A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We develop a family of fourth-order iterative methods using the weighted harmonic mean of two derivative functions to compute approximate multiple roots of nonlinear equations.
They are proved to be optimally convergent in the sense of Kung-Traub’s optimal order.
Numerical experiments for various test equations confirm well the validity of convergence and asymptotic error constants for the developed methods.
American Psychological Association (APA)
Kim, Young Ik& Geum, Young Hee. 2013. A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-466514
Modern Language Association (MLA)
Kim, Young Ik& Geum, Young Hee. A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-466514
American Medical Association (AMA)
Kim, Young Ik& Geum, Young Hee. A Two-Parameter Family of Fourth-Order Iterative Methods with Optimal Convergence for Multiple Zeros. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-466514
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466514