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A modification of Newton's method with third-order convergence
Author
Source
Journal of Basrah Researches : Sciences
Issue
Vol. 37, Issue 4D (30 Sep. 2011)5 p.
Publisher
University of Basrah College of Education for Pure Sciences
Publication Date
2011-09-30
Country of Publication
Iraq
No. of Pages
5
Main Subjects
Abstract EN
In this paper, We present an improvement to the Newton’s method that it has third-order convergence for solving non-linear equations.
From error analysis the higher order of convergence is proving.
Per iteration, the modified is requires two evaluations of function and one evaluation of its first derivative.
Numerical examples are illustrating the performance of the modified method.
American Psychological Association (APA)
al-Danfur, Husniyah Muhammad. 2011. A modification of Newton's method with third-order convergence. Journal of Basrah Researches : Sciences،Vol. 37, no. 4D.
https://search.emarefa.net/detail/BIM-285898
Modern Language Association (MLA)
al-Danfur, Husniyah Muhammad. A modification of Newton's method with third-order convergence. Journal of Basrah Researches : Sciences Vol. 37, no. 4D (Sep. 2011).
https://search.emarefa.net/detail/BIM-285898
American Medical Association (AMA)
al-Danfur, Husniyah Muhammad. A modification of Newton's method with third-order convergence. Journal of Basrah Researches : Sciences. 2011. Vol. 37, no. 4D.
https://search.emarefa.net/detail/BIM-285898
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references.
Record ID
BIM-285898