Publication detail

Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions

ZHAO, Y. LIN, R. ŠMARDA, Z. KHAN, Y. CHEN, J. WU, Q.

Original Title

Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions

Type

journal article in Scopus

Language

English

Original Abstract

Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt method and present an error estimate. Finally, three examples are provided to show the application of the theorem.

Keywords

Jarrat method; Holder conditions

Authors

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

RIV year

2015

Released

5. 2. 2015

Publisher

Hindawi

ISBN

1537-744X

Periodical

The Scientific World Journal

Year of study

2015

Number

1

State

United States of America

Pages from

1

Pages to

9

Pages count

9

URL

https://www.hindawi.com/journals/tswj/2015/346571/

Full text in the Digital Library

http://hdl.handle.net/11012/193169

BibTex

@article{BUT115068,
  author="Yueqing {Zhao} and Rongfei {Lin} and Zdeněk {Šmarda} and Yasir {Khan} and Jinbiao {Chen} and Qingbiao {Wu}",
  title="Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions",
  journal="The Scientific World Journal",
  year="2015",
  volume="2015",
  number="1",
  pages="1--9",
  doi="10.1155/2015/346571",
  issn="1537-744X",
  url="https://www.hindawi.com/journals/tswj/2015/346571/"
}