Sparse polynomial interpolation with Bernstein polynomials

İmamoğlu, Erdal

dc.contributor.author	İmamoğlu, Erdal
dc.date.accessioned	2021-12-12T17:02:26Z
dc.date.available	2021-12-12T17:02:26Z
dc.date.issued	2021
dc.identifier.issn	1300-0098
dc.identifier.issn	1303-6149
dc.identifier.uri	https://doi.org/10.3906/mat-2012-65
dc.identifier.uri	https://hdl.handle.net/20.500.11857/3459
dc.description.abstract	We present an algorithm for interpolating an unknown univariate polynomial f that has a t sparse representation (t << deg(f) ) using Bernstein polynomials as term basis from 2t evaluations. Our method is based on manipulating given black box polynomial for f so that we can make use of Prony's algorithm.	en_US
dc.description.sponsorship	Scientific and Technological Research Council of Turkey (TUBTAK)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) [119F426]	en_US
dc.description.sponsorship	The authors are supported by the Scientific and Technological Research Council of Turkey (TUBTAK) under Project 119F426.	en_US
dc.language.iso	eng	en_US
dc.publisher	Scientific Technical Research Council Turkey-Tubitak	en_US
dc.relation.ispartof	Turkish Journal of Mathematics	en_US
dc.identifier.doi	10.3906/mat-2012-65
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.subject	Symbolic computation	en_US
dc.subject	sparse polynomial interpolation	en_US
dc.subject	Bernstein polynomials	en_US
dc.subject	Bernstein polynomial basis	en_US
dc.title	Sparse polynomial interpolation with Bernstein polynomials	en_US
dc.type	article
dc.authorid	Imamoglu, Erdal/0000-0003-2137-9921
dc.department	Fakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US
dc.authorscopusid	56517990300
dc.identifier.wos	WOS:000696963500001	en_US
dc.identifier.scopus	2-s2.0-85115804872	en_US
dc.institutionauthor	İmamoğlu, Erdal