用广义特征矩阵计算若当链

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 58-62.

用广义特征矩阵计算若当链

Department of Basic Courses, Liuzhou Vocational Institute of Technology

收稿日期:2005-11-17 出版日期:2009-03-30 发布日期:2023-09-06
作者简介: LI Da-lin(1968-), male, native of Yulin, Guangxi, M.S.D., an associate professor of Liuzhou Vocational Institute of Technology, engages in matrix theory.
基金资助:
Supported by the Science Foundation of Liuzhou Vocational Institute of Technology(2007C03)；

Computation of Jordan Chains by Generalized Characteristic Matrices

Department of Basic Courses, Liuzhou Vocational Institute of Technology

Received:2005-11-17 Online:2009-03-30 Published:2023-09-06
About author: LI Da-lin(1968-), male, native of Yulin, Guangxi, M.S.D., an associate professor of Liuzhou Vocational Institute of Technology, engages in matrix theory.
Supported by:
Supported by the Science Foundation of Liuzhou Vocational Institute of Technology(2007C03)；

摘要/Abstract

摘要： In this paper, we introduce a method to define generalized characteristic matrices of a defective matrix by the common form of Jordan chains. The generalized characteristic matrices can be obtained by solving a system of linear equations and they can be used to compute Jordan basis.

关键词: Jordan canonical form, Jordan chain, generalized characteristic matrix, characteristic polynomial

Abstract: In this paper, we introduce a method to define generalized characteristic matrices of a defective matrix by the common form of Jordan chains. The generalized characteristic matrices can be obtained by solving a system of linear equations and they can be used to compute Jordan basis.

Key words: Jordan canonical form, Jordan chain, generalized characteristic matrix, characteristic polynomial

中图分类号:

O151.21

李大林. 用广义特征矩阵计算若当链[J]. 数学季刊, 2009, 24(1): 58-62.

LI Da-lin. Computation of Jordan Chains by Generalized Characteristic Matrices [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 58-62.

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