Determining radius of convergence of Newton's method using radius of curvature

Determining radius of convergence of Newton's method using radius of curvature

In this paper, we propose a method on how to manage the convergence of Newton’s method if its iteration process encounters a local extremum. This idea establishes the osculating circle at a local extremum. It then uses the radius of the osculating circle also known as the radius of the curvature as...

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Bibliographic Details
Main Authors: Pandiya, Ridwan, Mohd, Ismail
Format: Article
Language:English
Published: Penerbit UTM Press 2017
Online Access:http://psasir.upm.edu.my/id/eprint/13432/
http://psasir.upm.edu.my/id/eprint/13432/1/Determining%20radius%20of%20convergence%20of%20Newton%27s%20method%20using%20radius%20of%20curvature.pdf

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