An optimal bound for the spectral variation of two matrices
From MaRDI portal
Publication:1070007
DOI10.1016/0024-3795(85)90236-8zbMath0583.15009OpenAlexW1969974509MaRDI QIDQ1070007
Publication date: 1985
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://pub.uni-bielefeld.de/record/1780375
Related Items
Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices ⋮ Bounds for the variation of matrix eigenvalues and polynomial roots ⋮ An Elsner-like perturbation theorem for generalized eigenvalues ⋮ An invert-free Arnoldi method for computing interior eigenpairs of large matrices ⋮ Optimal bounds for the spectral variation of two regular matrix pairs ⋮ Infinite-dimensional features of matrices and pseudospectra ⋮ Numerical analysis of the spectrum for the highly oscillatory integral equation with weak singularity ⋮ The Convergence of Harmonic Ritz Vectors and Harmonic Ritz Values, Revisited ⋮ Computation of eigenpair partial derivatives by Rayleigh-Ritz procedure ⋮ An analysis of the Rayleigh--Ritz method for approximating eigenspaces ⋮ Improving spectral-variation bounds with Chebyshev polynomials ⋮ On the variation of the spectra of matrix pencils ⋮ Explicit upper bounds for the spectral distance of two trace class operators ⋮ Estimates for the spectrum near algebraic elements ⋮ Spectral variation bounds in hyperbolic geometry ⋮ On condition numbers of polynomial eigenvalue problems ⋮ A new inequality for the Hausdorff distance between spectra of two matrices ⋮ Bounds for the variation of the roots of a polynomial and the eigenvalues of a matrix ⋮ Resolvent bounds and spectral variation ⋮ A refined bound for the spectral variations of matrices ⋮ Estimates for norms of matrix-valued and operator-valued functions and some of their applications ⋮ Counterexample to a conjecture of Elsner on the spectral variation of matrices
Cites Work
