Citation
Monsi, Mansor and Muhamad Rusli, Syaida Fadhilah and Hassan, Nasruddin and Ismail, Fudziah and Bibi, Zarina
(2015)
On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros.
Malaysian Journal of Mathematical Sciences, 9 (2).
pp. 301-315.
ISSN 1823-8343; ESSN: 2289-750X
Abstract
The point symmetric single-step procedure established by Monsi (2012) has R-order of convergence at least 3. This procedure is modified by repeating the steps in the procedure r times without involving function evaluations. This modified procedure is called the point repeated symmetric single-step PRSS1. The R-order of convergence of PRSS1 is at least (2r + 1)(r ≥ 1) Computational experiences in the implementation of the interval version of PRSS1 (see Monsi and Wolfe, 1988) showed that the repeated symmetric single-step procedure is more efficient than the total step (Kerner, 1966) and the single-step (Alefeld and Herzberger, 1974) methods.
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol9no...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Institute for Mathematical Research, Universiti Putra Malaysia |
| Keywords: | Point procedure; R-order of convergence; Simple zeros; Simultaneous estimation |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 Sep 2015 13:56 |
| Last Modified: | 04 Sep 2015 13:56 |
| URI: | http://psasir.upm.edu.my/id/eprint/38962 |
| Statistic Details: | View Download Statistic |
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