Almost strict total positivity and a class of Hurwitz polynomials

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

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/21728

Title:

Almost strict total positivity and a class of Hurwitz polynomials

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Univ Zaragoza

ISSN:

0021-9045

Abstract:

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.

Issue Date:

1-Feb-2005

Citation:

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

Time Duration:

212-223

Publisher:

Elsevier B.V.

Keywords:

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

Source:

http://dx.doi.org/10.1016/j.jat.2004.10.010

URI:

http://hdl.handle.net/11449/21728

Access Rights:

Acesso aberto

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/21728

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