minimal polynomial

This paper presents a solution to the problem of the shortest linear recurrence of two sequences over an integral domain and describes the recurrence of the minimal polynomial.

本文解决了整环上两条序列的最短线性递归问题，并给出了递归极小多项式的方法。

Finally, we present an efficient algorithm for computing the minimal polynomial of a polynomial matrix. It determines the coefficient polynomials term by term from lower to higher degree.

最后，我们给出了一种计算多项式矩阵最小多项式或特征多项式的有效算法，它从低次项到高次项逐项确定最小多项式的系数多项式。

Jordan Canonical Form and the Minimal polynomial of Matrix

Jordan标准形与矩阵最小多项式

Algorithms for the minimal polynomial and the inverse of a given block circulant matrix over a group algebra of a finite group over a field are presented, and a method of determining singularity of this block circulant matrix is given.

·给出了求域上有限群的群代数上的块循环矩阵的极小多项式的算法，西安电子科技大学博士学位论文：多项式代数及其应用奇异性判别法及其逆矩阵的求法。