Eigenvalue inverse the problem with generalized arrow matrices with linear relations

The inverse problem of eigenvalues of matrices is nowadays a popular topic in numerical algebra and is widely used in mathematical physics inverse problems. This paper studies the eigenvalue inverse of generalized arrow matrices with linear relations, in which the concept of an eigenpair is used and...

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Bibliographic Details
Published in:Journal of physics. Conference series Vol. 2964; no. 1; pp. 12061 - 12067
Main Authors: Huang, Yi, Wang, Yiyi, Li, Zhibin
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.02.2025
Subjects:
Algorithms
Eigenvalues
Inverse problems
Matrices (mathematics)
Matrix algebra
ISSN:1742-6588, 1742-6596
Online Access:Get full text
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Summary:The inverse problem of eigenvalues of matrices is nowadays a popular topic in numerical algebra and is widely used in mathematical physics inverse problems. This paper studies the eigenvalue inverse of generalized arrow matrices with linear relations, in which the concept of an eigenpair is used and the existence and unambiguousness of the solution of the equation generated by the problem are shown. Recursive expressions are given according to the laws. The validity of the algorithm will be verified with exact conditions. Finally, the conclusion is drawn.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2964/1/012061