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Physics Letters A
Paper

Overrelaxation and chaos

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Abstract

I present computational and graphical results on overrelaxed Halley's method for one-parameter rational functions of the form ξα - 1 =o in order to gain insight into the behavior of the method. The resulting plots reveal a visually striking and intricate class of patterns indicating behavior ranging from stable attractive points to chaos. © 1988.

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Publication

Physics Letters A

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