A derivative-free transformation preserving the order of convergence of iteration methods in case of multiple zeros

Kioustelidis, JB

dc.contributor.author	Kioustelidis, JB	en
dc.date.accessioned	2014-03-01T01:05:45Z
dc.date.available	2014-03-01T01:05:45Z
dc.date.issued	1979	en
dc.identifier.issn	0029-599X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/8962
dc.subject	Subject Classifications: AMS(MOS): 65B99, 65H05, CR: 5.15	en
dc.subject.classification	Mathematics, Applied	en
dc.title	A derivative-free transformation preserving the order of convergence of iteration methods in case of multiple zeros	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01399321	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01399321	en
heal.language	English	en
heal.publicationDate	1979	en
heal.abstract	If s is a zero of the function f(x) with multiplicity n, and \|f(n+1)(x)\| is bounded in a neighborhood of s, then s is a simple zero of the function {Mathematical expression} and \|h″(x)\| is bounded in some neighborhood of s. Iteration methods like Newton's Steffensen's or the secant method converge therefore to s without reduction of their order of convergence, if they are applied on h(x) instead of f(x). © 1979 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Numerische Mathematik	en
dc.identifier.doi	10.1007/BF01399321	en
dc.identifier.isi	ISI:A1979HZ65900003	en
dc.identifier.volume	33	en
dc.identifier.issue	4	en
dc.identifier.spage	385	en
dc.identifier.epage	389	en