The Centrosymmetric Matrices of Constrained Inverse Eigenproblem and Optimal Approximation Problem
Joint Authors
Shen, Jinrong
Liu, Wei
Wang, Baiyu
Peng, Xiangyang
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-03-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Shen, Jinrong& Liu, Wei& Wang, Baiyu& Peng, Xiangyang. 2020. The Centrosymmetric Matrices of Constrained Inverse Eigenproblem and Optimal Approximation Problem. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1195271
Modern Language Association (MLA)
Shen, Jinrong…[et al.]. The Centrosymmetric Matrices of Constrained Inverse Eigenproblem and Optimal Approximation Problem. Mathematical Problems in Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1195271
American Medical Association (AMA)
Shen, Jinrong& Liu, Wei& Wang, Baiyu& Peng, Xiangyang. The Centrosymmetric Matrices of Constrained Inverse Eigenproblem and Optimal Approximation Problem. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1195271
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195271
