Publication detail
Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces
LIN, R. ZHAO, Y. ŠMARDA, Z. KHAN, Y. WU, Q.
Original Title
Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces
English Title
Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces
Type
journal article in Web of Science
Language
en
Original Abstract
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examples
English abstract
Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examples
Keywords
Smale uniform type of convergence theorem; deformed newton method
RIV year
2014
Released
02.12.2013
Publisher
Hindawi
ISBN
1085-3375
Periodical
Abstract and Applied Analysis
Year of study
2013
Number
1
State
US
Pages from
1
Pages to
8
Pages count
8
URL
Full text in the Digital Library
Documents
BibTex
@article{BUT107627,
author="Rongfei {Lin} and Yueqing {Zhao} and Zdeněk {Šmarda} and Yasir {Khan} and Qingbiao {Wu}",
title="Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces",
annote="Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examples",
address="Hindawi",
chapter="107627",
doi="10.1155/2013/923898",
howpublished="online",
institution="Hindawi",
number="1",
volume="2013",
year="2013",
month="december",
pages="1--8",
publisher="Hindawi",
type="journal article in Web of Science"
}