A new iteration method for solving algebraic equations

被引：67

作者：

He, JH ^{[1
]}

机构：

[1] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 135卷 / 01期

基金：

美国国家科学基金会;

关键词：

nonlinearity; iteration method;

D O I：

10.1016/S0096-3003(01)00313-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear algebraic equation f (x) = 0, by applying Taylor's theorem, is converted into a coupled iteration system L(x(n+1)) + g(x(n)) = 0 and g(x(n)) = f (x(n)) - L(x(n)), where L(x) = Ax(2) + Bx + C. The formula is of high convergence. Some examples are given. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：81 / 84

页数：4

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