Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON DYNAMICS OF A SIXTH-ORDER MULTIPLE-ROOT FINDER FOR NONLINEAR EQUATIONS

  • Received : 2023.11.13
  • Accepted : 2024.01.12
  • Published : 2024.01.30
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Abstract

A family of sixth-order multiple-root solver have been developed and the special case of weight function is investigated. The dynamical analysis of selected iterative schemes with uniparametric polynomial weight function are studied using Möbius conjugacy map applied to the form ((z - A)(z - B))m and the stability surfaces of the strange fixed points for the conjugacy map are displayed. The numerical results are shown through various parameter spaces.

Keywords

Acknowledgement

The author is supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education under the research grant(Project Number:NRF-2021R1A2C1012922.

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