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

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 num...

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Bibliographic Details
Main Authors: Wen Zhou, Jisheng Kou
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/601745