一类基于Halley-Newton型的有效修正算法

谢亚君

A Class of Efficient Modified Algorithms Based onHalley-Newton Methods

Yajun Xie

表 1 例4.1的数值测试结果

方法 MHN1 MHN2 NM Halley 参数 α= 2, β = 2, γ = 2 β = 2, γ = 2 初值 It 6 6 7 10 (2, -0.5)T CPU 0.013431 0.011241 0.013870 0.013895 Val 2.516e-010 2.516e-010 1.0195e-009 1.7879e-007 It 34 20 32 26 (500, 50)T CPU 0.017173 0.012883 0.015482 0.014889 Val 3.4362e-011 5.0377e-011 3.3054e-010 5.1109e-007 It 26 26 - 24 (100, 100)T CPU 0.01655 0.014466 - 0.013880 Val 1.9425e-010 1.9425e-010 - 5.3603e-007