Third-Order Newton-Type Methods Combined with Vector Extrapolation for Solving Nonlinear Systems

被引：0

作者：

Zhou, Wen ^{[1
]}

Kou, Jisheng ^{[2
]}

机构：

[1] Hubei Vocat Tech Coll, Dept Fdn Courses, Xiaogan 432000, Hubei, Peoples R China

[2] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

RATIONAL CUBIC METHODS; RECURRENCE RELATIONS; SEMILOCAL CONVERGENCE; ACCELERATION;

D O I：

10.1155/2014/601745

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a third-order method for solving the systems of nonlinear equations. This method is a Newton-type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method. Numerical results show that the composite method is more robust and efficient than a number of Newton-type methods with the other vector extrapolations.

引用

页数：8

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