Absolute and relative perturbation bounds for invariant subspaces of matrices

DOI10.1016/S0024-3795(99)00104-4zbMath0949.15025MaRDI QIDQ1976907

Ilse C. F. Ipsen

Publication date: 5 December 2000

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

zbMATH Keywords

eigenvaluesinvariant subspaceperturbation boundssubspace bases

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

A Note on Perturbation Estimates for Invariant Subspaces of Hessenberg Matrices, On the convergence of Ritz pairs and refined Ritz vectors for quadratic eigenvalue problems, An analysis of the Rayleigh--Ritz method for approximating eigenspaces, On expansion of search subspaces for large non-Hermitian eigenproblems, Relative perturbation theory for hyperbolic eigenvalue problem, A note on the perturbation bounds of eigenspaces for Hermitian matrices, Krylov-Subspace Recycling via the POD-Augmented Conjugate-Gradient Method, Parallel Prony's Method with Multivariate Matrix Pencil Approach and Its Numerical Aspects, An iterative block Arnoldi algorithm with modified approximate eigenvectors for large unsymmetric eigenvalue problems, An overview of relative \(\sin\Theta\) theorems for invariant subspaces of complex matrices, A note on unifying absolute and relative perturbation bounds, Relative perturbation theory for hyperbolic singular value problem

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