An acceleration of iterative processes for solving nonlinear equations

被引：10

作者：

Nedzhibov, GH ^{[1
]}

机构：

[1] Fac Math & Informat, Lab Math Modelling, Shumen 9712, Bulgaria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 168卷 / 01期

关键词：

iterative method; simultaneous root finding; order of convergence; multi-point iterative process;

D O I：

10.1016/j.amc.2004.08.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the paper is to present a method for acceleration of iterative processes for solving a nonlinear equation. This approach is generalized for the case of multiple roots when the multiplicity rate is preliminarily known. Thus some new methods are obtained. The convergence analysis of the presented method and numerical examples are given. (c) 2004 Published by Elsevier Inc.

引用

页码：320 / 332

页数：13

共 8 条

[1]

CHAKALOV L, 1975, INTRO THEORY ANALYTI, P178

[2] ALGORITHM FOR TOTAL, OR PARTIAL, FACTORIZATION OF A POLYNOMIAL [J].

FARMER, MR ;

LOIZOU, G .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1977, 82 (NOV) :427-437

[3]

Kyurkchiev N.V., 1998, Mathematical Research, V104

[4]

Nedzhibov G.H., 2003, P 32 SPRING C 2003 U

[5]

NEDZHIBOV GH, 2003, 28 SUMM SCH APPL MAT

[6]

PETKOV M, 2000, NUMERICAL METHODS SO

[7]

Sendov, 1976, NUMERICAL METHODS 1

[8]

Traub J. F., 1982, ITERATIVE METHODS SO

← 1 →