On Constructing Two-Point Optimal Fourth-Order Multiple-Root Finders with a Generic Error Corrector and Illustrating Their Dynamics
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-16
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
With an error corrector via principal branch of the mth root of a function-to-function ratio, we propose optimal quartic-order multiple-root finders for nonlinear equations.
The relevant optimal order satisfies Kung-Traub conjecture made in 1974.
Numerical experiments performed for various test equations demonstrate convergence behavior agreeing with theory and the basins of attractions for several examples are presented.
American Psychological Association (APA)
Kim, Young Ik& Geum, Young Hee. 2015. On Constructing Two-Point Optimal Fourth-Order Multiple-Root Finders with a Generic Error Corrector and Illustrating Their Dynamics. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060487
Modern Language Association (MLA)
Kim, Young Ik& Geum, Young Hee. On Constructing Two-Point Optimal Fourth-Order Multiple-Root Finders with a Generic Error Corrector and Illustrating Their Dynamics. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1060487
American Medical Association (AMA)
Kim, Young Ik& Geum, Young Hee. On Constructing Two-Point Optimal Fourth-Order Multiple-Root Finders with a Generic Error Corrector and Illustrating Their Dynamics. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1060487
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060487
