Optimal Derivative-Free Methods for Solving Nonlinear Equations

被引：0

作者：

Cordero, Alicia ^{[1
]}

Hueso, Jose L. ^{[1
]}

Martinez, Eulalia ^{[2
]}

Torregrosa, Juan R. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Valencia, Spain

[2] Univ Politecn Valencia, Inst Matemat Pura Apl, Valencia, Spain

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C | 2011年 / 1389卷

关键词：

Nonlinear equations; Iterative methods; Convergence order; Efficiency index; Steffensen's method; Derivative-free method;

D O I：

10.1063/1.3637791

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, some families of derivative-free methods, with optimal and non-optimal order of convergence, for solving nonlinear equations are suggested. In the proposed methods, polynomials of different degrees are used in order to get a good estimation of the derivative of the given function at the different steps of the iteration.

引用

页数：4

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