Generalized Quadratic Augmented Lagrangian Methods with Nonmonotone Penalty Parameters

Table 2

Result of Example 3.2.

𝜙𝑖(𝑠)	𝑘	𝑐𝑘	𝑥^𝑘	𝑓(𝑥^𝑘)
𝜙1(𝑠)	1	8.4614	(−0.0072, 0.9963, 1.9907, −1.0058)	−43.8610
	3	24.2390	(−0.0011, 0.9997, 1.9998, −1.0033)	−44.0076
	9	48.5455	(−0.0012, 0.9997, 1.9998, −1.0036)	−44.0083
𝜙2(𝑠)	1	8.4430	(0.0017, 1.0017, 2.0063, −1.0073)	−44.1314
	3	24.7705	(−0.0028, 0.9992, 1.9994, −1.0086)	−44.0186
	9	48.7133	(−0.0014, 0.9996, 1.9997, −1.0044)	−44.0097
𝜙3(𝑠)	1	3.8876	(0.0025, 1.0017, 2.0054, −1.0027)	−44.1018
	3	9.8546	(−0.0027, 0.9992, 1.9994, −1.0085)	−44.0190
	7	48.2683	(0.0005, 1.0002, 2.0006, −0.9987)	−44.0050
𝜙4(𝑠)	1	7.7614	(0.0025, 1.0007, 2.0032, −1.0019)	−44.0657
	3	24.6380	(−0.0023, 0.9993, 1.9995, −1.0072)	−44.0186
	7	48.5943	(−0.0012, 0.9997, 1.9998, −1.0036)	−44.0081