Polynomials with all zeros real and in a prescribed interval

被引：6
|
作者：
Lasserre, JB [1 ]
机构：
[1] CNRS, LAAS, F-31077 Toulouse 4, France
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2002年 / 16卷 / 03期
关键词：
algebraic combinatorics; real algebraic geometry; the K-moment problem;
D O I：
10.1023/A:1021848304877
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：231 / 237
页数：7
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