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2009•Journal of Zhengzhou University of Light IndustryRequires access

A class of third-order convergence variants of Newton's method

Lingling Zhao

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Abstract

A class of third-order convergence methods,which are variant's of Newton's method,is given.Their convergence properties are proved.They are at least third-order convergence near simple root.Further more,the numerical tests are given and compared with Newton's method and Newton-like methods.The results show that the proposed methods have some advantages.

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What this paper is about

A class of third-order convergence methods,which are variant's of Newton's method,is given.Their convergence properties are proved.They are at least third-order convergence near simple root.Further more,the numerical tests are given and compared with Newton's method and Newton-like methods.The results show that the proposed methods have some advantages.

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Available abstract

A class of third-order convergence methods,which are variant's of Newton's method,is given.Their convergence properties are proved.They are at least third-order convergence near simple root.Further more,the numerical tests are given and compared with Newton's method and Newton-like methods.The results show that the proposed methods have some advantages.

Key concepts: Convergence (economics), Newton's method, Local convergence, Simple (philosophy), Third order, Mathematics, Class (philosophy), Applied mathematics

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