The efficiency of convergence rate for IMSS2-5D procedure

Citation

Jamaludin, Noraini and Monsi, Mansor and Hassan, Nasruddin and Zainuddin, Nooraini and Rashid, Nur Izzati (2015) The efficiency of convergence rate for IMSS2-5D procedure. In: 2nd Innovation and Analytics Conference & Exhibition (IACE 2015), 29 Sept.-1 Oct. 2015, TH Hotel, Alor Setar, Kedah. (pp. 1-6).

Abstract

A new iterative procedure is formulated in this paper known as the interval midpoint symmetric single-step IMSS2-5D procedure. In this paper, we consider this new procedure in order to describe the rate of convergence of the IMSS2-5D procedure. It is analytically proven that the IMSS2-5D procedure has a higher convergence rate than ISS2 and ISS2-5D, verifying the rate of convergence to be at least 12. Hence, computational time is reduced since this procedure is more efficient for bounding simple zeros simultaneously. Hence, it would be effective to use this procedure in determining the zeros of polynomial simultaneously.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1063/1.4937064
Publisher:	AIP Publishing LLC
Keywords:	IMSS2-5D procedure; Convergence rate
Depositing User:	Nabilah Mustapa
Date Deposited:	24 Oct 2017 05:14
Last Modified:	24 Oct 2017 05:14
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4937064
URI:	http://psasir.upm.edu.my/id/eprint/57567
Statistic Details:	View Download Statistic

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