Paper Info
Title
Inverse eigenvalue problems for skew-Hermitian reflexive and anti-reflexive matrices and their optimal approximations
Abstract
In this paper, the inverse eigenvalue problems for skew-Hermitian reflexive and anti-reflexive matrices and their associated optimal approximation problems which are constrained by their partially prescribed eigenpairs are considered, respectively. First, the necessary and sufficient conditions of the solvability for the inverse eigenvalue problems of skew-Hermitian reflexive and anti-reflexive matrices are both derived, and the general solutions are also presented. Then the solutions of the corresponding optimal approximation problems in the Frobenius norm to a given matrix are also given, respectively. Furthermore, we give the algorithms to compute the optimal approximate skew-Hermitian reflexive and anti-reflexive solutions and present some illustrative numerical examples.
Year
DOI
Venue
2020
10.1007/s40314-020-01208-5
Computational and Applied Mathematics
Keywords
DocType
Volume
Inverse eigenvalue problem, Optimal approximation problem, Skew-Hermitian reflexive matrix, Skew-Hermitian anti-reflexive matrix, 65F18, 15A51, 15A18, 15A12
Journal
39
Issue
ISSN
Citations 
3
2238-3603
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Wei-Ru Xu100.34
Guoliang Chen230546.48