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

English Title

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

Type

journal article in Scopus

Language

en

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.

English 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

RIV year

2015

Released

05.02.2015

Publisher

Hindawi

ISBN

1537-744X

Periodical

The Scientific World Journal

Year of study

2015

Number

1

State

US

Pages from

1

Pages to

9

Pages count

9

URL

Full text in the Digital Library

Documents

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",
  annote="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.",
  address="Hindawi",
  chapter="115068",
  doi="10.1155/2015/346571",
  howpublished="online",
  institution="Hindawi",
  number="1",
  volume="2015",
  year="2015",
  month="february",
  pages="1--9",
  publisher="Hindawi",
  type="journal article in Scopus"
}