摘要
本文从(A,B)特征子空间出发建立了(A,B)根子空间的新概念。证明了任意一个(A,B)不变子空间一定能分解成一些根子空间的直和。讨论了这种分解的唯一性问题。而且应用这些结论给出了允许配置的特征结构的充分必要条件。
In this paper, a new concept called (A, B) radical subspace is presentecd and is studied basing upon the (A, B) characteristic subspaces. It is proved that the (A, B) invariant subspaces can be always decomposed into a direct-sum form of some radical subspaces. The problem of uniqueness is also dea It with and sufficient and necessary conditions for admissible eigenstructure are given via decomposition.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1991年第2期159-168,共10页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
