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

Type

journal article in Web of Science

Language

English

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

Keywords

Smale uniform type of convergence theorem; deformed newton method

Authors

LIN, R.; ZHAO, Y.; ŠMARDA, Z.; KHAN, Y.; WU, Q.

RIV year

2014

Released

2. 12. 2013

Publisher

Hindawi

ISBN

1085-3375

Periodical

Abstract and Applied Analysis

Year of study

2013

Number

1

State

United States of America

Pages from

1

Pages to

8

Pages count

8

URL

https://www.hindawi.com/journals/aaa/2013/923898/

Full text in the Digital Library

http://hdl.handle.net/11012/193160

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",
  journal="Abstract and Applied Analysis",
  year="2013",
  volume="2013",
  number="1",
  pages="1--8",
  doi="10.1155/2013/923898",
  issn="1085-3375",
  url="https://www.hindawi.com/journals/aaa/2013/923898/"
}