2008Journal of Gansu Lianhe UniversityRequires access

New Iterative Methods for Solving Nonlinear Equations

Cheng Ma

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Abstract

Using Newton iterative formula of nonlinear equations,new classes iterative methods for solving nonlinear equations are constructed in this paper.This new method includes Newton iterative methods and other iterative methods as special cases.We give several examples and their comparison with other iterative methods to illustrate the efficiency of these methods.

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What this paper is about

Using Newton iterative formula of nonlinear equations,new classes iterative methods for solving nonlinear equations are constructed in this paper.This new method includes Newton iterative methods and other iterative methods as special cases.We give several examples and their comparison with other iterative methods to illustrate the efficiency of these methods.

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Available abstract

Using Newton iterative formula of nonlinear equations,new classes iterative methods for solving nonlinear equations are constructed in this paper.This new method includes Newton iterative methods and other iterative methods as special cases.We give several examples and their comparison with other iterative methods to illustrate the efficiency of these methods.

Key concepts: Iterative method, Local convergence, Nonlinear system, Newton's method in optimization, Newton's method, Applied mathematics, Mathematics, Computer science

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