On Newton's method applied to real polynomials

Çilingir, Figen; Jarque, Xavier

dc.contributor.author	Çilingir, Figen
dc.contributor.author	Jarque, Xavier
dc.date.accessioned	2017-03-14T13:53:47Z
dc.date.available	2017-03-14T13:53:47Z
dc.date.issued	2012
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	tr_TR
dc.identifier.issn	1023-6198
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1473
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	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Taylor&Francis Ltd.	tr_TR
dc.relation.isversionof	10.1080/10236198.2010.547493	tr_TR
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Newton's Method	tr_TR
dc.subject	Basin Of Attraction	tr_TR
dc.subject	Rational Iteration	tr_TR
dc.title	On Newton's method applied to real polynomials	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Journal Of Difference Equations And Applications	tr_TR
dc.identifier.volume	18	tr_TR
dc.identifier.issue	6	tr_TR
dc.identifier.startpage	1067	tr_TR
dc.identifier.endpage	1076	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR