Open Access
October 2013 Explicit estimates on distance estimator method for Julia sets of polynomials
Masayo Fujimura, Yasuhiro Gotoh, Satoshi Yoshida
Kodai Math. J. 36(3): 491-507 (October 2013). DOI: 10.2996/kmj/1383660695

Abstract

The distance estimator method is well-known as an iterative method which estimates the Euclidean distance between a given point and Julia set. Although it brings a remarkable effect in drawing Julia set, it seems to be not known about how accurate this method is. In the present paper, we give explicit estimates on this method.

Citation

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Masayo Fujimura. Yasuhiro Gotoh. Satoshi Yoshida. "Explicit estimates on distance estimator method for Julia sets of polynomials." Kodai Math. J. 36 (3) 491 - 507, October 2013. https://doi.org/10.2996/kmj/1383660695

Information

Published: October 2013
First available in Project Euclid: 5 November 2013

zbMATH: 1291.37060
MathSciNet: MR3161553
Digital Object Identifier: 10.2996/kmj/1383660695

Rights: Copyright © 2013 Tokyo Institute of Technology, Department of Mathematics

Vol.36 • No. 3 • October 2013
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