A formal comparison of the delves-lyness and burniston-siewert methods for locating the zeros of analytic functions

Anastasselou, EG

dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:06:31Z
dc.date.available	2014-03-01T01:06:31Z
dc.date.issued	1986	en
dc.identifier.issn	0272-4979	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9435
dc.subject.classification	Mathematics, Applied	en
dc.title	A formal comparison of the delves-lyness and burniston-siewert methods for locating the zeros of analytic functions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1093/imanum/6.3.337	en
heal.identifier.secondary	http://dx.doi.org/10.1093/imanum/6.3.337	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	The classical Delves-Lyness and Burniston-Siewert methods for the derivation of closed-form integral formulae for the zeros of analytic functions in the complex plane are compared. Although the two methods have different starting points and yield different algorithms, it is shown that when applied to the problem of locating the zeros of an analytic function inside a simple closed contour, the Delves-Lyness method is formally equivalent to a special case of the Burniston-Siewert method. © 1986 Oxford University Press.	en
heal.publisher	OXFORD UNIV PRESS UNITED KINGDOM	en
heal.journalName	IMA Journal of Numerical Analysis	en
dc.identifier.doi	10.1093/imanum/6.3.337	en
dc.identifier.isi	ISI:A1986D510900008	en
dc.identifier.volume	6	en
dc.identifier.issue	3	en
dc.identifier.spage	337	en
dc.identifier.epage	341	en