论文标题
矩阵多项式等级之间的关系
Relations between ranks of matrix polynomials
论文作者
论文摘要
我们表明，两个矩阵多项式的等级总和与通过应用多项式最大的公共分裂获得的矩阵等级的总和相同，而多项式矩阵的等级则通过应用多项式多项式的最低共同倍数获得。 Many applications, for older or more recent problems, of this result are obtained.
We show that the sum of ranks of two matrix polynomials is the same as the sum of the rank of the matrix obtained by applying the greatest common divisor of the polynomials, with the rank of the matrix obtained by applying the lowest common multiple of the polynomials. Many applications, for older or more recent problems, of this result are obtained.
