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Chaotic Convergence of Newton's method
  • jont Allen
jont Allen
University of Illinois

Corresponding Author:[email protected]

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Abstract

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.