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.

 
  • 其次 ,當 (n ,g) =1時(shí) ,給出了n級奇異g 循環(huán)矩陣相似于某些對角陣和某些冪零Jordan塊的直和 ,進(jìn)一步給出了其中冪零Jordan塊的冪零指數的計算法
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