An efficient numerical method for computation of the number of complex zeros of real polynomials inside the open unit disk

dc.contributor.author	Shaikh, Muhammad Mujtaba
dc.contributor.author	Boubaker, Karem
dc.date.accessioned	2018-07-30T05:49:43Z
dc.date.available	2018-07-30T05:49:43Z
dc.date.issued	2016
dc.identifier.issn	1815-3852
dc.identifier.uri	https://journal.uob.edu.bh:443/handle/123456789/1146
dc.description.abstract	In this paper, a simple and efficient numerical method is proposed for computing the number of complex zeros of a real polynomial lying inside the unit disk. The proposed protocol uses the Boubaker polynomial expansion scheme (BPES) to build sequence of polynomials based on the concept of Sturm sequences. The method is used in a direct way without using any restrictions in reference to other existing methods. The protocol is applied to some example polynomials of different orders and utility of the algorithm is noticed.	en_US
dc.language.iso	en	en_US
dc.publisher	University of Bahrain	en_US
dc.rights	Attribution-NonCommercial-ShareAlike 4.0 International	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/4.0/	*
dc.subject	Real polynomials
dc.subject	Complex zeros
dc.subject	Sturm sequences
dc.subject	Boubaker polynomials
dc.title	An efficient numerical method for computation of the number of complex zeros of real polynomials inside the open unit disk	en_US
dc.type	Article	en_US
dc.source.title	Arab Journal of Basic and Applied Sciences
dc.abbreviatedsourcetitle	AJBAS