Are there any Julia sets for the Laguerre iteration function?-Reference-Cited by-同舟云学术

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Are there any Julia sets for the Laguerre iteration function?

Published:2003-10 Issue:8-9 Volume:46 Page:1201-1210
ISSN:0898-1221
Container-title:Computers & Mathematics with Applications
language:en
Short-container-title:Computers & Mathematics with Applications

Author:

Drakopoulos V.

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference20 articles.

1. The complex dynamics of Newton's method for a double root;Gilbert;Computers Math. Applic.,1991

2. Newton's method for multiple roots;Gilbert;Comput. & Graphics,1994

3. Laguerre's method applied to the matrix eigenvalue problem;Parlett;Math. Comp.,1964

4. Mémoire sur l'iterátion des functions rationelles;Julia;J. Math. Pures Appl.,1918

5. Sur lea équations fonctionelles;Fatou;Bull. Soc. Math. France,1919

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Repellers for the Laguerre Iteration Function;Nonlinear Systems and Complexity;2022

2. On optimal parameter of Laguerre's family of zero-finding methods;International Journal of Computer Mathematics;2018-02-04

3. On the Dynamics of Laguerre’s Iteration Method for Finding the nth Roots of Unity;International Journal of Computational Mathematics;2014-11-26

4. Methods Involving Second or Higher Derivatives;Studies in Computational Mathematics;2013

5. Characterization of the determinant of a Laguerre matrix;Journal of Applied Mathematics and Computing;2010-04-25

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