Interval Methods For Fixed And Periodic Points: Development And Visualization

José Eduardo de Almeida Ayres,Luiz Henrique de Figueiredo

JOURNAL OF UNIVERSAL COMPUTER SCIENCE（2020）

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摘要

We describe the development of rigorous numerical methods based on interval analysis for finding all fixed points of a map and all attracting periodic points of a complex polynomial. We also discuss their performance with instructive visualizations.

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关键词

fixed points, interval analysis, computer-assisted proofs

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