Strongly Damped Quadratic Matrix Polynomials

DOI10.1137/140959390zbMath1320.15007OpenAlexW2083334282MaRDI QIDQ5254387

Leo Taslaman

Publication date: 9 June 2015

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140959390

zbMATH Keywords

viscous dampingquadratic eigenvalue problemmatrix polynomialvibrating systemprincipal anglescanonical anglesdiscrete damper

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) Matrices over function rings in one or more variables (15A54) Systems arising from the discretization of structural vibration problems (70J50) Matrix pencils (15A22) Free motions in linear vibration theory (70J30)

Related Items

Backward error analysis of linearizing-balancing strategies for heavily damped quadratic eigenvalue problem, Linear Algebra Properties of Dissipative Hamiltonian Descriptor Systems, On the conditioning for heavily damped quadratic eigenvalue problem solved by linearizations, An Algorithm for Quadratic Eigenproblems with Low Rank Damping

Uses Software

• NLEVP

Cites Work

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• NLEVP
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