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
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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 |
| Statistic Details: | View Download Statistic |
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