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On the convergence of the point repeated symmetric single-step procedure for simultaneous estimation of polynomial zeros


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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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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