A New Modified Levenberg–Marquardt Method for Systems of Nonlinear Equations

Table 4

Numerical results for Example 3 with stopping criterion and .

	BMLM			Algorithm 1
	Iters			Iters
	0	3.0000e − 03	1.2024e − 01	0	3.0000e − 03	1.2024e − 01
	1	7.4925e − 05	2.9972e − 03	1	2.0172e − 06	8.0690e − 05
	2	1.8275e − 06	7.3101e − 05	2	2.1694e − 12	8.6779e − 11
	3	4.4533e − 08	1.7813e − 06
	4	1.0848e − 09	4.3391e − 08
	5	2.6414e − 11	1.0566e − 09
	0	3.0000e − 03	1.2024e − 01	0	3.0000e − 03	1.2024e − 01
	1	2.7707e − 05	1.1083e − 03	1	2.0124e − 06	8.0494e − 05
	2	2.3212e − 08	9.2849e − 07	2	9.1660e − 13	3.6671e − 11
	3	5.5911e − 13	2.2368e − 11
	0	3.0000e − 03	1.2024e − 01	0	3.0000e − 03	1.2024e − 01
	1	1.0971e − 05	4.3884e − 04	1	2.0107e − 06	8.0427e − 05
	2	1.4727e − 10	5.8908e − 09	2	9.0372e − 13	3.6152e − 11
				0	3.0000e − 03	1.2024e − 01
				1	2.0101e − 06	8.0403e − 05
				2	9.0328e − 13	3.6138e − 11
				0	3.0000e − 03	1.2024e − 01
				1	2.0099e − 06	8.0395e − 05
				2	9.0328e − 13	3.6138e − 11