THE EXTERNAL AGGREGATION NEWTON’S METHOD FOR SOLVING NONLINEAR EQUATIONS AND APPLICATIONS

Authors

Marija Paunović

Faculty of Hotel Management and Tourism in Vrnjacka Banja, University of Kragujevac, Vrnjacka Banja, Serbia

Dejan Ćebić

Faculty of Mining and Geology, University of Belgrade, Belgrade, Serbia

Nebojša Ralević

Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

DOI 10.5937/univtho10-24982 Original page Cite this article

Keywords

Newton’s method, Aggregation function, Order of convergence

Abstract

Different modified Newton’s methods are widely used in modern computational engineering science, applied mechanics, economics, optimization problems and other disciplines. On the other hand aggregation of information takes a significant place in many knowledge-based systems, where aggregation of data or values is needed. In this paper we theoretically analysed a new modification of Newton’s method based on aggregation function applied on finding multiple roots of nonlinear equations, and numerically verified theoretical results on the examples with simple and multiple roots. Numerical analysis of the proposed approach with obtained results and the related discussion are presented on examples in practice.

Published

2020/03/10

Issue

Vol. 10 No. 1 (2020)

Pages

44-50.

Section

Original Scientific Paper

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