Majorization and multiplier sequences |
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Authors: | Amber Church David Kribs |
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Institution: | Department of Mathematics and Statistics, University of Guelph, Guelph, ON, Canada N1G 2W1 |
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Abstract: | We present applications of matrix methods to the analytic theory of polynomials. We first show how matrix analysis can be used to give new proofs of a number of classical results on roots of polynomials. Then we use matrix methods to establish a new log-majorization result on roots of polynomials. The theory of multiplier sequences gives the common link between the applications. |
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Keywords: | 26C10 15A18 |
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