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

Table 1

Numerical results for Example 1 by Algorithm 7.

𝑗	𝑥^∗𝑗	𝑞𝑗	𝜖𝑗	𝑔1(𝑥^∗𝑗)	𝑔2(𝑥^∗𝑗)	𝑓(𝑥^∗𝑗)
0	0.78110471.057024	5	0.1	0.0430043	−2.904718	3.333603
1	0.72608870.3992826	50	0.05	−0.7777236	0.000935	1.836004
2	0.72447940.3991450	500	0.025	−0.7737306	−0.000683	1.838842
3	0.72450650.3990242	5000	0.0175	−0.7738962	−0.000016	1.837684