The Flattened Aggregate Constraint Homotopy Method for Nonlinear Programming Problems with Many Nonlinear Constraints

Table 5

Test results for Example 19.

𝑚	Method	𝑓(𝑥^∗)	𝑔max(𝑥^∗)	IT	𝑁𝑠	Time
10^2	ACH	97.1589	0.0000	213	—	0.0964
	KNITRO	97.1592	−7.5266 − 05	68	—	0.5162
	FACH	97.1589	0.0000	170	191	0.0795
	MFACH	97.1589	0.0000	160	183	0.0608
10^4	ACH	97.1589	0.0000	227	—	0.5310
	KNITRO	102.2095	−6.7465 − 01	263	—	15.4868
	FACH	97.1589	0.0000	249	10926	0.2846
	MFACH	97.1589	0.0000	251	11321	0.2783
10^6	ACH	97.1589	0.0000	229	—	50.8763
	KNITRO	188.9496	−8.3841e − 01	17	—	2206.4660
	FACH	97.1589	0.0000	334	427520	9.5724
	MFACH	97.1589	0.0000	253	486506	6.8910