论文信息 - Typical Changes in Spectral Properties under Perturbations by a Rank-One Operator

Typical Changes in Spectral Properties under Perturbations by a Rank-One Operator

We show that under perturbations by a rank-one typical operator, a fixed eigenvalue loses one Jordan block of maximal order, while the orders of the other Jordan blocks remain unchanged. We construct the first-order perturbation theory for the new eigenvalues and the zero-order approximations to the corresponding eigenvectors.

S. V. Savchenko

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