Residual bounds for unitarily invariant norms on clustered eigenvalues

DOI10.1016/0024-3795(95)00677-XzbMath0882.15011WikidataQ127174145 ScholiaQ127174145MaRDI QIDQ676021

Jianjun Xie

Publication date: 8 March 1998

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

zbMATH Keywords

Hermitian matrixunitarily invariant normresidual boundclustered eigenvalues

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (2)

Rayleigh--Ritz Majorization Error Bounds of Mixed Type ⋮ Simple criteria for sector root clustering of uncertain systems with multiple time delays

Cites Work

• Perturbation of spectral subspaces and solution of linear operator equations
• A new look at the Lanczos algorithm for solving symmetric systems of linear equations
• Eigenvalues of Rayleigh quotient matrices
• On eigenvalues of a Rayleigh quotient matrix
• A sharp version of Kahan's theorem on clustered eigenvalues
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• Two Simple Residual Bounds for the Eigenvalues of a Hermitian Matrix
• Residual Bounds on Approximate Eigensystems of Nonnormal Matrices
• Spectra of Nearly Hermitian Matrices
• The Rotation of Eigenvectors by a Perturbation. III
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