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.
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页数：8
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