The Quadratic Numerical Range and the Location of Zeros of Polynomials
2003; Society for Industrial and Applied Mathematics; Volume: 25; Issue: 1 Linguagem: Inglês
10.1137/s0895479802411651
ISSN1095-7162
Autores Tópico(s)Advanced Optimization Algorithms Research
ResumoPrevious article Next article The Quadratic Numerical Range and the Location of Zeros of PolynomialsHansjörg LindenHansjörg Lindenhttps://doi.org/10.1137/S0895479802411651PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractContainment regions for the zeros of a monic polynomial are given with the aid of the quadratic numerical range of different types of companion matrices of the polynomial.[1] A. Abdurakhmanov, Geometry of a Hausdorff domain in problems of localization of the spectrum of arbitrary matrices, Mat. Sb. (N.S.), 131(173) (1986), 0–040–51, 126 88e:47010 Google Scholar[2] Yuri Alpin, , Mao‐Ting Chien and , Lina Yeh, The numerical radius and bounds for zeros of a polynomial, Proc. Amer. Math. 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Villat, Traité de Physique Théorique et de Physique Mathématique, XII, Gauthier‐Villars, 1959xi+172 22:1587 Google ScholarKeywordsquadratic numerical rangecompanion matrixzeros of polynomials Previous article Next article FiguresRelatedReferencesCited ByDetails The block numerical range of matrix polynomialsApplied Mathematics and Computation, Vol. 211, No. 2 | 1 May 2009 Cross Ref Scaled generalized Bernstein polynomials and containment regions for the zeros of polynomialsJournal of Computational and Applied Mathematics, Vol. 206, No. 1 | 1 Sep 2007 Cross Ref Volume 25, Issue 1| 2003SIAM Journal on Matrix Analysis and Applications1-300 History Published online:31 July 2006 InformationCopyright © 2003 Society for Industrial and Applied MathematicsKeywordsquadratic numerical rangecompanion matrixzeros of polynomialsMSC codes15A6026C1030C1565H05PDF Download Article & Publication DataArticle DOI:10.1137/S0895479802411651Article page range:pp. 266-284ISSN (print):0895-4798ISSN (online):1095-7162Publisher:Society for Industrial and Applied Mathematics
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