一类循环分块矩阵的一些结果

SOME RESULTS ON A CLASS OF BLOCK CIRCULANT MATRICES

引进了Ｒ－循环分块矩阵的概念，讨论了它的一般性质．特别，当Ｒ＝Ｉｎ时，得到了其块谱分解定理、矩阵范数意义下的圆盘定理以及非奇异的几个充分条件．

A concept of R-block circulant matices is introduced and some basic properties of it are discussed.For the case R = I., a block spectrum decomposition theorem, a disc theorem in matrix norm and some sufficientconditions for these matrices to be non ingular are obtained.