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Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces
Joint Authors
Gu, Chuanqing
Chen, Liang
Ma, Yanfang
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-30
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study a modified Newton's method with fifth-order convergence for nonlinear equations in Banach spaces.
We make an attempt to establish the semilocal convergence of this method by using recurrence relations.
The recurrence relations for the method are derived, and then an existence-uniqueness theorem is given to establish the R-order of the method to be five and a priori error bounds.
Finally, a numerical application is presented to demonstrate our approach.
American Psychological Association (APA)
Chen, Liang& Gu, Chuanqing& Ma, Yanfang. 2011. Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-497993
Modern Language Association (MLA)
Chen, Liang…[et al.]. Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces. Journal of Applied Mathematics No. 2011 (2011), pp.1-15.
https://search.emarefa.net/detail/BIM-497993
American Medical Association (AMA)
Chen, Liang& Gu, Chuanqing& Ma, Yanfang. Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-15.
https://search.emarefa.net/detail/BIM-497993
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497993