A Review of Canonical Forms for Selfadjoint Matrix Polynomials

DOI10.1007/978-3-0348-0221-5_19zbMath1252.15011OpenAlexW2154241941MaRDI QIDQ2915204

Zaballa, I., Peter Lancaster

Publication date: 21 September 2012

Published in: A Panorama of Modern Operator Theory and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0221-5_19

zbMATH Keywords

matrix polynomialscanonical formcomplex Hermitian systemsJordan pairs and triplesreal symmetric systems

Mathematics Subject Classification ID

Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (4)

Unnamed Item ⋮ Hermitian quadratic matrix polynomials: solvents and inverse problems ⋮ Standard triples of structured matrix polynomials ⋮ Balanced Truncation Model Reduction for Symmetric Second Order Systems---A Passivity-Based Approach

Cites Work

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• Matrices and indefinite scalar products
• Spectral analysis of selfadjoint matrix polynomials
• Spectral decomposition of real symmetric quadratic $\lambda $-matrices and its applications
• Isospectral families of high-order systems
• Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over
• A sign characteristic for selfadjoint meromorphic matrix functions
• Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence
• Inverse Spectral Problems for Semisimple Damped Vibrating Systems

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