Particle Swarm Optimization-Proximal Point Algorithm for Nonlinear Complementarity Problems

Table 3

The results of PSO-PPA algorithm and PPA algorithm [16]. Here, we take the initial point (4, 4, 4, 4), and 𝛼=0.8.

The outer loop frequency	The results of PPA algorithm [16]	The optimal solutions of the inner PSO algorithm	Optimal value searched of PSO-PPA algorithm
0	7.8𝑒+00	No initial point	0.0000452980
1	1.3𝑒+00	(1.2219250440, 0.00078655, 0.0001577908, 0.5062041930)	0.0000204037
2	2.7𝑒−01	(1.2241342825, 0.0002446163, 0.0010401665, 0.5009627573)	0.0000041382
3	1.1−01	(1.2244250916, 0.0001641937, 0.0017222716, 0.5002389457)	0.0000034146
4	6.8𝑒−02	(1.2243865723, 0.0001146427, 0.0019498208, 0.5001595384)	0.0000033836