Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500820 | Journal of Approximation Theory | 2005 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dimitar K. Dimitrov, Juan Manuel Peña,