Inverse problems for Hermitian quadratic matrix polynomials

DOI10.1016/j.indag.2012.06.005zbMath1261.15019OpenAlexW1978669999MaRDI QIDQ692593

Christos Chorianopoulos, Peter Lancaster

Publication date: 6 December 2012

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2012.06.005

zbMATH Keywords

inverse problemnumerical exampleseigenvalue distributionquadratic eigenvalue problemHermitian quadratic matrix polynomialsmatrix polynomial factorization

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57) Matrices over function rings in one or more variables (15A54) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items (1)

An inverse problem for gyroscopic systems

Cites Work

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• Hermitian quadratic matrix polynomials: solvents and inverse problems
• Model-updating for self-adjoint quadratic eigenvalue problems
• Diagonalization of quadratic matrix polynomials
• Inertia characteristics of self-adjoint matrix polynomials
• Spectral analysis of selfadjoint matrix polynomials
• Partially specified matrices and operators: classification, completion, applications
• Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over
• On Inverse Quadratic Eigenvalue Problems with Partially Prescribed Eigenstructure
• Factorization of selfadjoint quadratic matrix polynomials with real spectrum
• Solutions of the Partially Described Inverse Quadratic Eigenvalue Problem

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