Journal of Algebraic Combinatorics

, Volume 16, Issue 3, pp 231–237 | Cite as

Polynomials with All Zeros Real and in a Prescribed Interval

  • Jean B. Lasserre
Article

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.

algebraic combinatorics real algebraic geometry the \(\mathbb{K}\)-moment problem 

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Jean B. Lasserre
    • 1
  1. 1.LAAS-CNRSToulouse Cédex 4France

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