The Centrosymmetric Matrices of Constrained Inverse Eigenproblem and Optimal Approximation Problem

In this paper, a kind of constrained inverse eigenproblem and optimal approximation problem for centrosymmetric matrices are considered. Necessary and sufficient conditions of the solvability for the constrained inverse eigenproblem of centrosymmetric matrices in real number field are derived. A gen...

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Bibliographic Details
Published in:Mathematical problems in engineering 2020, Vol.2020 (2020), p.1-8
Main Authors: Peng, Xiangyang, Wang, Baiyu, Liu, Wei, Shen, Jinrong
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Control theory
Decomposition
Eigenvalues
Mathematical analysis
Number theory
Numerical analysis
Partial differential equations
System theory
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Summary:In this paper, a kind of constrained inverse eigenproblem and optimal approximation problem for centrosymmetric matrices are considered. Necessary and sufficient conditions of the solvability for the constrained inverse eigenproblem of centrosymmetric matrices in real number field are derived. A general representation of the solution is presented for a solvable case. The explicit expression of the optimal approximation problem is provided. Finally, a numerical example is given to illustrate the effectiveness of the method.
ISSN:1024-123X
1563-5147
DOI:10.1155/2020/4590354