A numerical algorithm for computing a basis for the root subspace at a nonderogatory eigenvalue of a multiparameter system

DOI10.1016/S0024-3795(98)10154-4zbMath0936.65041MaRDI QIDQ1124783

Bor Plestenjak

Publication date: 28 November 1999

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

zbMATH Keywords

algorithmnumerical examplessingular value decompositionperturbation analysistensor productroot subspacemultiparameter systemnonderogatory eigenvalue

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (3)

On stability of invariant subspaces of commuting matrices ⋮ Sensitivity and Backward Perturbation Analysis of Multiparameter Eigenvalue Problems ⋮ Root vectors for geometrically simple two-parameter eigenvalues

Cites Work

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• Numerical Solution of Multiparameter Eigenvalue Problems
• Multiparameter root vectors
• A Two-Dimensional Bisection Method for Solving Two-Parameter Eigenvalue Problems
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• A Numerical Method for the Solution of the Double Eigenvalue Problem
• A Numerical Technique for Multiparameter Eigenvalue Problems
• Multiparameter spectral theory

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