平移多项式的判别序列  

A DISCRIMINATION SEQUENCE FOR TRANSLATIONAL POLYNOMIALS

作　　者：陈旻[1] 

机构地区：[1]宁波大学理学院数学系,宁波315211

出　　处：《系统科学与数学》2010年第1期107-113,共7页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10571095)资助课题

摘　　要：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.

关 键 词：多项式判别序列 平移多项式 BEZOUT矩阵 符号计算. 

分 类 号：O174.14[理学—数学] TU746.4[理学—基础数学]