A New Filled Function Method with One Parameter for Global Optimization

Table 3

The results obtained by the proposed algorithm and the algorithm in [14].

No.	The proposed algorithm			The algorithm of the literature [14]
	𝑞	𝑥^∗𝑘	times	𝑞	𝑥^∗𝑘	times
2 (𝑐=0.2); (𝑛=2)	78.5510	(1.5909; −0.2703); (0.9997; −0.0005); (1.8784; −0.3458); (0.9820; −0.0565)	0.341403	500.3	(1.8784; −0.3458)	1.097546
2 (𝑐=0.5); (𝑛=2)	67.5000	(1; 0); (1.5872; −0.2606); (1.8973; −0.3005)	0.175545	641.5	(1.0000; −2.2205𝑒−14)	0.548026
2 (𝑐=0.05); (𝑛=2)	80.7500	(1.8513; −0.4021); (1.5975; −0.2874)	0.548172	262.3	(1.8513; −0.4020)	0.726323
3 (𝑛=2)	67.9796	(0; 0)	0.135797	564	(0; 0)	1.017142
4 (𝑛=2)	84.2449	(0.0898; 0.7127); (−0.0898; −0.7127)	0.162335	551	(0.0898; 0.7127); (−0.0898; −0.7127)	0.453289
5 (𝑛=2)	53.1224	(0; 0); (−2; 0)	0.350461	632	(0; 0)	0.613838
6 (𝑛=2)	64.9796	(0; −1)	0.135588	852.7	(0; −1)	0.356531
7 (𝑛=2)	625.4898	(4.8581; 5.4829); (5.4829; 4.8581)	0.126097	6468	(5.4829; 4.8581)	0.274596
8 (𝑛=4)	357.1429	(4.0000; 4.0001; 4.0000; 4.0001)	0.425600	513	(4.0000; 4.0001; 4.0000; 4.0001)	0.701534
9 (𝑛=2)	107.6939	(1; 1)	0.126054	663	(1; 1)	0.707344
9 (𝑛=3)	90.1429	(1; 1; 1)	0.135507	624.7	(1; 1; 1)	0.212676
9 (𝑛=7)	6028	(1.0000; 1.0000; 1.0001; 1.0001; 1.0001; 1.0001; 1.0003)	1.067376	14678	(1.0000; 1.0000; 1.0000; 1.0000; 1.0000; 1.0000; 1.0000)	1.105676
9 (𝑛=10)	6027	(1.0000; 1.0001; 1.0000; 1.0000; 1.0003; 1.0000; 1.0000; 1.0000; 1.0000; 1.0001)	0.123788	31351	(1.0000; 1.0000; 1.0000; 1.0000; 1.0000; 1.0000; 1.0000; 1.0000; 1.0000; 1.0000)	0.282408