Almost strict total positivity and a class of Hurwitz polynomials

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorDimitrov, D. K.
dc.creatorPena, J. M.
dc.date2014-05-20T14:01:34Z
dc.date2014-05-20T14:01:34Z
dc.date2005-02-01
dc.date.accessioned2017-04-05T21:25:39Z
dc.date.available2017-04-05T21:25:39Z
dc.identifierJournal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 132, n. 2, p. 212-223, 2005.
dc.identifier0021-9045
dc.identifierhttp://hdl.handle.net/11449/21728
dc.identifier10.1016/j.jat.2004.10.010
dc.identifierWOS:000227196700004
dc.identifierWOS000227196700004.pdf
dc.identifierhttp://dx.doi.org/10.1016/j.jat.2004.10.010
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/867258
dc.descriptionWe establish sufficient conditions for a matrix to be almost totally positive, thus extending a result of Craven and Csordas who proved that the corresponding conditions guarantee that a matrix is strictly totally positive. Then we apply our main result in order to obtain a new criteria for a real algebraic polynomial to be a Hurwitz one. The properties of the corresponding extremal Hurwitz polynomials are discussed. (C) 2004 Elsevier B.V. All rights reserved.
dc.languageeng
dc.publisherElsevier B.V.
dc.relationJournal of Approximation Theory
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjecttotally positive matrix
dc.subjectstrictly totally positive matrix
dc.subjectshadows' lemma
dc.subjectHurwitz polynomial
dc.subjectentire function in the Laguerre-Polya class
dc.titleAlmost strict total positivity and a class of Hurwitz polynomials
dc.typeOtro


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