Lag Based Hermite Interpolation Method for Solving a Root of Nonlinear Equations
نویسنده
چکیده
In this paper we propose a learning based iterative numerical method for computing a rootξ 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. KeywordsBisection; Secant; Regula falsi; Newton; Steffensen’s; nonlinear equations; root finding; order of convergence; Hermite interpolation; iteration method
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