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2013•International Journal of Mathematical ArchiveRequires access

THE CUBIC RATE OF CONVERGENCE OF GENERALIZED EXTRAPOLATED NEWTON - RAPHSON METHOD FOR SOLVING NONLINEAR EQUATIONS

Mrinal Kumar, Mylapalli, V. B. Kumar

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Abstract

I n this paper, we present the rate of convergence of Generalized Extrapolated Newton – Raphson (GEN-R) Method to find the multiple roots of non-linear equations. Numerical examples are given to illustrate the performance of the presented methods.

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What this paper is about

I n this paper, we present the rate of convergence of Generalized Extrapolated Newton – Raphson (GEN-R) Method to find the multiple roots of non-linear equations. Numerical examples are given to illustrate the performance of the presented methods.

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Available abstract

I n this paper, we present the rate of convergence of Generalized Extrapolated Newton – Raphson (GEN-R) Method to find the multiple roots of non-linear equations. Numerical examples are given to illustrate the performance of the presented methods.

Key concepts: Mathematics, Rate of convergence, Newton's method, Convergence (economics), Nonlinear system, Applied mathematics, Local convergence, Mathematical analysis

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