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The efficiency of convergence rate for IMSS2-5D procedure

A new iterative procedure is formulated in this paper known as the interval midpoint symmetric single-step IMSS2-5D procedure. In this paper, we consider this new procedure in order to describe the rate of convergence of the IMSS2-5D procedure. It is analytically proven that the IMSS2-5D procedure h...

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Main Authors: Jamaludin, Noraini, Monsi, Mansor, Hassan, Nasruddin, Zainuddin, Nooraini, Rashid, Nur Izzati
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2015
Online Access:http://psasir.upm.edu.my/id/eprint/57567/1/The%20efficiency%20of%20convergence%20rate%20for%20IMSS2-5D%20procedure.pdf
http://psasir.upm.edu.my/id/eprint/57567/
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spelling my.upm.eprints.575672017-10-24T05:14:04Z http://psasir.upm.edu.my/id/eprint/57567/ The efficiency of convergence rate for IMSS2-5D procedure Jamaludin, Noraini Monsi, Mansor Hassan, Nasruddin Zainuddin, Nooraini Rashid, Nur Izzati A new iterative procedure is formulated in this paper known as the interval midpoint symmetric single-step IMSS2-5D procedure. In this paper, we consider this new procedure in order to describe the rate of convergence of the IMSS2-5D procedure. It is analytically proven that the IMSS2-5D procedure has a higher convergence rate than ISS2 and ISS2-5D, verifying the rate of convergence to be at least 12. Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously. Hence, it would be effective to use this procedure in determining the zeros of polynomial simultaneously. AIP Publishing LLC 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57567/1/The%20efficiency%20of%20convergence%20rate%20for%20IMSS2-5D%20procedure.pdf Jamaludin, Noraini and Monsi, Mansor and Hassan, Nasruddin and Zainuddin, Nooraini and Rashid, Nur Izzati (2015) The efficiency of convergence rate for IMSS2-5D procedure. In: 2nd Innovation and Analytics Conference & Exhibition (IACE 2015), 29 Sept.-1 Oct. 2015, TH Hotel, Alor Setar, Kedah. (pp. 1-6). 10.1063/1.4937064
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 A new iterative procedure is formulated in this paper known as the interval midpoint symmetric single-step IMSS2-5D procedure. In this paper, we consider this new procedure in order to describe the rate of convergence of the IMSS2-5D procedure. It is analytically proven that the IMSS2-5D procedure has a higher convergence rate than ISS2 and ISS2-5D, verifying the rate of convergence to be at least 12. Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously. Hence, it would be effective to use this procedure in determining the zeros of polynomial simultaneously.
format Conference or Workshop Item
author Jamaludin, Noraini
Monsi, Mansor
Hassan, Nasruddin
Zainuddin, Nooraini
Rashid, Nur Izzati
spellingShingle Jamaludin, Noraini
Monsi, Mansor
Hassan, Nasruddin
Zainuddin, Nooraini
Rashid, Nur Izzati
The efficiency of convergence rate for IMSS2-5D procedure
author_facet Jamaludin, Noraini
Monsi, Mansor
Hassan, Nasruddin
Zainuddin, Nooraini
Rashid, Nur Izzati
author_sort Jamaludin, Noraini
title The efficiency of convergence rate for IMSS2-5D procedure
title_short The efficiency of convergence rate for IMSS2-5D procedure
title_full The efficiency of convergence rate for IMSS2-5D procedure
title_fullStr The efficiency of convergence rate for IMSS2-5D procedure
title_full_unstemmed The efficiency of convergence rate for IMSS2-5D procedure
title_sort efficiency of convergence rate for imss2-5d procedure
publisher AIP Publishing LLC
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/57567/1/The%20efficiency%20of%20convergence%20rate%20for%20IMSS2-5D%20procedure.pdf
http://psasir.upm.edu.my/id/eprint/57567/
_version_ 1643836525962592256
score 13.211869

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