On spectral properties of multiparameter polynomial matrices
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Publication:1376931
DOI10.1007/BF02355378zbMath0899.15005MaRDI QIDQ1376931
Publication date: 21 October 1998
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
spectrumpolynomial matrixspectral characteristicsmultiparameter spectral problemspencilsgeometric multiplicitiesanalytic multiplicityJordan \(s\)-semilattices
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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