摘要
利用线性空间Ｃｎ×１的直和分解理论给出若当定理的一个构造性证明方法．该证法是简单的，其证明过程还指明了对任何一个方阵Ａ，如何通过解齐次线性方程组求变换矩阵Ｐ。
In this paper, a structured proof method of Jordan theorem is given by using the theory of direct sum decomposition in linear space Cn×1 The proof is simple. And it points out how to find a transformation matrix P for any matrix A∈Cn×n by solving homogeneous linear equations such that P-1AP is a Jordan canonical form.
关键词
不变子空间
根子空间
若当子空间
若当定理
invariant subspace root subspace Jordan subspace Jordan block matrix Jordan matrix
