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).
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol5no...
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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 |
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