On a class of inverse quadratic eigenvalue problem

DOI10.1016/j.cam.2010.11.017zbMath1209.15017OpenAlexW2022096529MaRDI QIDQ629538

Hua Dai, Yongxin Yuan

Publication date: 9 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.11.017

zbMATH Keywords

best approximationinverse eigenvalue problemquadratic eigenvalue problempartially prescribed spectral informationmonic quadratic pencil

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (13)

Solution of the symmetric band partial inverse eigenvalue problem for the damped mass spring system ⋮ Inverse eigenvalue problems for discrete gyroscopic systems ⋮ An efficient algorithm based on Lanczos type of BCR to solve constrained quadratic inverse eigenvalue problems ⋮ Solution of the linearly structured partial polynomial inverse eigenvalue problem ⋮ A gradient based iterative algorithm for solving structural dynamics model updating problems ⋮ An efficient iterative updating method for hysteretic damping models ⋮ An inverse eigenvalue problem for Hamiltonian matrices ⋮ A direct method for the simultaneous updating of finite element mass, damping and stiffness matrices ⋮ Updating undamped structural models using displacement output feedback ⋮ An inverse quadratic eigenvalue problem for damped gyroscopic systems ⋮ A quadratic inverse eigenvalue problem in damped structural model updating ⋮ Analytical dynamic model modification using acceleration and displacement feedback ⋮ Quadratic model updating for damped gyroscopic systems

Cites Work

• Unnamed Item
• Inertia characteristics of self-adjoint matrix polynomials
• The Quadratic Eigenvalue Problem
• Symmetry preserving eigenvalue embedding in finite-element model updating of vibrating structures
• Nonequivalence transformation of?-matrix eigenproblems and model embedding approach to model tuning
• Some Metric Inequalities in the Space of Matrices

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