平移多项式的判别序列

A DISCRIMINATION SEQUENCE FOR TRANSLATIONAL POLYNOMIALS

研究平移多项式的判别序列的性质,并给出平移多项式的正根判别序列的显式表达式.

Discrimination system for a polynomial is a set of explicit expressions in terms of the coefficients, which is sufficient for determining the numbers and multiplicities of the real and imaginary roots. A discrimination sequence for a translational polynomial is given： the polynomial discriminant system being invariant, while the positive roots ones not. An explicit expression for positive roots discriminant sequence of polynomials under translation is obtained. It can be obtained by using Bezout matrix.