Kronecker bases for linear matrix equations, with application to two-parameter eigenvalue problems

DOI10.1016/0024-3795(95)00361-4zbMath0877.15016OpenAlexW2002862998MaRDI QIDQ2564913

Tomasž Košir

Publication date: 12 November 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00361-4

zbMATH Keywords

matrix pencillinear matrix equationsKronecker canonical formstwo-parameter eigenvalue problems

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (7)

On the singular two-parameter eigenvalue problem. II ⋮ A method for computing all values \({\lambda}\) such that \(A + {\lambda}B\) has a multiple eigenvalue ⋮ Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems ⋮ Geometric aspects of multiparameter spectral theory ⋮ Solvability and uniqueness criteria for generalized Sylvester-type equations ⋮ Perturbation, extraction and refinement of invariant pairs for matrix polynomials ⋮ Numerical methods for solving multiparameter eigenvalue problems

Cites Work

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• Multiparameter root vectors
• Methods for the solution ofAXD−BXC=E and its application in the numerical solution of implicit ordinary differential equations
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• Second Root Vectors for Multiparameter Eigenvalue Problems of Fredholm Type
• INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ GROUP
• Sur la réduction canonique des couples de matrices

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