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All issues Volume 29 / No 5 (October 2024) Wuhan Univ. J. Nat. Sci., 29 5 (2024) 403-411 Full HTML
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Table 2

Results of f(x¯) and Tcpu for the tested problems

No. Functions/n f ( x ¯ ) / T c p u
OMFSL SSWLS DY[10] FR[3] Chen and Sun[4]
1 Sphere/100 0/0.062 5 1.924 7E-11/0.312 5 2.169 4E-30/0.171 9 2.169 4E-30/0.078 1 2.169 4E-30/0.265 6
2 Rastrigin/10 0.0/0.004 3.836 9E-13/0.187 5 0/0.015 6 0/0.005 0/0.007
3 Froth/2 7.854 2E-16/0.015 6 2.583 1E-10/2.187 5 1.148 3E-12/0.046 9 5.928 8E-13/0.015 6 F/F
4 Pqd/5 2.707 2E-9/0.046 9 2.001 3E-8/0.078 1 7.629 2E-8/0.015 6 1.6000E-8/0.031 3 9.231 9E-8/0.031 3
5 Ewh/10 2.578 8E-11/0.025 0 1.978 4E-9/0.593 8 F/F 1.008 8E-9/0.031 3 F/F
6 Raydan1/2 0.3/0.015 6 0.3/0.046 9 0.3/0.015 6 0.3/0.015 6 0.3/0.015 6
7 Raydan2/100 9/0.015 6 9/0.062 5 9/0.015 6 9/0.015 6 9/0.015 6
8 Etri/10 2.300 1E-11/0.015 6 F/F 1.304 4E-10/0.015 6 7.070 4E-10/0.015 6 6.3120 E-10/0.015 6
9 Epow/4 1.169 2E-13/0.015 6 7.092 5E-12/0.140 6 4.052 5E-13/0.015 6 9.708 0E-13/0.046 9 8.836 6E-11/0.078 1
10 Wood/4 3.999 3E-9/0.078 1 9.306 7E-10/0.234 4 7.0341 E-10/0.109 4 8.009 0E-11/0.031 3 F/F
11 Ewood/4 2.966 6E-10/0.048 1 F/F 3.848 0E-100.078 1 5.499 0E-10/0.062 5 F/F
12 Perq/3 3.548 7E-10/0.0156 3.870 9E-10/0.015 6 2.891 0E-10/0.015 6 5.533 2E-10/0.031 3 2.783 2E-11/0.078 1
13 Etri1/34 4.211 3E-14/0.031 3 F/F 5.408 7E-10/0.031 3 3.246 5E-10/0.031 3 6.731 8E-11/0.031 3
14 Emic/8 0.108 9/0.156 3 F/F F/F F/F F/F
15 Erosen/20 1.045 3E-9/0.354 9 1.456 5E-11/2.031 3 2.845 6E-9/0.015 6 1.321 7E-9/0.046 9 4.224 8E-9/0.031 3
16 Grosen/3 5.245 9E-10/0.015 6 8.216 8E-10/0.484 4 4.786 7E-9/0.031 3 3.265 7E-9/0.015 6 3.725 3E-12/0.078 1
17 QUARTC/50 3.111 5E-60/0.015 6 F/F 0/0.015 6 0/0.015 6 0/0.015 6
18 LIARWHD/10 4.331 6E-14/0.015 6 F/F 6.953 2E-10/0.015 6 1.923 9E-10/0.015 6 6.228 2E-11/0.015 6
19 Staircase1/4 4.476 1E-9/0.015 6 3.536 8E-10/0.031 3 5.005 0E-9/0.015 6 4.595 9E-9/0.015 6 6.299 0E-9/0.015 6
20 Staircase2/4 1.119 0E-9/0.015 6 1.888 4E-9/0.015 6 7.512 6E-8/0.015 6 6.4898 E-8/0.015 6 9.150 1E-9/0.015 6
21 POWER/20 1.976 9E-10/0.015 6 F/F 1.206 6E-9/0.046 9 3.272 9E-10/0.031 3 7.501 9E-10/0.015 6
22 Diagonal4/4 3.841 6E-14/0.015 6 1.122 0E-10/0.062 5 2.555 0E-14/0.015 6 3.841 6E-14/0.015 6 3.841 6E-14/0.015 6
23 EBD1/2 9.253 8E-13/0.015 6 1.624 6E-11/0.015 6 F/F F/F 2.601 2E-10/0.015 6
24 CUBE/2 F/F 1.161 1E-8/0.265 6 F/F F/F F/F

Note:   F denotes that the method fails to convergence within 5 000 iterations or there exists numerical overflow.

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