Generalized Quadratic Augmented Lagrangian Methods with Nonmonotone Penalty Parameters

Table 1

Result of Example 3.1.

𝜙𝑖(𝑠)	𝑘	𝑐𝑘	𝑥^𝑘	𝑓(𝑥^𝑘)
𝜙1(𝑠)	1	2.5147	(0.6722, 0.6722)	0.4029
	4	2.5147	(0.6950, 0.6950)	0.3675
	6	2.5147	(0.7071, 0.7071)	0.3431
𝜙2(𝑠)	1	10.4139	(0.6612, 0.6612)	0.3924
	3	10.4139	(0.6981, 0.6981)	0.3526
	5	10.4139	(0.7071, 0.7071)	0.3432
𝜙3(𝑠)	1	17.5462	(0.6517, 0.6517)	0.3676
	3	17.5462	(0.6992, 0.6992)	0.3450
	5	17.5462	(0.7071, 0.7071)	0.3432
𝜙4(𝑠)	1	17.5462	(0.6388, 0.6388)	0.3033
	3	17.5462	(0.7273, 0.7273)	0.3230
	5	17.5462	(0.7071, 0.7071)	0.3431