On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencils.

DOI10.1016/S0024-3795(03)00581-0zbMath1033.15006MaRDI QIDQ1414157

Hua Dai, Hui-Qing Xie

Publication date: 19 November 2003

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

zbMATH Keywords

sensitivity analysiseigenvector matrixnonsymmetric matrix pencilssemisimple multiple eigenvalue

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

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The generalized Levinger transformation ⋮ Calculation of eigenpair derivatives for asymmetric damped systems with distinct and repeated eigenvalues ⋮ A note on simple nonzero finite generalized singular values ⋮ Perturbation analysis on matrix pencils for two specified eigenpairs of a semisimple eigenvalue with multiplicity two ⋮ On condition numbers of a nondefective multiple eigenvalue of a nonsymmetric matrix pencil ⋮ Sensitivity analysis for the generalized singular value decomposition ⋮ Eigensensitivity of symmetric damped systems with repeated eigenvalues by generalized inverse ⋮ Milling bifurcations from structural asymmetry and nonlinear regeneration ⋮ Computing the common zeros of two bivariate functions via Bézout resultants ⋮ Sensitivity analysis of semi-simple eigenvalues of regular quadratic eigenvalue problems

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