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Dynamical Analysis via Möbius Conjugacy Map on a Uniparametric Family of Optimal Fourth-Order Multiple-Zero Solvers with Rational Weight Functions
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-29
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A triparametric family of fourth-order multiple-zero solvers have been proposed.
In this paper, we select among them a uniparametric family of optimal fourth-order multiple-zero solvers with rational weight functions and pursue their dynamics by exploring the relevant parameter spaces and dynamical planes, by means of Möbius conjugacy map applied to a prototype polynomial of the form (z-A)m(z-B)m.
The resulting dynamics is best illustrated through various stability surfaces and parameter spaces as well as dynamical planes.
American Psychological Association (APA)
Kim, Young Ik& Geum, Young Hee. 2018. Dynamical Analysis via Möbius Conjugacy Map on a Uniparametric Family of Optimal Fourth-Order Multiple-Zero Solvers with Rational Weight Functions. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1152790
Modern Language Association (MLA)
Kim, Young Ik& Geum, Young Hee. Dynamical Analysis via Möbius Conjugacy Map on a Uniparametric Family of Optimal Fourth-Order Multiple-Zero Solvers with Rational Weight Functions. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-19.
https://search.emarefa.net/detail/BIM-1152790
American Medical Association (AMA)
Kim, Young Ik& Geum, Young Hee. Dynamical Analysis via Möbius Conjugacy Map on a Uniparametric Family of Optimal Fourth-Order Multiple-Zero Solvers with Rational Weight Functions. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-19.
https://search.emarefa.net/detail/BIM-1152790
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152790