A numerical method for quadratic eigenvalue problems of gyroscopic systems

DOI10.1016/j.jsv.2007.05.009zbMath1242.70013OpenAlexW2091599869MaRDI QIDQ2897142

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Publication date: 8 July 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsv.2007.05.009

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (14)

Structure preserving eigenvalue embedding for undamped gyroscopic systems ⋮ The direct updating of damping and gyroscopic matrices ⋮ Refined isogeometric analysis of quadratic eigenvalue problems ⋮ Quadratic model updating with gyroscopic structure from partial eigendata ⋮ Weight splitting iteration methods to solve quadratic nonlinear matrix equation \(MY^2+NY+P=0\) ⋮ An iterative method for updating gyroscopic systems based on measured modal data ⋮ Computing the full spectrum of large sparse palindromic quadratic eigenvalue problems arising from surface Green's function calculations ⋮ An accelerated cyclic-reduction-based solvent method for solving quadratic eigenvalue problem of gyroscopic systems ⋮ A gradient based iterative algorithm for solving model updating problems of gyroscopic systems ⋮ Semi-definite programming techniques for structured quadratic inverse eigenvalue problems ⋮ A modified second-order Arnoldi method for solving the quadratic eigenvalue problems ⋮ A direct updating method for damped gyroscopic systems using measured modal data ⋮ An inverse problem for undamped gyroscopic systems ⋮ Backward errors for eigenvalues and eigenvectors of Hermitian, skew-Hermitian,H-even andH-odd matrix polynomials

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