The number of distinct eigenvalues of a regular pencil and of a square matrix after rank perturbation

DOI10.1016/j.laa.2019.11.022OpenAlexW2989660801WikidataQ126804536 ScholiaQ126804536MaRDI QIDQ2174434

Itziar Baragaña

Publication date: 21 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.laa.2019.11.022

zbMATH Keywords

regular matrix pencilrank perturbationmatrix spectral perturbation theory

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Matrix pencils (15A22)

Related Items (2)

Lower and upper bounds for the number of distinct eigenvalues of a perturbed regular matrix pencil ⋮ On a formula of Thompson and McEnteggert for the adjugate matrix

Cites Work

• Unnamed Item
• Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations
• The spectrum of a modified linear pencil
• Eigenvalues and Jordan canonical form of a successively rank-one updated complex matrix with applications to Google's PageRank problem
• Generic rank-one perturbations of structured regular matrix pencils
• An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation
• On the change in the spectral properties of a matrix under perturbations of sufficiently low rank
• The Number of Distinct Eigenvalues of a Matrix After Perturbation
• Generic Change of the Partial Multiplicities of Regular Matrix Pencils under Low-Rank Perturbations
• The rank of the difference of matrices with prescribed similarity classes
• Invariant Factors Under Rank One Perturbations
• Low Rank Perturbation of Jordan Structure
• Weierstrass Structure and Eigenvalue Placement of Regular Matrix Pencils under Low Rank Perturbations
• Relationship between the characteristic polynomial and the spectrum of a diagonalizable matrix and those of its low-rank update
• Pole Assignment and Additive Perturbations of Fixed Rank
• Generic rank-k Perturbations of Structured Matrices
• Eigenvalue Placement for Regular Matrix Pencils with Rank One Perturbations

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