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On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros

In this paper, we present the analysis of the rate of convergence of the interval repeated midpoint zoro symmetric single-step procedure (IRMZSS) which is the extension of the interval midpoint zoro symmetric single-step procedure (IMZSS). The results show that the procedure IRMZSS has R-order of co...

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Main Authors: Monsi, Mansor, Mohammad Rusli, Syaida Fadhilah, Senu, Norazak, Ismail, Fudziah, Ibrahim, Zarina Bibi
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing LLC 2013
Online Access:http://psasir.upm.edu.my/id/eprint/57179/1/On%20the%20convergence%20rate%20of%20interval%20repeated%20midpoint%20zoro%20symmetric%20single-step%20procedure%20for%20simultaneous%20bounding%20the%20polynomial%20zeros.pdf
http://psasir.upm.edu.my/id/eprint/57179/
http://aip.scitation.org/doi/abs/10.1063/1.4824174
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spelling my.upm.eprints.571792017-09-08T09:41:29Z http://psasir.upm.edu.my/id/eprint/57179/ On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros Monsi, Mansor Mohammad Rusli, Syaida Fadhilah Senu, Norazak Ismail, Fudziah Ibrahim, Zarina Bibi In this paper, we present the analysis of the rate of convergence of the interval repeated midpoint zoro symmetric single-step procedure (IRMZSS) which is the extension of the interval midpoint zoro symmetric single-step procedure (IMZSS). The results show that the procedure IRMZSS has R-order of convergence at least 7r + 1 (r ≥ 1) or 0R (IRMZSS) ≥ 7 r + 1 (r ≥ 1), whereas the procedure IMZSS R-order of convergence at least 8 or 0R (IMZSS) ≥ 8. In fact 0R (IRMZSS) ≥ 0R (IMZSS) and 0R (IRMZSS) = 0R (IRMZSS) = 0R (IMZSS) when r = 1. AIP Publishing LLC 2013 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57179/1/On%20the%20convergence%20rate%20of%20interval%20repeated%20midpoint%20zoro%20symmetric%20single-step%20procedure%20for%20simultaneous%20bounding%20the%20polynomial%20zeros.pdf Monsi, Mansor and Mohammad Rusli, Syaida Fadhilah and Senu, Norazak and Ismail, Fudziah and Ibrahim, Zarina Bibi (2013) On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros. In: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013), 5-7 Feb. 2013, Kuala Lumpur, Malaysia. (pp. 610-614). http://aip.scitation.org/doi/abs/10.1063/1.4824174 10.1063/1.4824174
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 In this paper, we present the analysis of the rate of convergence of the interval repeated midpoint zoro symmetric single-step procedure (IRMZSS) which is the extension of the interval midpoint zoro symmetric single-step procedure (IMZSS). The results show that the procedure IRMZSS has R-order of convergence at least 7r + 1 (r ≥ 1) or 0R (IRMZSS) ≥ 7 r + 1 (r ≥ 1), whereas the procedure IMZSS R-order of convergence at least 8 or 0R (IMZSS) ≥ 8. In fact 0R (IRMZSS) ≥ 0R (IMZSS) and 0R (IRMZSS) = 0R (IRMZSS) = 0R (IMZSS) when r = 1.
format Conference or Workshop Item
author Monsi, Mansor
Mohammad Rusli, Syaida Fadhilah
Senu, Norazak
Ismail, Fudziah
Ibrahim, Zarina Bibi
spellingShingle Monsi, Mansor
Mohammad Rusli, Syaida Fadhilah
Senu, Norazak
Ismail, Fudziah
Ibrahim, Zarina Bibi
On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros
author_facet Monsi, Mansor
Mohammad Rusli, Syaida Fadhilah
Senu, Norazak
Ismail, Fudziah
Ibrahim, Zarina Bibi
author_sort Monsi, Mansor
title On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros
title_short On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros
title_full On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros
title_fullStr On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros
title_full_unstemmed On the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros
title_sort on the convergence rate of interval repeated midpoint zoro symmetric single-step procedure for simultaneous bounding the polynomial zeros
publisher AIP Publishing LLC
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/57179/1/On%20the%20convergence%20rate%20of%20interval%20repeated%20midpoint%20zoro%20symmetric%20single-step%20procedure%20for%20simultaneous%20bounding%20the%20polynomial%20zeros.pdf
http://psasir.upm.edu.my/id/eprint/57179/
http://aip.scitation.org/doi/abs/10.1063/1.4824174
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score 13.244745

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