UPM Institutional Repository

The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros


Citation

Monsi, Mansor (2011) The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros. Malaysian Journal of Mathematical Sciences, 5 (2). pp. 211-227. ISSN 1823-8343; ESSN: 2289-750X

Abstract

The interval single-step procedure IS1 established by Alefeld and Herzberger (1983) has been modified. The idea of Aitken (1950) and Alefeld (1977) is used to establish the interval symmetric single-step procedure ISS1.This procedure has a faster convergence rate than does IS1. In this paper, the convergence analysis of the procedure ISS1using interval arithmetic (Moore (1962, 1979), Alefeld and Herzberger (1983)) is shown. The procedure ISS1is considered as the interval version of the point symmetric single-step procedure PSS1 Monsi (2010).


Download File

[img]
Preview
PDF
38923.pdf

Download (137kB) | Preview

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: Interval analysis; Interval procedure; Simultaneous inclusion; Simple zeros; R-order of convergence; R-factor of a sequence
Depositing User: Nabilah Mustapa
Date Deposited: 04 Sep 2015 13:05
Last Modified: 04 Sep 2015 13:05
URI: http://psasir.upm.edu.my/id/eprint/38923
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item