广义Sylvester矩阵与循环分块矩阵

GENERALIZED SYLVESTER MARICES AND BLOCK CIRCULANT MATRICES

讨论了两个多项式矩阵右互质时其广义Sylvester矩阵的性质,指出了广义Sylvester矩阵与R-循环分块矩阵的联系,得到了R-循环分块矩阵可逆时的充要条件。

The properties of the generalized sylvester matrix are discussed when two polynomial matrices are right coprime. The relations between an R -block circulant matrix and a suitable generalized Sylvester matrix are presented. The necessary and sufficient condition for R - block circulant matrix invertible is obtained.