Modified newton's methods with seventh or eighth-order convergence
Author
Source
General Letters in Mathematics
Issue
Vol. 1, Issue 1 (30 Apr. 2016), pp.1-10, 10 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2016-04-30
Country of Publication
Jordan
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we consider a modification of the Newton's method which produce iterative method with fourth-order of convergence have been proposed in [4] and obtain new methods with ( seventh or eighth )-order convergence for solving non-linear equations.
A general error analysis providing the higher order of convergence is given.
Per iteration the new methods require one additional evaluation of the function.
Numerical examples are also included the performance of the new methods.
Indexing terms/
American Psychological Association (APA)
al-Danfur, Husniyah Muhammad. 2016. Modified newton's methods with seventh or eighth-order convergence. General Letters in Mathematics،Vol. 1, no. 1, pp.1-10.
https://search.emarefa.net/detail/BIM-938545
Modern Language Association (MLA)
al-Danfur, Husniyah Muhammad. Modified newton's methods with seventh or eighth-order convergence. General Letters in Mathematics Vol. 1, no. 1 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-938545
American Medical Association (AMA)
al-Danfur, Husniyah Muhammad. Modified newton's methods with seventh or eighth-order convergence. General Letters in Mathematics. 2016. Vol. 1, no. 1, pp.1-10.
https://search.emarefa.net/detail/BIM-938545
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 10
Record ID
BIM-938545