Arbitrary perturbations of Hermitian matrices

DOI10.1016/0024-3795(79)90154-XzbMath0397.15014MaRDI QIDQ1253695

Arnold Schönhage

Publication date: 1979

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

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) 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)

Cites Work

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• Spectra of Nearly Hermitian Matrices
• Every n × n Matrix Z with Real Spectrum Satisfies || Z - Z ∗ || ≦ || Z + Z ∗ || (log 2 n + 0.038)