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On a perturbation bound for invariant subspaces of matrices

Karow, Michael; Kressner, Daniel

Given a nonsymmetric matrix A, we investigate the effect of perturbations on an invariant subspace of A. The result derived in this paper differs from Stewart's classical result and sometimes yields tighter bounds. Moreover, we provide norm estimates for the remainder terms in well-known perturbation expansions for invariant subspaces, eigenvectors, and eigenvalues.
Published in: SIAM Journal on Matrix Analysis and Applications, 10.1137/130912372, Society for Industrial and Applied Mathematics