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Start Over Author "Brändén, Petter" Journal comptes rendus. mathematique
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1. Hyperbolicity preservers and majorization

Author

Borcea, Julius and Brändén, Petter

Subjects
*EXPONENTIAL functions, *PARTIALLY ordered sets, *TOPOLOGICAL spaces, *ANALYSIS of variance, *POLYNOMIALS, *TOPOLOGICAL degree, *LINEAR operators
Abstract

Abstract: The majorization order on 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. [ABSTRACT FROM AUTHOR]

Published
2010
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