Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (1): 58-62.

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Computation of Jordan Chains by Generalized Characteristic Matrices 

  

  1. 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);

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

CLC Number: