New perturbation bounds for the spectrum of a normal matrix

DOI10.1016/j.jmaa.2017.06.051zbMath1370.15018arXiv1612.05759OpenAlexW2729378074MaRDI QIDQ2014139

Xuefeng Xu, Chen-Song Zhang

Publication date: 10 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.05759

zbMATH Keywords

perturbationspectrumHermitian matrixnormal matrixdeparture from normality

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (1)

New upper bounds for the spectral variation of a general matrix

Cites Work

• On the variation of the spectrum of a Hermitian matrix
• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• A note on the variation of the spectrum of an arbitrary matrix
• On the variation of the spectrum of a normal matrix
• A note on unifying absolute and relative perturbation bounds
• The variation of the spectrum of a normal matrix
• The perturbation bounds for eigenvalues of normal matrices
• Spectra of Nearly Hermitian Matrices
• Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations
• Three Absolute Perturbation Bounds for Matrix Eigenvalues Imply Relative Bounds
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