On Newton's Method Applied To Real Polynomials
| dc.contributor.author | Jarque, Xavier | |
| dc.contributor.author | Cilingir, Figen | |
| dc.date.accessioned | 2017-03-14T13:53:47Z | |
| dc.date.accessioned | 2025-09-18T13:27:39Z | |
| dc.date.available | 2017-03-14T13:53:47Z | |
| dc.date.available | 2025-09-18T13:27:39Z | |
| dc.date.issued | 2012 | |
| dc.description | Jarque, Xavier/0000-0002-6576-9780 | en_US |
| dc.description.abstract | It is known that if we apply Newton's method to the complex function F(z) = P(z)e(Q(z)), with deg(Q) > 2, then the immediate basin of attraction of the roots of P has finite area. In this paper, we show that under certain conditions on the polynomial P, if deg(Q) = 1, then there is at least one immediate basin of attraction having infinite area. | en_US |
| dc.description.sponsorship | FEDER [MTM-2008-01486, MTM-2006-05849]; European network [035651-2-CODY]; [2009SGR-792] | en_US |
| dc.description.sponsorship | The second author is partially supported by the Catalan grant 2009SGR-792, by the Spanish grants MTM-2008-01486 and MTM-2006-05849 Consolider (including a FEDER contribution), and by the European network 035651-2-CODY. | en_US |
| dc.identifier.citation | Çilingir, F., Jarque, X. (2012). On Newton's method applied to real polynomials. Journal Of Difference Equations And Applications, 18(6), 1067-1076. http://dx.doi.org/10.1080/10236198.2010.547493 | en_US |
| dc.identifier.doi | 10.1080/10236198.2010.547493 | |
| dc.identifier.issn | 1023-6198 | |
| dc.identifier.issn | 1563-5120 | |
| dc.identifier.scopus | 2-s2.0-84865813557 | |
| dc.identifier.uri | https://doi.org/10.1080/10236198.2010.547493 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13012 | |
| dc.language.iso | en | en_US |
| dc.publisher | Taylor & Francis Ltd | en_US |
| dc.relation.ispartof | Journal of Difference Equations and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Newton'S Method | en_US |
| dc.subject | Basin Of Attraction | en_US |
| dc.subject | Rational Iteration | en_US |
| dc.title | On Newton's Method Applied To Real Polynomials | en_US |
| dc.title | On Newton's method applied to real polynomials | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jarque, Xavier/0000-0002-6576-9780 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jarque, Xavier] Univ Rovira & Virgili, Dept Engn Informat & Matemat, Tarragona 43007, Spain; [Cilingir, Figen] Cankaya Univ, Dept Math & Comp, Ankara, Turkey | en_US |
| gdc.description.endpage | 1076 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 1067 | en_US |
| gdc.description.volume | 18 | en_US |
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