Publication detail

New families of third-order iterative methods for finding multiple roots

LIN, R. REN, H. ŠMARDA, Z. WU, Q. KHAN, Y. HU, J.

Original Title

New families of third-order iterative methods for finding multiple roots

English Title

New families of third-order iterative methods for finding multiple roots

Type

journal article in Web of Science

Language

en

Original Abstract

Two families of third-order iterative methods for finding multiple roots of nonlinear equations are developed in this paper. Mild conditions are given to assure the cubic convergence of two iteration schemes (I) and (II). The presented families include many third-order methods for finding multiple roots, such as the known Dong's methods and Neta's method.

English abstract

Two families of third-order iterative methods for finding multiple roots of nonlinear equations are developed in this paper. Mild conditions are given to assure the cubic convergence of two iteration schemes (I) and (II). The presented families include many third-order methods for finding multiple roots, such as the known Dong's methods and Neta's method.

Keywords

iterative method, convergence criteria, multiple roots of nonlinear equations

RIV year

2014

Released

15.06.2014

Publisher

Hindawi

Location

USA

ISBN

1110-757X

Periodical

Journal of Applied Mathematics

Year of study

2014

Number

1

State

US

Pages from

1

Pages to

9

Pages count

9

URL

Full text in the Digital Library

Documents

BibTex


@article{BUT110123,
  author="Rongfei {Lin} and H.M. {Ren} and Zdeněk {Šmarda} and Qingbiao {Wu} and Yasir {Khan} and Jianfeng {Hu}",
  title="New families of third-order iterative methods for finding multiple roots",
  annote="Two families of third-order iterative methods for finding multiple roots of nonlinear equations are developed in this paper. Mild conditions are given to assure the cubic convergence of two iteration schemes (I) and (II). The presented families include many third-order methods for finding multiple roots, such as the known Dong's methods and Neta's method.",
  address="Hindawi",
  chapter="110123",
  doi="10.1155/2014/812072",
  howpublished="online",
  institution="Hindawi",
  number="1",
  volume="2014",
  year="2014",
  month="june",
  pages="1--9",
  publisher="Hindawi",
  type="journal article in Web of Science"
}