Title
Left and right inverse eigenpairs problem of generalized centrosymmetric matrices and its optimal approximation problem
Abstract
In this paper, the left and right inverse eigenpairs problem for generalized centrosymmetric matrices is considered. We obtain the necessary and sufficient conditions for the solvability of the problem, and we present the general expression of the solution. The related optimal approximation problem to a given matrix over the solution set is solved. In addition, a numerical algorithm and examples to solve the problem are given.
Year
DOI
Venue
2009
10.1016/j.amc.2009.02.035
Applied Mathematics and Computation
Keywords
Field
DocType
optimal approximation,generalized centrosymmetric matrices,left and right inverse eigenpairs
Inverse,Mathematical optimization,Matrix (mathematics),Left and right,Solution set,Inverse problem,Numerical analysis,Mathematics
Journal
Volume
Issue
ISSN
212
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
4
0.52
6
Authors
3
Name
Order
Citations
PageRank
Fan-Liang Li1202.85
Xiyan Hu212125.32
Lei Zhang3688.33