Chaotic Convergence of Newton’s method

descriptionPublicationkeyboard_double_arrow_right Article 10 Jul 2023Publisher:Institute of Electrical and Electronics Engineers (IEEE)Journal:IEEE Transactions on Signal Processing, volume 72, pages 1,683-1,690 (issn: 1053-587X, eissn: 1941-0476,

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Authors: Jont B. Allen;

doi: 10.36227/techrxiv.23596221 , 10.36227/techrxiv.23596221.v1 , 10.1109/tsp.2024.3376088

Chaotic Convergence of Newton’s method

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Abstract

<p>Newton's method is considered to be unstable, or worse, chaotic. In this manuscript we show the source of this instability, and present a method to fix the probelm.</p> <p>We also investigate the eigen roots of a modified black-body radiation formula, that seems to explain a connection to quantum mechanics. This last topic is of special significance.</p>

Related Organizations

University of Illinois System
United States

Keywords

Numerical computation of roots of polynomial equations

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