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

Wen Zhou and Jisheng Kou

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/601745

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:601745

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