On a Family of High-Order Iterative Methods under Kantorovich Conditions and Some Applications

被引：7

作者：

Amat, S. ^{[1
]}

Bermudez, C. ^{[1
]}

Busquier, S. ^{[1
]}

Legaz, M. J. ^{[1
]}

Plaza, S. ^{[2
]}

机构：

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estat, Cartagena 30203, Spain

[2] Univ Santiago Chile, Fac Ciencia, Dept Matemat, Santiago, Chile

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

NONLINEAR EQUATIONS; CHEBYSHEV METHOD; MULTIPLE ROOTS; NEWTONS METHOD; CONVERGENCE; VARIANT;

D O I：

10.1155/2012/782170

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of a class of high-order iterative methods for nonlinear equations on Banach spaces. An analysis of the convergence under Kantorovich-type conditions is proposed. Some numerical experiments, where the analyzed methods present better behavior than some classical schemes, are presented. These applications include the approximation of some quadratic and integral equations.

引用

页数：14

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