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Lag Based Hermite Interpolation Method for Solving a Root of Nonlinear Equations

Author(s): Vijaya Lakshmi V, Nadimpalli and Raghavendra Rao,Chillarige

Journal: International Journal of Innovative Technology and Creative Engineering
ISSN 2045-869X

Volume: 1;
Issue: 3;
Start page: 40;
Date: 2011;
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Keywords: Bisection | Secant | Regula falsi | Newton | Steffensen’s | nonlinear equations | root finding | order of convergence | Hermite interpolation | iteration method

In this paper we propose a learning based iterative numerical method for computing a root of a non-linear equation of the form f(x) = 0 in the interval [a,b]. Lag based method through Hermite interpolation modeled root discovery approach is developed and demonstrated in this paper. The new method has been tested for a series of functions considered by several researchers. The numerical experiments show that the new method is effective and converges faster to a root with lesser number of iterations and lesser number of function evaluations.
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