A GEOMETRY-BASED ITERATIVE ALGORITHM FOR FINDING THE APPROXIMATE SOLUTIONS OF SYSTEMS OF NONLINEAR EQUATIONS

ANTONI, GREGORY (2018) A GEOMETRY-BASED ITERATIVE ALGORITHM FOR FINDING THE APPROXIMATE SOLUTIONS OF SYSTEMS OF NONLINEAR EQUATIONS. Asian Journal of Mathematics and Computer Research, 25 (7). 413- 431.

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Abstract

This paper is devoted to a new iterative method for finding the approximate solutions of systems of nonlinear equations. Based on some geometric considerations, a root-finding algorithm applied to a single equation is developed and coupled with Jacobi and Gauss-Seidel procedures with the aim of solving nonlinear systems. The numerical predictive abilities of this iterative method are addressed and discussed on some examples.

Item Type: Article
Subjects: Academic Digital Library > Mathematical Science
Depositing User: Unnamed user with email info@academicdigitallibrary.org
Date Deposited: 09 Dec 2023 05:01
Last Modified: 09 Dec 2023 05:01
URI: http://publications.article4sub.com/id/eprint/3000

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