A Family of Three-Point Methods of Ostrowski's Type for Solving Nonlinear Equations
Joint Authors
Džunić, Jovana
Petković, Miodrag S.
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A class of three-point methods for solving nonlinear equations of eighth order is constructed.
These methods are developed by combining two-point Ostrowski's fourth-order methods and a modified Newton's method in the third step, obtained by a suitable approximation of the first derivative using the product of three weight functions.
The proposed three-step methods have order eight costing only four function evaluations, which supports the Kung-Traub conjecture on the optimal order of convergence.
Two numerical examples for various weight functions are given to demonstrate very fast convergence and high computational efficiency of the proposed multipoint methods.
American Psychological Association (APA)
Džunić, Jovana& Petković, Miodrag S.. 2012. A Family of Three-Point Methods of Ostrowski's Type for Solving Nonlinear Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-993251
Modern Language Association (MLA)
Džunić, Jovana& Petković, Miodrag S.. A Family of Three-Point Methods of Ostrowski's Type for Solving Nonlinear Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-993251
American Medical Association (AMA)
Džunić, Jovana& Petković, Miodrag S.. A Family of Three-Point Methods of Ostrowski's Type for Solving Nonlinear Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-993251
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993251