A bound for the spectral variation of a unitary operator

DOI10.1080/03081088408817578zbMath0539.15010OpenAlexW1978541146MaRDI QIDQ3325862

Chandler Davis, Rajendra Bhatia

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/03081088408817578

zbMATH Keywords

unitary matricesspectral variation

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)

Related Items (22)

Norms of certain matrices with applications to variations of the spectra of matrices and matrix pencils ⋮ A survey of Chandler Davis ⋮ The Hoffman-Wielandt inequality in infinite dimensions ⋮ On perturbations of matrix pencils with real spectra, a revisit ⋮ Error bounds in the isometric Arnoldi process ⋮ Homomorphisms between finite direct sums of circle algebras ⋮ Eigenvalues of symmetrizable matrices ⋮ Eigenvalue inequalities associated with the cartesian decomposition ⋮ On perturbations of matrix pencils with real spectra. II ⋮ The rational approximations of the unitary groups ⋮ Short Normal Paths and Spectral Variation ⋮ Unitary orbits of self-adjoint operators in simple \(\mathcal{Z}\)-stable \(\mathrm{C}^\ast\)-algebras ⋮ Some inequalities for commutators and an application to spectral variation. II ⋮ Spectral variation of normal matrices ⋮ On Perturbations of Matrix Pencils with Real Spectra ⋮ The spectral variation for two matrices with spectra on two intersecting lines ⋮ Perturbation and interlace theorems for the unitary eigenvalue problem ⋮ Spectral variation, normal matrices, and Finsler geometry ⋮ Optimal transport and unitary orbits in \(\mathrm{C}^\ast\)-algebras ⋮ \(C^*\) exponential length of commutators unitaries in AH-algebras ⋮ Rajendra Bhatia and his mathematical achievements ⋮ Majorizations and inequalities in matrix theory

Cites Work

• On permutations, convex hulls, and normal operators
• Perturbation of spectral subspaces and solution of linear operator equations
• The variation of the spectrum of a normal matrix

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