An Inverse Eigenvalue Problem for the Symmetric Tridiagonal Quadratic Pencil with Application to Damped Oscillatory Systems

DOI10.1137/S0036139994267006zbMath0853.15005MaRDI QIDQ4875482

Yitshak M. Ram, Sylvan Elhay

Publication date: 6 January 1997

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesinverse eigenvalue problemdamped vibrationsdamped oscillatory systemssymmetric tridiagonal quadratic pencil

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Modal analysis in linear vibration theory (70J10) Linear vibration theory (70J99) Matrix pencils (15A22)

Related Items (9)

Solution of the symmetric band partial inverse eigenvalue problem for the damped mass spring system ⋮ Solution of the linearly structured partial polynomial inverse eigenvalue problem ⋮ A solution of the affine quadratic inverse eigenvalue problem ⋮ Constructing the physical parameters of a damped vibrating system from eigendata ⋮ General Solutions for a Class of Inverse Quadratic Eigenvalue Problems ⋮ Semi-definite programming techniques for structured quadratic inverse eigenvalue problems ⋮ On an inverse spectral problem for a quadratic Jacobi matrix pencil ⋮ An inverse eigenvalue problem in symmetric sparse quadratic model updating ⋮ A new updating method for the damped mass-spring systems

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