Finite-dimensional multiparameter spectral theory: The nonderogatory case

DOI10.1016/0024-3795(94)90396-4zbMath0816.15008OpenAlexW2013419029MaRDI QIDQ1344052

Tomasž Košir

Publication date: 20 July 1995

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90396-4

zbMATH Keywords

algorithmtensor product spacelinear transformationsroot subspacemultiparameter systemnonderogatory eigenvalues

Mathematics Subject Classification ID

Related Items (16)

Bounds for the spectrum of a two parameter matrix eigenvalue problem ⋮ On stability of invariant subspaces of commuting matrices ⋮ On the structure of commutative matrices. II ⋮ Conservation of the number of the eigenvalues of two-parameter matrix problems in bounded domains under perturbations ⋮ A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system ⋮ A note on the approximation of two-sided Rayleigh quotient to eigenvalues ⋮ Asymptotic behaviour of the non-real pair-eigenvalues of a two parameter eigenvalue problem ⋮ Backward error, condition numbers, and pseudospectra for the multiparameter eigenvalue problem. ⋮ An algebraic approach to multiparameter spectral theory ⋮ Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems ⋮ Numerical methods for solving multiparameter eigenvalue problems ⋮ A Homotopy Method for Finding All Solutions of a Multiparameter Eigenvalue Problem ⋮ Root vectors for geometrically simple two-parameter eigenvalues ⋮ Kronecker bases for linear matrix equations, with application to two-parameter eigenvalue problems ⋮ Nonlinearizing Two-parameter Eigenvalue Problems ⋮ Linearizable Eigenvector Nonlinearities

Cites Work

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• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Two parameter eigenvalue problems for matrices
• Multiparameter eigenvalue problems and expansion theorems
• On the structure of commutative matrices
• Elliptic multiparameter eigenvalue problems
• Multiparameter root vectors
• Multiparameter spectral theory

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