Hermitian quadratic matrix polynomials: solvents and inverse problems

DOI10.1016/j.laa.2010.06.047zbMath1260.15037OpenAlexW2145297230MaRDI QIDQ414682

Peter Lancaster, Françoise Tisseur

Publication date: 11 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.06.047

zbMATH Keywords

inverse problemquadratic eigenvalue problemsign characteristiceigenvalue typeHermitian quadratic matrix polynomialsolventvibrating systems

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Matrices over function rings in one or more variables (15A54) Systems arising from the discretization of structural vibration problems (70J50)

Related Items (6)

THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM ⋮ Prime decomposition of quadratic matrix polynomials ⋮ An Efficient Block Rational Krylov Solver for Sylvester Equations with Adaptive Pole Selection ⋮ An inverse problem for gyroscopic systems ⋮ On the inverse eigenvalue problem for \(T\)-alternating and \(T\)-palindromic matrix polynomials ⋮ Inverse problems for Hermitian quadratic matrix polynomials

Cites Work

• Hermitian matrix polynomials with real eigenvalues of definite type. I: Classification
• Inverse eigenvalue problems for damped vibrating systems
• Inverse problems for damped vibrating systems
• A Review of Canonical Forms for Selfadjoint Matrix Polynomials
• Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
• Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems
• Algorithms for hyperbolic quadratic eigenvalue problems
• Matrix Polynomials

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