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

Table 4

Test results for Example 18.

𝑚	Method	𝑓(𝑥^∗)	𝑔max(𝑥^∗)	IT	𝑁𝑠	Time
10^2	ACH	5.3347	−4.4409e − 16	1605	—	0.7546
	KNITRO	1.2000e + 05	−3.9900e + 02	2	—	0.0141
	FACH	5.3347	1.3323e − 15	815	288	0.2977
	MFACH	5.3347	1.3323e − 15	820	293	0.3004
10^4	ACH	5.3347	−4.4409e − 16	1605	—	7.0581
	KNITRO	1.2000e + 05	−3.9900e + 02	2	—	0.3163
	FACH	5.3347	1.3323e − 15	815	288	1.3127
	MFACH	5.3347	1.3323e − 15	820	294	1.3185
10^6	ACH	5.3347	1.3323e − 15	1606	—	575.4663
	KNITRO	1.2000e + 05	−3.9900e + 02	2	—	3243.2201
	FACH	5.3347	−9.2480e − 08	960	6444	42.7664
	MFACH	5.3347	−1.1278e − 07	931	7094	41.7933