Almost strict total positivity and a class of Hurwitz polynomials
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Elsevier B.V.
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Resumo
We establish sufficient conditions for a matrix to be almost totally positive, thus extending a result of Craven and Csordas who proved that the corresponding conditions guarantee that a matrix is strictly totally positive. Then we apply our main result in order to obtain a new criteria for a real algebraic polynomial to be a Hurwitz one. The properties of the corresponding extremal Hurwitz polynomials are discussed. (C) 2004 Elsevier B.V. All rights reserved.
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totally positive matrix, strictly totally positive matrix, shadows' lemma, Hurwitz polynomial, entire function in the Laguerre-Polya class
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Inglês
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Journal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 132, n. 2, p. 212-223, 2005.
