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A New Inertia Theorem for Stein Equations,Inertia of Invertible Hermitian Block Toeplitz Matrices and Matrix Orthogonal Polynomials
Authors:Leonid?Lerer  author-information"  >  author-information__contact u-icon-before"  >  mailto:llerer@techunix.technion.ac.il"   title="  llerer@techunix.technion.ac.il"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,André?C. M.?Ran
Affiliation:(1) Department of Mathematics, Technion-Israel Institute of Technology, Haifa, 3200, Israel;(2) Divisie Wiskunde en Informatica, Faculteit Wiskunde en Informatica, Vrije Universiteit Amsterdam, De Boelelaan 1081a, HV Amsterdam, 1081, The Netherlands
Abstract:In this paper we present an inertia result for Stein equations withan indefinite right hand side. This result is applied to establish connnectionsbetween the inertia of invertible hermitian block Toeplitz matrices and associatedorthogonal polynomials.
Keywords:Primary: 15A24  47B35  Secondary: 47A56
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