摘要
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.
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.
出处
《大学数学》
2012年第2期54-58,共5页
College Mathematics
基金
广西教育厅科研项目(201106LX751)
关键词
若当标准形
亏损矩阵
相似变换矩阵
若当链
初等变换
Jordan canonical form
defective matrix
transition matrix
Jordan chain
elementary transformation
