Research Article

A Modified Nonlinear Conjugate Gradient Method for Engineering Computation

Table 6

The numerical results of Freudenstein and Roth function for different scheme.

Algorithm ADY (given by formula (10)) algorithm

Froth (0.5, −2) (0.5, −2)
1(4.9992, 4)/ (5.0000, 4.0000)/
2(4.9992, 4)/ F/F
3(4.9992, 4)/ (5.0000, 4.0000)/
4(4.9992, 4)/ (11.4128, −0.8968)/48.9843
5(4.9992, 4)/ (5.0000, 4.0000)/
6(4.9992, 4)/ (5.0000, 4.0000)/

Scheme 7(4.9992, 4)/ F/F
8(4.9992, 4)/ (11.4128, −0.8968)/48.9843
9(4.9992, 4)/ (11.4128, −0.8968)/48.9843
10(4.9992, 4)/ (11.4128, −0.8968)/48.9843
11(4.9992, 4)/ (11.4128, −0.8968)/48.9843
12(4.9992, 4)/ F/F