广西科学2013，Vol.20Issue(1)：27-30,4.
一种用广义特征矩阵计算若当基的方法
Computation of Jordan Bases by Generalized Eigenmatrices
摘要
Abstract
A new algorithm is given to compute the transition matrix to transform the defective matrix into Jordan canonical form. The basic information that are easily obtained,such as the eigenvalues and their algebraic multiplicities,are used to generalize matrices, where their non-trivial column vectors are eigenvectors or generalized eigenvectors. They constitute a block matrix, from which all information of Jordan canonical form can be obtained by means of column elementary transformations.关键词
亏损矩阵/相似变换矩阵/广义特征矩阵/若当标准形/若当链Key words
defective matrix,similarity transition matrix,generalized eigenmatrix,Jordan canonical form,Jordan chain分类
数理科学引用本文复制引用
李大林,黄小玉..一种用广义特征矩阵计算若当基的方法[J].广西科学,2013,20(1):27-30,4.基金项目
广西教育厅科研项目(201106LX751)资助. （201106LX751）
