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

Table 4

Numerical results for Example 2 by Algorithm 7.

𝑗	𝑥^∗𝑗	𝑞𝑗	𝜖𝑗	𝑔1(𝑥^∗𝑗)	𝑔2(𝑥^∗𝑗)	𝑔3(𝑥^∗𝑗)	𝑓(𝑥^∗𝑗)
0	()1.139751,1.272704,3.819159,1.997231	2	1.0	15.35879	19.17715	17.95990	−70.16554
1	()0.1705428,0.8361722,2.011177,−0.9678533	4	10^−1	0.0115902	0.0232417	−1.856925	−44.28859
2	()0.1335792,0.8091212,1.995527,−1.008688	8	10^−2	−0.2599155	0.0007742	−1.780662	−44.02616
3	()0.1585001,0.8339736,2.014753,−0.959688	16	10^−3	−0.00367924	−0.0003119	−1.881673	−44.22965