A new accurate and efficient iterative numerical method for solving the scalar and vector nonlinear equations: approach based on geometric considerations
type: Item
instance of: scholarly article
title: A new accurate and efficient iterative numerical method for solving the scalar and vector nonlinear equations: approach based on geometric considerations
zbMATH Open document ID: 1413.65178
DOI: 10.1155/2016/6390367
author: Grégory Antoni
published in: International Journal of Engineering Mathematics
publication date: 2018-08-06T00:00:00Z
review text: Summary: This paper deals with a new numerical iterative method for finding the approximate solutions associated with both scalar and vector nonlinear equations. The iterative method proposed here is an extended version of the numerical procedure originally developed in previous works. The present study proposes to show that this new root-finding algorithm combined with a stationary-type iterative method (e.g., Gauss-Seidel or Jacobi) is able to provide a longer accurate solution than classical Newton-Raphson method. A numerical analysis of the developed iterative method is addressed and discussed on some specific equations and systems.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 6913844
Wikidata QID: Q59124543
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/6390367
OpenAlex ID: W2502239123
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description: scientific article; zbMATH DE number 6913844