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Table 1 Test problems

From: A modified three-term PRP conjugate gradient algorithm for optimization models

No. Problems \(\boldsymbol{x_{0}}\)
1 Extended Freudenstein and Roth function [0.5,−2,…,0.5,−2]
2 Extended trigonometric function [0.2,0.2,…,0.2]
3 Extended Rosenbrock function [−1.2,1,−1.2,1,…,−1.2,1]
4 Extended White and Holst function [−1.2,1,−1.2,1,…,−1.2,1]
5 Extended Beale function [1,0.8,…,1,0.8]
6 Extended penalty function [1,2,3,…,n]
7 Perturbed quadratic function [0.5,0.5,…,0.5]
8 Raydan 1 function [1,1,…,1]
9 Raydan 2 function [1,1,…,1]
10 Diagonal 1 function [1/n,1/n,…,1/n]
11 Diagonal 2 function [1/1,1/2,…,1/n]
12 Diagonal 3 function [1,1,…,1]
13 Hager function [1,1,…,1]
14 Generalized tridiagonal 1 function [2,2,…,2]
15 Extended tridiagonal 1 function [2,2,…,2]
16 Extended three exponential terms function [0.1,0.1,…,0.1]
17 Generalized tridiagonal 2 function [−1,−1,…,−1,−1]
18 Diagonal 4 function [1,1,…,1,1]
19 Diagonal 5 function [1.1,1.1,…,1.1]
20 Extended Himmelblau function [1,1,…,1]
21 Generalized PSC1 function [3,0.1,…,3,0.1]
22 Extended PSC1 function [3,0.1,…,3,0.1]
23 Extended Powell function [3,−1,0,1,…]
24 Extended block diagonal BD1 function [0.1,0.1,…,0.1]
25 Extended Maratos function [1.1,0.1,…,1.1,0.1]
26 Extended Cliff function [0,−1,…,0,−1]
27 Quadratic diagonal perturbed function [0.5,0.5,…,0.5]
28 Extended Wood function [−3,−1,−3,−1,…,−3,−1]
29 Extended Hiebert function [0,0,…,0]
30 Quadratic QF1 function [1,1,…,1]
31 Extended quadratic penalty QP1 function [1,1,…,1]
32 Extended quadratic penalty QP2 function [1,1,…,1]
33 Quadratic QF2 function [0.5,0.5,…,0.5]
34 Extended EP1 function [1.5.,1.5.,…,1.5]
35 Extended tridiagonal-2 function [1,1,…,1]
36 BDQRTIC function (CUTE) [1,1,…,1]
37 TRIDIA function (CUTE) [1,1,…,1]
38 ARWHEAD function (CUTE) [1,1,…,1]
39 NONDIA (Shanno-78) function (CUTE) [−1,−1,…,−1]
40 NONDQUAR function (CUTE) [1,−1,1,−1,…,1,−1]
41 DQDRTIC function (CUTEr) [3,3,3...,3]
42 EG2 function (CUTE) [1,1,1...,1]
43 DIXMAANA function (CUTE) [2,2,2,…,2]
44 DIXMAANB function (CUTE) [2,2,2,…,2]
45 DIXMAANC function (CUTE) [2,2,2,…,2]
46 DIXMAANE function (CUTE) [2,2,2,…,2]
47 Partial perturbed quadratic function [0.5,0.5,…,0.5]
48 Broyden tridiagonal function [−1,−1,…,−1]
49 Almost perturbed quadratic function [0.5,0.5,…,0.5]
50 Tridiagonal perturbed quadratic function [0.5,0.5,…,0.5]
51 EDENSCH function (CUTE) [0,0,…,0]
52 VARDIM function (CUTE) [1 − 1/n,1 − 2/n,…,1 − n/n]
53 STAIRCASE S1 function [1,1,…,1]
54 LIARWHD function (CUTEr) [4,4,…,4]
55 DIAGONAL 6 function [1,1,…,1]
56 DIXON3DQ function (CUTE) [−1,−1,…,−1]
57 DIXMAANF function (CUTE) [2,2,2,…,2]
58 DIXMAANG function (CUTE) [2,2,2,…,2]
59 DIXMAANH function (CUTE) [2,2,2,…,2]
60 DIXMAANI function (CUTE) [2,2,2,…,2]
61 DIXMAANJ function (CUTE) [2,2,2,…,2]
62 DIXMAANK function (CUTE) [2,2,2,…,2]
63 DIXMAANL function (CUTE) [2,2,2,…,2]
64 DIXMAAND function (CUTE) [2,2,2,…,2]
65 ENGVAL1 function (CUTE) [2,2,2,…,2]
66 FLETCHCR function (CUTE) [0,0,…,0]
67 COSINE function (CUTE) [1,1,…,1]
68 Extended DENSCHNB function (CUTE) [1,1,…,1]
69 DENSCHNF function (CUTEr) [2,0,2,0,…,2,0]
70 SINQUAD function (CUTE) [0.1,0.1,…,0.1]
71 BIGGSB1 function (CUTE) [0,0,…,0]
72 Partial perturbed quadratic PPQ2 function [0.5,0.5,…,0.5]
73 Scaled quadratic SQ1 function [1,2,…,n]
74 Scaled quadratic SQ2 function [1,2,…,n]