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

Table 3

Results of Algorithm 1 for Powell singular function with initial point , stopping criterion , with (left), (right).

Iters		Function	Iters		Function
1	2.2939e + 02	1.4663e + 01	1	2.2939e + 02	1.4663e + 01
2	2.8045e + 01	3.2215e + 00	2	2.8225e + 01	3.8978e + 00
3	3.5733e + 00	8.0103e − 01	3	3.8543e + 00	8.5906e − 01
4	4.4698e – 01	2.0026e − 01	4	4.8608e − 01	2.1471e − 01
5	5.5873e – 02	5.0065e − 02	5	6.0763e − 02	5.3678e − 02
6	6.9842e – 03	1.2516e − 02	6	7.5954e − 03	1.3419e − 02
7	8.7302e – 04	3.1291e − 03	7	9.4943e − 04	3.3549e − 03
8	1.0913e – 04	7.8227e − 04	8	1.1868e − 04	8.3872e − 04
9	1.3641e – 05	1.9557e − 04	9	1.4835e − 05	2.0968e − 04
10	1.7051e – 06	4.8892e − 05	10	1.8544e − 06	5.2420e − 05