Spectral properties of lambda-matrices

DOI10.1007/BF01230274zbMath0527.15013OpenAlexW1976418274MaRDI QIDQ595736

V. B. Khazanov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01230274

zbMATH Keywords

factorizationminimal indiceselementary divisorspectral structureJordan chainpencilpolynomial solutionlambda-matrixSmith canonical form

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Cites Work

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• Spectral analysis of matrix polynomials. I. Canonical forms and divisors
• Über Lancasters Zerlegung von Matrizen - Scharen
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• A Jordan Factorization Theorem for Polynomial Matrices
• $Ax = \lambda Bx$ and the Generalized Eigenproblem
• Zur Theorie der λ-Matrizen

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