A simple quadrature-type method for the computation of real zeros of analytic functions in finite intervals

Ioakimidis, NI; Anastasselou, EG

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:06:22Z
dc.date.available	2014-03-01T01:06:22Z
dc.date.issued	1985	en
dc.identifier.issn	0006-3835	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9337
dc.subject	Analytic Function	en
dc.subject	Approximation Method	en
dc.subject	Quadrature Rule	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	COMPUTER PROGRAMMING - Algorithms	en
dc.subject.other	ANALYTIC FUNCTIONS	en
dc.subject.other	QUADRATURE-TYPE METHOD	en
dc.subject.other	REAL ZEROS	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	A simple quadrature-type method for the computation of real zeros of analytic functions in finite intervals	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01935001	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01935001	en
heal.language	English	en
heal.publicationDate	1985	en
heal.abstract	A new direct approximate method for the computation of zeros of analytic functions is proposed. For such a function possessing one real zero in a finite part of the real axis, this method permits the determination of this zero with a satisfactory accuracy by using a quite elementary algorithm. The present method is based on the Gauss- and Lobatto-Chebyshev quadrature rules for Cauchy type principal value integrals and is always convergent. The simplicity, accuracy and unrestricted convergence of the proposed method make it competitive to the analogous classical elementary methods. Numerical results are also presented. © 1985 BIT Foundations.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	BIT	en
dc.identifier.doi	10.1007/BF01935001	en
dc.identifier.isi	ISI:A1985AGJ8100017	en
dc.identifier.volume	25	en
dc.identifier.issue	1	en
dc.identifier.spage	242	en
dc.identifier.epage	249	en