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Chaotic Convergence of Newton’s method

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posted on 2023-07-10, 05:40 authored by jont Allenjont Allen

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.

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.




Email Address of Submitting Author

Submitting Author's Institution

University of Illinois, urbana Champaign IL

Submitting Author's Country

  • United States of America