An Enhanced Matrix-Free Secant Method via Predictor-Corrector Modified Line Search Strategies for Solving Systems of Nonlinear Equations

Table 1

Numerical comparison of NM, FN, BM, I-VDN, and EMFM methods.

Prob	Dim	NM		FN		BM		I-VDN		EMFM
		NI	CPU	NI	CPU	NI	CPU	NI	CPU	NI	CPU
1	25	4	0.031	11	0.016	8	0.015	8	0.006	6	0.001
2	25	4	0.062	11	0.031	8	0.016	8	0.002	7	0.001
3	25	6	0.031	—	—	10	0.031	10	0.001	7	0.001
1	50	4	0.046	11	0.031	8	0.046	8	0.011	6	0.008
2	50	4	0.109	11	0.062	8	0.034	8	0.010	7	0.005
3	50	6	0.156	—	—	10	0.124	10	0.008	7	0.004
1	100	4	0.064	11	0.032	8	0.048	8	0.014	6	0.010
2	100	4	0.125	11	0.046	8	0.032	8	0.015	7	0.011
3	100	6	0.508	—	—	10	0.187	10	0.031	7	0.015
1	1000	4	1.919	12	0.7332	9	2.122	9	0.033	6	0.018
2	1000	4	2.277	12	0.998	8	1.778	8	0.049	5	0.031
3	1000	6	88.031	—	—	10	13.057	10	0.041	7	0.024