Article ID Journal Published Year Pages File Type
6422938 Journal of Computational and Applied Mathematics 2014 12 Pages PDF
Abstract

A local convergence analysis for a generalized family of two step Secant-like methods with frozen operator for solving nonlinear equations is presented. Unifying earlier methods such as Secant's, Newton, Chebyshev-like, Steffensen and other new variants the family of iterative schemes is built up, where a profound and clear study of the computational efficiency is also carried out. Numerical examples and an application using multiple precision and a stopping criterion are implemented without using any known root. Finally, a study comparing the order, efficiency and elapsed time of the methods suggested supports the theoretical results claimed.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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