On spectral properties of multiparameter polynomial matrices

DOI10.1007/BF02355378zbMath0899.15005MaRDI QIDQ1376931

V. B. Khazanov

Publication date: 21 October 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

spectrumpolynomial matrixspectral characteristicsmultiparameter spectral problemspencilsgeometric multiplicitiesanalytic multiplicityJordan \(s\)-semilattices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

Related Items (5)

Balance relation for the spectral characteristics of a multiparameter polynomial matrix ⋮ Computation of Jordan semilattices of vectors of a multiparameter polynomial matrix ⋮ To solving problems of algebra for two-parameter matrices. I. ⋮ Methods for solving spectral problems for multiparameter matrix pencils ⋮ On generating eigenvectors of multiparameter polynomial matrices

Cites Work

• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Multiparameter spectral theory in Hilbert space
• Spectral problems for pencils of polynomial matrices. Methods and algorithms. V
• Multiparametric eigenvalue problems in inner-product spaces
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Computations of Holomorphic Multiparameter Eigenvalue Problems
• FOUNDATIONS OF ALGEBRAIC GEOMETRY
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