摘要
首先证明了n级非奇异g 循环矩阵必定可以对角化 ,并且给出了它的谱分解 .其次 ,当 (n ,g) =1时 ,给出了n级奇异g 循环矩阵相似于某些对角阵和某些幂零Jordan块的直和 。
The eigenstructure of g-circulant matrices are studied. Firstly, the nonsingular g-circulant matrices are similar to diagnal matrices. The spectral decomposition is given. Secondly, the singular g-circulant matrices are similar to the direct sum of some diagnal matrices and some nilpotency of Jordan blocks when (n,g)=1. Further, the nilpotency index of Jordan block is defined.
出处
《宁波大学学报（理工版）》
CAS
2002年第3期10-12,共3页
Journal of Ningbo University：Natural Science and Engineering Edition
