结式矩阵R(f,g)与Bezout矩阵Bez(f,g)矩阵的几个新性质

Several New Properties of the Resultant Matrix R(f,g) and Bez(f,g)

利用Bezout矩阵、结式矩阵与Hankel矩阵的分解得到了它们的几个新性质,给出了多项式互素的矩阵描述,为处理多项式问题提供了一种新方法。

Using the decompositions of Bezout matrix, resultant matrix and Hankel matrix, the authors get several new properties of these matrices above, which give the matrix expressin of coprime polynomials and supply a new method in dealing with polynomial problems.