Basins of Attraction for Various Steffensen-Type Methods
Joint Authors
Soleymani, Fazlollah
Cordero, Alicia
Shateyi, Stanford
Torregrosa, Juan R.
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
The dynamical behavior of different Steffensen-type methods is analyzed.
We check the chaotic behaviors alongside the convergence radii (understood as the wideness of the basin of attraction) needed by Steffensen-type methods, that is, derivative-free iteration functions, to converge to a root and compare the results using different numerical tests.
We will conclude that the convergence radii (and the stability) of Steffensen-type methods are improved by increasing the convergence order.
The computer programming package MATHEMATICA provides a powerful but easy environment for all aspects of numerics.
This paper puts on show one of the application of this computer algebra system in finding fixed points of iteration functions.
American Psychological Association (APA)
Cordero, Alicia& Soleymani, Fazlollah& Torregrosa, Juan R.& Shateyi, Stanford. 2014. Basins of Attraction for Various Steffensen-Type Methods. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-479837
Modern Language Association (MLA)
Cordero, Alicia…[et al.]. Basins of Attraction for Various Steffensen-Type Methods. Journal of Applied Mathematics No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-479837
American Medical Association (AMA)
Cordero, Alicia& Soleymani, Fazlollah& Torregrosa, Juan R.& Shateyi, Stanford. Basins of Attraction for Various Steffensen-Type Methods. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-479837
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479837
