Reconstructing real symmetric matrices from eigenvalues of finite dimensional perturbations

DOI10.1080/17415977.2020.1731496zbMath1461.65055OpenAlexW3007746908MaRDI QIDQ4991521

Guangsheng Wei, Xuewen Wu, Peng Cheng Niu

Publication date: 3 June 2021

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2020.1731496

zbMATH Keywords

eigenvalueperturbationsymmetric matrixreconstruction

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Cites Work

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• Construction of acyclic matrices from spectral data
• The reconstruction of a symmetric matrix from the spectral data
• Inverse problems for Jacobi operators: I. Interior mass–spring perturbations in finite systems
• Inverse Eigenvalue Problem for a Modified Vibrating System
• Inverse eigenvalue problem: existence of special spring - mass systems
• Rank one perturbations of Jacobi matrices with mixed spectra