用若当链构成分块矩阵计算若当标准形与相似变换矩阵

摘要

By elementary transformations, a Jordan basis is got with a block matrix which is formed by the Jordan chains generated by every vector in a basis of the generalized eigensubspace of a defective matrix in complex field. A new arithmetic is given to compute the Jordan canonical form and transition matrix.%复数域上亏损矩阵的广义特征子空间的基的每个向量生成若当链,构成分块矩阵,施以初等变换,可求出若当基.获得若当标准形与相似变换矩阵的新算法.