摘要
将向量空间视为由线性变换导出的多项式环上模,利用主理想环上有限生成模的性质给出了不变子空间的一种直和分解方法,并得到了该线性变换在这个不变子空间一组基下的矩阵准对角化方法,介绍了其在可控子空间分解上的应用.
A vector space over a number field can be associated with a module over the polynomial ring, relative to a given non-zero linear transformation. By means of the properties of generated module over a principal ideal domain, a method of direct decomposition of invariant subspace fomation relative to a basis for the invariant subspace is introduced subspace is presented. The quasi-diagonal algorithm on matrix of the transis deduced. An application on the decomposition of controllability
出处
《南阳师范学院学报》
CAS
2006年第3期19-21,41,共4页
Journal of Nanyang Normal University
基金
湖北省教育厅资助项目(2002X59)
关键词
不变子空间
有限生成模
直和分解
invariant subspace
generated module
direct decomposition
