Some inequalities for commutators and an application to spectral variation. II

DOI10.1080/03081089708818526zbMath0901.47012OpenAlexW1963684098MaRDI QIDQ4376561

Ren-Cang Li, Fuad Kittaneh, Rajendra Bhatia

Publication date: 25 November 1998

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

Full work available at URL: https://doi.org/10.1080/03081089708818526

zbMATH Keywords

inequalitiescommutatorunitarily invariant normsdiagonalizable matrixspectral variationpositive definite operator in a complex separable Hilbert spacespectral variation of diagonalizable matrices

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (7)

New upper bounds for the spectral variation of a general matrix ⋮ On perturbations of matrix pencils with real spectra, a revisit ⋮ Relative perturbation theory. III: More bounds on eigenvalue variation ⋮ THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM ⋮ Rayleigh--Ritz Majorization Error Bounds of Mixed Type ⋮ Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem ⋮ Spectral variations and Hadamard products: Some problems

Cites Work

• Some inequalities for commutators and an application to spectral variation
• A note on the arithmetic-geometric-mean inequality for matrices
• Perturbation theory for rectangular matrix pencils
• A bound for the spectral variation of a unitary operator
• On perturbations of matrix pencils with real spectra. II

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