Computers and Mathematics with Applications
Computers and Mathematics with Applications
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DOI：
10.1016/j.camwa.2008.05.005
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发表时间：
2008-11
期刊：
影响因子：
--
通讯作者：
C. Chun;B. Neta
中科院分区：
文献类型：
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作者：
C. Chun;B. Neta
本文在待定系数法的基础上，对求解非线性方程的牛顿法进行了改进。通过实例说明待定系数法是发展新方法的一种很有前途的工具，并通过一些已有方法的特例说明了待定系数法具有广泛的适用性。提出了两种新的六阶方法。数值算例表明，该方法可以与其他迭代方法相竞争。
In this paper, we construct some modifications of Newton’s method for solving nonlinear equations, which is based on the method of undetermined coefficients. It is shown by way of illustration that the method of undetermined coefficients is a promising tool for developing new methods, and reveals its wide applicability by obtaining some existing methods as special cases. Two new sixth-order methods are developed. Numerical examples are given to support that the methods thus obtained can compete with other iterative methods.