Research Article

A Spectral Dai-Yuan-Type Conjugate Gradient Method for Unconstrained Optimization

Table 1

Test problems.

Number Function name

1 ENGVAL1
2 FLETCBV2
3 TOINTGSS
4 COSINE
5 ARWHEAD
6 EDENSCH
7 EG2
8 GENROSE
9 LIARWHD
10 Generalized White & Holst
11 Extended Wood
12 Extended quadratic penalty QP1
13 BDEXP
14 HIMMELBG
15 Hager
16 Extended TET
17 Diagonal 5
18 Extended Himmelblau
19 Diagonal 6
20 Extended DENSCHNF
21 LIARWHD
22 Extended BD1
23 Extended Hiebert
24 Extended Tridiagonal 2
25 QUARTC
26 Extended DENSCHNB
27 Extended Rosenbrock
28 Raydan 2
29 Diagonal 2
30 Diagonal 4
31 Extended Maratos
32 Quadratic QF1
33 Extended quadratic exponential EP1
34 DQDRTIC
35 NONSCOMP
36 Extended Freudenstein & Roth
37 Extended White & Holst
38 Raydan 1
39 Extended Tridiagonal 1
40 Extended Cliff
41 Extended Trigonometric
42 Extended Beale
43 Generalized Tridiagonal 1
44 Generalized PSC1
45 Extended PSC1
46 Extended Powell
47 BDQRTIC
48 FLETCBV3
49 FLETCHCR
50 FREUROTH
51 GENHUMPS
52 NONDIA
53 NONDQUAR
54 SROSENBR
55 TQUARTIC
56 Extended Penalty