Open AccessInterval Methods for Fixed and Periodic Points: Development and Visualization
Author(s) -
José Eduardo de Almeida Ayres,
Luiz Henrique de Figueiredo
Publication year - 2020
Publication title -
jucs - journal of universal computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.284
H-Index - 53
eISSN - 0948-695X
pISSN - 0948-6968
DOI - 10.3897/jucs.2020.068
Subject(s) - interval (graph theory) , fixed point , visualization , computer science , interval arithmetic , polynomial , development (topology) , mathematics , algorithm , mathematical analysis , combinatorics , data mining , bounded function
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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