| 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 |