2009Journal of Henan Normal UniversityRequires access

Some Modifications of Newton's Method with Fifth-order Convergence

Qifang Su

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Abstract

In this paper,a new convergence theorem and error estimate for some new modifications of Newton's method are obtained by means of Newton's theorem,under the foundations of Newton's method for solving non-linear equation.

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What this paper is about

In this paper,a new convergence theorem and error estimate for some new modifications of Newton's method are obtained by means of Newton's theorem,under the foundations of Newton's method for solving non-linear equation.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper,a new convergence theorem and error estimate for some new modifications of Newton's method are obtained by means of Newton's theorem,under the foundations of Newton's method for solving non-linear equation.

Key concepts: Newton's method, Steffensen's method, Convergence (economics), Applied mathematics, Mathematics, Order (exchange), Newton's method in optimization, Local convergence

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