Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (6): 1542-1553.

• Articles • Previous Articles     Next Articles

Left and Right Inverse Eigenpairs Problem on Disk of Reflexive Matrices

 LI Ding-Wu1, LIU Wei1,2, SHEN Jin-Rong1, XIONG Hui-Jun1   

  1. 1.Department of Mathematics and Information Science, Changsha University, Changsha 410022;
    2.College of Mathematics and Econometrics, Hunan University, Changsha 410012
  • Received:2013-05-03 Revised:2014-07-12 Online:2014-12-25 Published:2014-12-25

Abstract:

In this paper, the left and right inverse eigenpairs problem and associated approximation problem on the given disk of
eigenvalues of reflexive matrices are studied. Under special conditions, the general solutions of the left and right inverse
eigenpairs problem are presented, and the expression of the solution for the optimal approximation problem is obtained.

Key words: Left and right inverse eigenvalue, Disk,  Reflexive matrix, Frobenius norm

CLC Number: 

  • 15A29
Trendmd