Loading…
On a perturbation bound for invariant subspaces of matrices
On a perturbation bound for invariant subspaces of matrices
Karow, Michael; Kressner, Daniel
FG Numerische Lineare Algebra
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.
