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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, N., Monsi, M., Hassan, N., Zainuddin, N., Rashid, N.I.
Format: Conference or Workshop Item
Published: American Institute of Physics Inc. 2015
Online Access:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978036046&doi=10.1063%2f1.4937064&partnerID=40&md5=10ab065fb40626b969c7dfb6bdb734b4
http://eprints.utp.edu.my/30743/
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spelling my.utp.eprints.307432022-03-25T07:16:43Z The efficiency of convergence rate for IMSS2-5D procedure Jamaludin, N. Monsi, M. Hassan, N. Zainuddin, N. Rashid, N.I. 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. © 2015 AIP Publishing LLC. American Institute of Physics Inc. 2015 Conference or Workshop Item NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978036046&doi=10.1063%2f1.4937064&partnerID=40&md5=10ab065fb40626b969c7dfb6bdb734b4 Jamaludin, N. and Monsi, M. and Hassan, N. and Zainuddin, N. and Rashid, N.I. (2015) The efficiency of convergence rate for IMSS2-5D procedure. In: UNSPECIFIED. http://eprints.utp.edu.my/30743/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
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. © 2015 AIP Publishing LLC.
format Conference or Workshop Item
author Jamaludin, N.
Monsi, M.
Hassan, N.
Zainuddin, N.
Rashid, N.I.
spellingShingle Jamaludin, N.
Monsi, M.
Hassan, N.
Zainuddin, N.
Rashid, N.I.
The efficiency of convergence rate for IMSS2-5D procedure
author_facet Jamaludin, N.
Monsi, M.
Hassan, N.
Zainuddin, N.
Rashid, N.I.
author_sort Jamaludin, N.
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 American Institute of Physics Inc.
publishDate 2015
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978036046&doi=10.1063%2f1.4937064&partnerID=40&md5=10ab065fb40626b969c7dfb6bdb734b4
http://eprints.utp.edu.my/30743/
_version_ 1738657150447648768
score 13.211869

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