Detail publikace

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.

Originální název

Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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

Klíčová slova

Smale uniform type of convergence theorem; deformed newton method

Autoři

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

Rok RIV

2014

Vydáno

2. 12. 2013

Nakladatel

Hindawi

ISSN

1085-3375

Periodikum

Abstract and Applied Analysis

Ročník

2013

Číslo

1

Stát

Spojené státy americké

Strany od

1

Strany do

8

Strany počet

8

URL

Plný text v Digitální knihovně

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/"
}