Otro
Almost strict total positivity and a class of Hurwitz polynomials
Registro en:
Journal of Approximation Theory. San Diego: Academic Press Inc. Elsevier B.V., v. 132, n. 2, p. 212-223, 2005.
0021-9045
10.1016/j.jat.2004.10.010
WOS:000227196700004
WOS000227196700004.pdf
Autor
Dimitrov, D. K.
Pena, J. M.
Resumen
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.