On the Distance Between Normal Matrices

DOI10.2307/2047898zbMath0726.15010OpenAlexW4242018902MaRDI QIDQ3348109

Matjaž Omladič, Peter Šemrl

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047898

zbMATH Keywords

eigenvaluesdistancenormal matricesuniform operator norm

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Perturbation theory of linear operators (47A55)

Related Items (6)

Spectral variation bounds for diagonalisable matrices ⋮ Norm Equalities for Derivations ⋮ Trace class multipliers and spectral variation of normal matrices ⋮ An estimate for the norm of a derivation on a norm ideal ⋮ Maximal spectral distance ⋮ The numerical range of products of normal matrices

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