The Inner Aggregation Newton’s Method for Solving Nonlinear Equations
Authors: Nebojsa M. Ralevic, Dejan Cebic, Bratislav Iricanin
Keywords: Newton’s method, aggregation function, order of convergence
Abstract:
This paper deals with the new variants of Newton’s method based on aggregation functions for finding simple real roots of nonlinear equations. Unlike some well-known two step modifications of Newton’s method based on various means, the presented methods use the same means in a different manner to achieve the third convergence order. A new general iterative scheme is analyzed in details and the theoretical results are verified on several test examples from real-life and literature.
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