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

Table 6

Test results for Example 20.

𝑚	Method	𝑓(𝑥^∗)	𝑔max(𝑥^∗)	IT	𝑁𝑠	Time
10^2	ACH	2.4305	0.0000	342	—	0.1749
	KNITRO	2.4305	−1.3822e − 10	21	—	0.0291
	FACH	2.4305	2.2204e − 16	348	387	0.1368
	MFACH	2.4305	2.2204e − 16	341	374	0.1276
10^4	ACH	2.4305	−6.6632e − 09	344	—	0.9804
	KNITRO	2.4305	−1.6180e − 10	38	—	1.0329
	FACH	2.4305	−6.6632e − 09	296	14710	0.2610
	MFACH	2.4305	−6.6632e − 09	358	23559	0.2802
10^6	ACH	2.4305	−4.9783e − 08	344	—	94.3943
	KNITRO	2.6182	−1.2609e − 04	61	—	2372.2093
	FACH	—	—	—	—	fail^1
	MFACH	2.4305	−4.9021e − 08	516	2231308	16.3756