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Polynomials with All Zeros Real and in a Prescribed Interval |
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| Authors: | Jean B. Lasserre |
| Affiliation: | (1) LAAS-CNRS, 7 Avenue du Colonel Roche, 31077 Toulouse Cédex 4, France |
| Abstract: | We provide a characterization of the real-valued univariate polynomials that have only real zeros, all in a prescribed interval [a,b]. The conditions are stated in terms of positive semidefiniteness of related Hankel matrices. |
| Keywords: | algebraic combinatorics real algebraic geometry the IE1" > |
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