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


Citation

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).

Abstract

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.


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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4824174

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4824174
Publisher: AIP Publishing LLC
Keywords: Interval analysis; Inclusion; Convergence; R-order of convergence; Simultaneous bounding; Polynomial; Real zeros
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 09:41
Last Modified: 08 Sep 2017 09:41
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4824174
URI: http://psasir.upm.edu.my/id/eprint/57179
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