A new iteration method for solving algebraic equations

被引：64
|
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
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.
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页码：81 / 84
页数：4
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