A significant improvement on newton's iterative method

被引：0

作者：

Xinyuan W. ^{[1
]}

机构：

[1] Department of Mathematics, Nanjing University

来源：

Applied Mathematics and Mechanics | 1999年 / 20卷 / 8期

关键词：

Dynamic system; Iterative method; Newton's method; Nonlinear equation; Numerical analysis; Transcendental equation;

D O I：

10.1007/BF02452492

中图分类号：

学科分类号：

摘要：

For solving nonlinear and transcendental equation f(x) = 0, a significant improvement on Newton's method is proposed in this paper. New "Newton Like" methods are founded on the basis of Liapunov's methods of dynamic system. These new methods preserve quadratic convergence and computational efficiency of Newton's method, and remove the monotoneity condition imposed on f(x):f′(x) ≠ 0.

引用

页码：924 / 927

页数：3