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Structured Eigenvalue Perturbation Theory
2015We give an overview of Volker Mehrmann’s work on structured perturbation theory of eigenvalues. In particular, we review his contributions on perturbations of structured pencils arising in control theory and of Hamiltonian matrices. We also give a brief outline of his work on structured rank one perturbations.
Shreemayee Bora, Michael Karow
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On perturbation of a multiple eigenvalue
Russian Mathematical Surveys, 2005V. A. Titov, S. A. Stepin
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Singular perturbation of eigenvalues [PDF]
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Singular perturbations of eigenvalue problems
Archive for Rational Mechanics and Analysis, 1961W. A. Harris, W. A. Harris
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Perturbation of linked eigenvalue problems
Nonlinear Analysis: Theory, Methods & Applications, 1983openaire +2 more sources
Eigenvalues and eigenvectors of a perturbed operator
Journal of Soviet Mathematics, 1992openaire +2 more sources