The effect of finite rank perturbations on Jordan chains of linear operators

Author:

Behrndt Jussi,Leben Leslie,Martínez Pería Francisco,Trunk Carsten

Funder

Austrian Science Fund

Carl-Zeiss-Stiftung

CONICET

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference10 articles.

1. The change of the Jordan structure under one row perturbations;Beitia;Linear Algebra Appl.,2005

2. First order eigenvalue perturbation theory and the Newton diagram;Dopico,2002

3. Low rank perturbation of Jordan structure;Dopico;SIAM J. Matrix Anal. Appl.,2003

4. A remark on perturbations of compact operators;Hörmander;Math. Scand.,1994

5. Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations;Mehl;Linear Algebra Appl.,2011

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1. Direct and Inverse Spectral Problems for Rank-One Perturbations of Self-adjoint Operators;Integral Equations and Operator Theory;2021-04

2. Finite Rank Perturbations of Linear Relations and Matrix Pencils;Complex Analysis and Operator Theory;2021-02-22

3. Spectra of rank-one perturbations of self-adjoint operators;Linear Algebra and its Applications;2021-01

4. Spectra of $\mathcal{PT}$-symmetric operators under rank-one perturbations;Journal of Physics A: Mathematical and Theoretical;2020-08-25

5. Eigenvalue Placement for Regular Matrix Pencils with Rank One Perturbations;SIAM Journal on Matrix Analysis and Applications;2017-01

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