多项式环商环的一个对偶空间的基的一个显式表示

An explicit express of the basis in the dual linear space by the linear space of the quotient ring of the polynomials ring

讨论了多项式环及其商环表示的线性空间的一个对偶空间 在将非线性代数方程组的求解转化为线性代数中矩阵的特征值与特征向量的计算时 ,该对偶空间中的线性变换矩阵的特性起着关键性的作用 作者对其特性进行了较深入的研究 。

The characteristic, of the linear transformation matrix in the dual linear space by the linear space of the quotient ring of the polynomials ring, is playing a key role in the method by transforms solving nonlinear polynomials system to eigenvalues and eigenvectors computing of matrix in linear algebra. So, it is very important that one researches it. In this paper, the author discussed such a dual linear space, gave a explicit express of it's basis.