Lower and upper bounds for the number of distinct eigenvalues of a perturbed regular matrix pencil

DOI10.1016/j.laa.2021.05.017zbMath1469.15024OpenAlexW3167408329MaRDI QIDQ2040546

Seungkook Park, Sunyo Moon

Publication date: 14 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.05.017

zbMATH Keywords

perturbationspectrummatrix pencils

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Perturbation theory of linear operators (47A55) Matrix pencils (15A22)

Cites Work

• The number of distinct eigenvalues of a regular pencil and of a square matrix after rank perturbation
• An improved upper bound for the number of distinct eigenvalues of a matrix after perturbation
• The Number of Distinct Eigenvalues of a Matrix After Perturbation
• Weierstrass Structure and Eigenvalue Placement of Regular Matrix Pencils under Low Rank Perturbations
• Refined bounds on the number of distinct eigenvalues of a matrix after low-rank update
• Conditional Means and Covariances of Normal Variables with Singular Covariance Matrix
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