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

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 co...

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Main Author: Monsi, Mansor
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2011
Online Access:http://psasir.upm.edu.my/id/eprint/38923/1/38923.pdf
http://psasir.upm.edu.my/id/eprint/38923/
http://einspem.upm.edu.my/journal/fullpaper/vol5no2/5.%20mansor%20monsi.pdf
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spelling my.upm.eprints.389232015-09-04T13:05:09Z http://psasir.upm.edu.my/id/eprint/38923/ The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros Monsi, Mansor 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). Institute for Mathematical Research, Universiti Putra Malaysia 2011-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38923/1/38923.pdf 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 http://einspem.upm.edu.my/journal/fullpaper/vol5no2/5.%20mansor%20monsi.pdf
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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).
format Article
author Monsi, Mansor
spellingShingle Monsi, Mansor
The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros
author_facet Monsi, Mansor
author_sort Monsi, Mansor
title The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros
title_short The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros
title_full The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros
title_fullStr The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros
title_full_unstemmed The interval symmetric single-step ISS1 procedure for simultaneously bounding simple polynomial zeros
title_sort interval symmetric single-step iss1 procedure for simultaneously bounding simple polynomial zeros
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/38923/1/38923.pdf
http://psasir.upm.edu.my/id/eprint/38923/
http://einspem.upm.edu.my/journal/fullpaper/vol5no2/5.%20mansor%20monsi.pdf
_version_ 1643832274189287424
score 13.18916

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