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

Table 2

Test results for Example 16.

𝑚	Method	𝑓(𝑥^∗)	𝑔max(𝑥^∗)	IT	𝑁𝑠	Time
10^2	ACH	1.0000	−1.3863e − 08	394	—	0.2423
	KNITRO	1.0000	−7.1233e − 10	18	—	0.2288
	FACH	1.0000	−1.3863e − 08	541	721	0.3270
	MFACH	1.0000	−1.3863e − 08	567	823	0.2692
10^4	ACH	1.0000	−1.3863e − 08	397	—	1.9730
	KNITRO	1.0000	−8.0005e − 10	20	—	0.7227
	FACH	1.0000	−1.3863e − 08	541	721	0.4359
	MFACH	1.0000	−1.3863e − 08	567	823	0.4676
10^6	ACH	1.0000	−1.3863e − 08	404	—	249.3395
	KNITRO	1.0000	−7.8830e − 10	13	—	2170.4301
	FACH	1.0000	−1.3863e − 08	541	805	10.9486
	MFACH	1.0000	−1.3863e − 08	567	907	11.2815