A Family of Derivative-Free Methods with High Order of Convergence and Its Application to Nonsmooth Equations
Joint Authors
Cordero, Alicia
Torregrosa, Juan R.
Hueso, José L.
Martínez, Eulalia
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-15
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
A family of derivative-free methods of seventh-order convergence for solving nonlinear equations is suggested.
In the proposed methods, several linear combinations of divided differences are used in order to get a good estimation of the derivative of the given function at the different steps of the iteration.
The efficiency indices of the members of this family are equal to 1.6266.
Also, numerical examples are used to show the performance of the presented methods, on smooth and nonsmooth equations, and to compare with other derivative-free methods, including some optimal fourth-order ones, in the sense of Kung-Traub’s conjecture.
American Psychological Association (APA)
Cordero, Alicia& Hueso, José L.& Martínez, Eulalia& Torregrosa, Juan R.. 2012. A Family of Derivative-Free Methods with High Order of Convergence and Its Application to Nonsmooth Equations. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-502050
Modern Language Association (MLA)
Cordero, Alicia…[et al.]. A Family of Derivative-Free Methods with High Order of Convergence and Its Application to Nonsmooth Equations. Abstract and Applied Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-502050
American Medical Association (AMA)
Cordero, Alicia& Hueso, José L.& Martínez, Eulalia& Torregrosa, Juan R.. A Family of Derivative-Free Methods with High Order of Convergence and Its Application to Nonsmooth Equations. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-502050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502050