Vincent's theorem of 1836: Overview and future research

dc.creator	Akritas, A. G.	en
dc.date.accessioned	2015-11-23T10:21:53Z
dc.date.available	2015-11-23T10:21:53Z
dc.date.issued	2010
dc.identifier	10.1007/s10958-010-9982-1
dc.identifier.issn	10723374
dc.identifier.uri	http://hdl.handle.net/11615/25411
dc.description.abstract	In this paper, we present two different versions of Vincent's theorem of 1836 and discuss various real root isolation methods derived from them: one using continued fractions and two using bisections, the former being the fastest real root isolation method. Regarding the continued fractions method, we first show how, using a recently developed quadratic complexity bound on the values of the positive roots of polynomials, its performance has been improved by an average of 40% over its initial implementation, and then we indicate directions for future research. Bibliography: 45 titles. © 2010 Springer Science+Business Media, Inc.	en
dc.source	Journal of Mathematical Sciences	en
dc.source.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77954761670&partnerID=40&md5=fdf9e77e39e36609ca634a1a7fde187a
dc.title	Vincent's theorem of 1836: Overview and future research	en
dc.type	journalArticle	en

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