2011Journal of Yichun CollegeRequires access

A Modified Newton'S Iterative Method

Chen Hong-bin

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Abstract

A modified Newton's iterative method is given,second order convergence of the modified Newton's iterative method is proven.Numerical experiments show that the modified Newton's iterative method has some more advantages than the known Newton's iterative method and secant method.

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What this paper is about

A modified Newton's iterative method is given,second order convergence of the modified Newton's iterative method is proven.Numerical experiments show that the modified Newton's iterative method has some more advantages than the known Newton's iterative method and secant method.

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Available abstract

A modified Newton's iterative method is given,second order convergence of the modified Newton's iterative method is proven.Numerical experiments show that the modified Newton's iterative method has some more advantages than the known Newton's iterative method and secant method.

Key concepts: Local convergence, Newton's method, Newton's method in optimization, Iterative method, Steffensen's method, Secant method, Convergence (economics), Mathematics

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