DocumentCode
578428
Title
A deformed Jarratt´s method for solving non-linear equation in Banach space
Author
Shang, Xufeng ; Yuan, Yubo
Author_Institution
Sch. of Sci., China Jiliang Univ., Hangzhou, China
Volume
4
fYear
2012
fDate
15-17 July 2012
Firstpage
1530
Lastpage
1534
Abstract
In this paper, a deformed Jarratt´s iteration without the inverse of the derivative is presented firstly and the convergence theorem of this method is established by using majoring functions. The new method does not required the evaluation of the inverse of derivative, and it achieves the fourth order. Finally, illustrative examples are included to demonstrate the validity and applicability of the technique.
Keywords
Banach spaces; convergence; nonlinear equations; Banach space; convergence theorem; deformed Jarratt method; majoring functions; nonlinear equation; Abstracts; Equations; Banach space; Convergence; Jarratt; Majoring function; Nonlinear operator;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics (ICMLC), 2012 International Conference on
Conference_Location
Xian
ISSN
2160-133X
Print_ISBN
978-1-4673-1484-8
Type
conf
DOI
10.1109/ICMLC.2012.6359592
Filename
6359592
Link To Document