2 | 500 | (10,…,10) |
82 | Extended quadratic penalty QP2 | 500 | (20,…,20) |
83 | Extended quadratic penalty QP1 | 4 | (1,1,1,1) |
84 | Extended quadratic penalty QP1 | 4 | (10,10,10,10) |
85 | Quartic | 4 | (10,10,10,10) |
86 | Quartic | 4 | (15,15,15,15) |
87 | Matyas | 2 | (1,1) |
88 | Matyas | 2 | (20,20) |
89 | Colville | 4 | (2,2,2,2) |
90 | Colville | 4 | (10,10,10,10) |
91 | Dixon and Price | 3 | (1,1,1) |
92 | Dixon and Price | 3 | (10,10,10) |
93 | Sphere | 5000 | (1,…,1) |
94 | Sphere | 5000 | (10,…,10) |
95 | Sum squares | 50 | (0,1,…,0,1) |
96 | Sum squares | 50 | (10,…,10) |
97 | ENGVAL1 | 50 | (2,…,2) |
98 | ENGVAL1 | 100 | (2,…,2) |
99 | ENGVAL8 | 50 | (0,…,0) |
100 | ENGVAL8 | 100 | (0,…,0) |
101 | QUARTICM | 5000 | (2,…,2) |
102 | QUARTICM | 10,000 | (2,…,2) |
103 | QUARTICM | 15,000 | (2,…,2) |
104 | QUARTICM | 20,000 | (2,…,2) |