Gyroscopically Stabilized Systems: A Class Of Quadratic Eigenvalue Problems With Real Spectrum

DOI10.4153/CJM-1992-002-2zbMath0785.47010OpenAlexW2329130862MaRDI QIDQ4022847

Peter Lancaster, Lawrence Barkwell, Alexander Markus

Publication date: 17 January 1993

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1992-002-2

zbMATH Keywords

eigenvaluesselfadjoint quadratic operator polynomials

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrix pencils (15A22)

Related Items (17)

Rayleigh-Ritz and Lanczos methods for symmetric matrix pencils ⋮ Finite-Dimensional Indefinite Inner Product Spaces and Applications in Numerical Analysis ⋮ Algorithms for hyperbolic quadratic eigenvalue problems ⋮ On the Stability of Rotating Systems ⋮ Hermitian matrix polynomials with real eigenvalues of definite type. I: Classification ⋮ A wider class of stable gyroscopic systems ⋮ Finite Element Approximation for the Sturm-Liouville Problem with Quadratic Eigenvalue Parameter ⋮ Stabilization of Gyroscopic Systems ⋮ Stability of linear gyroscopic systems: a review ⋮ Numerical algorithms for undamped gyroscopic systems ⋮ Stabilization of Gyroscopic Systems ⋮ Deflating quadratic matrix polynomials with structure preserving transformations ⋮ On a class of alternating coefficient matrices quadratic eigenvalue problem ⋮ A modified second-order Arnoldi method for solving the quadratic eigenvalue problems ⋮ Definite triples of Hermitian matrices and matrix polynomials ⋮ Low rank perturbations of strongly definitizable transformations and matrix polynomials ⋮ Linear and numerical linear algebra in control theory: Some research problems

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