Research Article

A Nonmonotone Weighting Self-Adaptive Trust Region Algorithm for Unconstrained Nonconvex Optimization

Table 1

Test problems.

Number Problem name

1 Helical valley function
2 Biggs EXP6 function
3 Gaussian function
4 Box function
5 Variable dimension function
6 Watson function
7 Penalty function I
8 Penalty function II
9 Brown badly scaled function
10 Brown and Dennis function
11 Gulf function
12 Extended Rosenbrock function
13 Beale function
14 Wood function
15 Chebyquad function
16 Boundary value function
17 Separable cubic function
18 Powell singular function
19 Linear function, full rank
20 Linear function, rank 1
21 FLETCHCR function
22 BDQRTIC function
23 TRIDIA function
24 ARGLINB function
25 ARWHEAD function
26 NONDIA function
27 NONDQUAR function
28 Generalized Rosenbrock function
29 Broyden tridiagonal function
30 Allgower function
31 EG2 function
32 CURLY20 function
33 LIARWHD function
34 POWER function
35 ENGVAL1 function
36 ARGLINC function
37 NONSCOMP function
38 VARDIM function
39 QUARTC function
40 Extended DENSCHNB function
41 Extended DENSCHNF function
42 DIXON3DQ function
43 BiGGSB1 function
44 Nearly separable function
45 Schittkowski function 302
46 Discrete integral equation function
47 DQDRTIC function
48 EDENSCH function
49 Bdexp function
50 COSINE function
51 HIMMELBG function