An Iterative Solver in the Presence and Absence of Multiplicity for Nonlinear Equations
Joint Authors
Özkum, Gülcan
Soleymani, Fazlollah
Shateyi, Stanford
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-22
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We develop a high-order fixed point type method to approximate a multiple root.
By using three functional evaluations per full cycle, a new class of fourth-order methods for this purpose is suggested and established.
The methods from the class require the knowledge of the multiplicity.
We also present a method in the absence of multiplicity for nonlinear equations.
In order to attest the efficiency of the obtained methods, we employ numerical comparisons alongside obtaining basins of attraction to compare them in the complex plane according to their convergence speed and chaotic behavior.
American Psychological Association (APA)
Soleymani, Fazlollah& Shateyi, Stanford& Özkum, Gülcan. 2013. An Iterative Solver in the Presence and Absence of Multiplicity for Nonlinear Equations. The Scientific World Journal،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1012986
Modern Language Association (MLA)
Soleymani, Fazlollah…[et al.]. An Iterative Solver in the Presence and Absence of Multiplicity for Nonlinear Equations. The Scientific World Journal No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1012986
American Medical Association (AMA)
Soleymani, Fazlollah& Shateyi, Stanford& Özkum, Gülcan. An Iterative Solver in the Presence and Absence of Multiplicity for Nonlinear Equations. The Scientific World Journal. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1012986
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1012986