An improved regula falsi method with quadratic convergence of both diameter and point for enclosing simple zeros of nonlinear equations

被引：15
|
作者：
Wu, XY [1 ]
Shen, ZH
Xia, JL
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Nanjing Univ, State Key Lab Novel Software Technol, Nanjing 210093, Peoples R China
[3] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 144卷 / 2-3期
关键词：
regula falsi; nonlinear equations; root finding; high order of convergence; iteration method;
D O I：
10.1016/S0096-3003(02)00414-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new method of regula falsi type with global convergence for finding a simple root x* of a nonlinear equation f (x) = 0 in the interval [a, b] is presented in this paper. The new method is shown to be quadratically convergent. Both the sequences of diameters {(b(n) - a(n))} and the iterative sequence {(x(n) - x*)} are quadratically convergent to zero. The new method has been tested on a series of published examples. The numerical results show that the new method is very effective. (C) 2002 Published by Elsevier Inc.
引用
收藏
页码：381 / 388
页数：8
相关论文
共 36 条
1234