Spectral perturbation by rank m matrices

DOI10.7153/oam-2023-17-58arXiv2306.10253OpenAlexW4387716655MaRDI QIDQ6122905

Federico W. Pasini, Mináč, Ján, Jonathan Lee Merzel, Tung T. Nguyen

Publication date: 4 March 2024

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.10253

zbMATH Keywords

eigenspectramatrix theoryrank-\(m\) perturbation

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55)

Cites Work

• Eigenvalues of rank one perturbations of unstructured matrices
• Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations
• The largest eigenvalue of small rank perturbations of Hermitian random matrices
• Changing the spectrum of an operator by perturbation
• Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
• Robust pole assignment in linear state feedback
• Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
• Low Rank Perturbations of Quaternion Matrices

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