Almost strict total positivity and a class of Hurwitz polynomials
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 132 شماره
صفحات -
تاریخ انتشار 2005