Isospectral vibrating systems. I: The spectral method

DOI10.1016/j.laa.2005.01.029zbMath1079.15011OpenAlexW2154915620MaRDI QIDQ2568983

Peter Lancaster

Publication date: 17 October 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.01.029

zbMATH Keywords

inverse problemspectral theoryinverse spectral problemslinear dampinglinear vibrations

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18) Systems arising from the discretization of structural vibration problems (70J50)

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Spectral equivalence of matrix polynomials and the index sum theorem ⋮ Quadratic model updating with no spill-over and incomplete measured data: Existence and computation of solution ⋮ Spectral decomposition of real symmetric quadratic $\lambda $-matrices and its applications ⋮ Partial derivatives of the eigen-triplet of the quadratic eigenvalue problem depending on several parameters ⋮ Solutions to a quadratic inverse eigenvalue problem ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach

Cites Work

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• Matrices and indefinite scalar products
• Inertia characteristics of self-adjoint matrix polynomials
• Selective perturbation of spectral properties of vibrating systems using feedback
• Spectral analysis of selfadjoint matrix polynomials
• Robust Eigenstructure Assignment in Quadratic Matrix Polynomials: Nonsingular Case
• Inverse problems for damped vibrating systems
• J-Orthogonal Matrices: Properties and Generation

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