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Institute
- Institut für Angewandte Forschung - IAF (115) (remove)
IAF Jahresbericht 2002
(2003)
IAF Jahresbericht 2003
(2004)
IAF Jahresbericht 2001
(2002)
IAF Jahresbericht 2000
(2001)
In 1970, B.A. Asner, Jr., proved that for a real quasi-stable polynomial, i.e., a polynomial whose zeros lie in the closed left half-plane of the complex plane, its finite Hurwitz matrix is totally nonnegative, i.e., all its minors are nonnegative, and that the converse statement is not true. In this work, we explain this phenomenon in detail, and provide necessary and sufficient conditions for a real polynomial to have a totally nonnegative finite Hurwitz matrix.