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Hyperbolicity preservers and majorization
Department of Mathematics, Stockholm University.ORCID iD: 0000-0003-1055-1474
2010 (English)In: Comptes rendus. Mathematique, ISSN 1631-073X, ISSN 1631-073X, Vol. 348, no 15-16, 843-846 p.Article in journal (Refereed) Published
Abstract [en]

The majorization order on R(n) induces a natural partial ordering on the space of univariate hyperbolic polynomials of degree n. We characterize all linear operators on polynomials that preserve majorization, and show that it is sufficient (modulo obvious degree constraints) to preserve hyperbolicity.

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2010. Vol. 348, no 15-16, 843-846 p.
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URN: urn:nbn:se:kth:diva-78724DOI: 10.1016/j.crma.2010.07.006ISI: 000281592700005OAI: diva2:492808
QC 20120221Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2012-02-21Bibliographically approved

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Brändén, Petter
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