Smoothing Approximation to the Square-Order Exact Penalty Functions for Constrained Optimization

Table 6

Numerical results for Example 2 by Algorithm 11.

𝑗	𝑥^∗𝑗	𝑞𝑗	𝜖𝑗	𝑔1(𝑥^∗𝑗)	𝑔2(𝑥^∗𝑗)	𝑔3(𝑥^∗𝑗)	𝑓(𝑥^∗𝑗)
0	(0.1670927,0.8365505,2.011684,−0.9752350)	2	1.0	−0.001971	0.043152	−1.815266	−44.31766
1	(0.1692354,0.8394703,2.006255,−0.9683554)	4	0.1	−0.003364	0.000497	−1.862336	−44.23219
2	(0.1691869,0.8394533,2.006037,−0.9682074)	8	0.01	−0.004265	−0.001105	−1.863955	−44.22833