Research Article

A Cauchy Point Direction Trust Region Algorithm for Nonlinear Equations

Table 2

 Numerical results.

No.nCTRATRTTR
NI/NFNI/NFNI/NF

15006/73.18E − 063.32E − 077/86.73E − 066/73.18E − 06
10005/68.95E − 063.32E − 077/84.74E − 065/68.95E − 06
20005/66.32E − 063.32E − 077/83.34E − 065/66.32E − 06
25002/33.50E − 061.57E − 062/33.38E − 062/33.38E − 06
10002/36.67E − 063.32E − 072/36.69E − 062/36.69E − 06
20003/49.13E − 063.32E − 073/88.39E − 063/58.44E − 06
350012/162.16E − 073.31E − 0112/203.89E − 0616/219.44E − 10
100011/155.92E − 072.96E − 0112/205.51E − 0616/211.39E − 09
200011/151.78E − 073.50E − 0112/207.82E − 0616/211.84E − 09
41009/117.33E − 065.28E − 012001/22932001/2270
550022/254.39E − 062.96E − 0118/195.84E − 0619/208.32E − 06
100025/276.37E − 064.35E − 0123/585.68E − 0623/244.33E − 06
200024/285.24E − 064.50E − 0119/205.53E − 0621/235.23E − 06
65005/62.12E − 069.81E − 045/64.91E − 087/82.74E − 08
10005/61.44E − 065.05E − 015/61.91E − 077/81.58E − 07
20006/77.69E − 076.08E − 015/67.56E − 087/85.08E − 08
75006/72.57E − 091.59E − 016/71.51E − 096/74.28E − 11
10006/72.63E − 061.63E − 016/71.03E − 086/73.83E − 06
20006/75.50E − 062.26E − 016/72.60E − 086/75.43E − 06
810014/164.31E − 082.92E − 012001/22812001/2268
9100014/185.42E − 061.46E − 0214/202.76E − 0716/221.36E − 09
105006/75.54E − 084.14E − 016/71.33E − 076/71.09E − 07
10006/76.04E − 083.71E − 016/72.49E − 076/79.91E − 07
20006/71.16E − 074.47E − 016/74.33E − 077/82.32E − 07
111008/93.22E − 072.21E − 018/93.38E − 088/91.15E − 06
125005/63.62E − 128.36E − 0116/175.81E − 0618/195.96E − 06
10005/64.15E − 118.82E − 0116/177.38E − 0618/199.31E − 06
20006/83.42E − 078.29E − 0116/178.23E − 0619/202.82E − 06
135009/102.41E − 077.19E − 014/57.67E − 069/101.04E − 08
10009/103.93E − 077.62E − 014/58.32E − 069/103.37E − 08
200010/117.01E − 067.30E − 015/61.00E − 1010/111.35E − 07
145004/56.96E − 061.09E − 027/105.22E − 065/65.34E − 06
100012/131.79E − 071.77E − 018/102.39E − 066/82.65E − 06
200010/115.39E − 061.15E − 0111/161.70E − 0610/115.32E − 07
155003/42.85E − 093.61E − 013/42.48E − 064/52.49E − 06
10004/51.32E − 075.56E − 013/46.34E − 076/78.80E − 08
20004/51.40E − 085.04E − 014/53.74E − 076/73.63E − 07
165001/21.10E − 063.32E − 071/21.10E − 061/21.10E − 06
10001/21.55E − 063.32E − 071/21.55E − 061/21.55E − 06
20001/22.20E − 063.32E − 071/22.20E − 061/22.20E − 06
17100034/449.22E − 093.58E − 0190/2196.85E − 0963/754.89E − 10