单变元多项式正定性的一种判定方法

A Method to Verify the Polynomial Positive Definiteness

本文利用斯图姆定理对参系数单变元多项式的实根个数加以判定,进一步给出了一种判定单变元多项式正定性的方法,并利用Maple软件编程实现了常系数情形下多项式正定性的自动判定。

On the base of Sturm theorem, the article talks about the verification of the numbers for real roots, and further expounds a certain method to verify the polynomial positive definiteness. And the paper also suggests that Maple software program is used to verify it automatically with the constant coefficient.