Almost strict total positivity and a class of Hurwitz polynomials

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Data

2005-02-01

Autores

Dimitrov, D. K.
Pena, J. M.

Título da Revista

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Editor

Elsevier B.V.

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.

Descrição

Palavras-chave

totally positive matrix, strictly totally positive matrix, shadows' lemma, Hurwitz polynomial, entire function in the Laguerre-Polya class

Como citar

Journal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 132, n. 2, p. 212-223, 2005.