On the simultaneous determination of zeros of analytic or sectionally analytic functions

Ioakimidis, NI; Anastasselou, EG

dc.contributor.author	Ioakimidis, NI	en
dc.contributor.author	Anastasselou, EG	en
dc.date.accessioned	2014-03-01T01:06:38Z
dc.date.available	2014-03-01T01:06:38Z
dc.date.issued	1986	en
dc.identifier.issn	0010-485X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9525
dc.subject	AMS Subject Classifications (1980): Primary, 65H05, secondary, 30C15, 30E20	en
dc.subject	Analytic functions	en
dc.subject	polynomials	en
dc.subject	Riemann-Hilbert boundary value problem	en
dc.subject	sectionally analytic functions	en
dc.subject	simultaneous iterative methods	en
dc.subject	single-step method	en
dc.subject	zeros	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.other	ANALYTIC FUNCTIONS	en
dc.subject.other	NUMERICAL METHODS	en
dc.subject.other	SIMULTANEOUS ITERATIVE METHODS	en
dc.subject.other	SINGLE-STEP METHOD	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	On the simultaneous determination of zeros of analytic or sectionally analytic functions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02240070	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02240070	en
heal.language	English	en
heal.publicationDate	1986	en
heal.abstract	It is shown how the total-step and single-step iterative methods, as well as their improvements, for the simultaneous determination of simple zeros of polynomials can be used (with one slight modification) for the determination of simple zeros of analytic functions (inside or outside a simple smooth closed contour in the complex plane) or sectionally analytic functions (outside their arcs of discontinuity). Numerical results, obtained by the single-step method, are also presented. © 1986 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computing	en
dc.identifier.doi	10.1007/BF02240070	en
dc.identifier.isi	ISI:A1986C390500006	en
dc.identifier.volume	36	en
dc.identifier.issue	3	en
dc.identifier.spage	239	en
dc.identifier.epage	247	en