We consider two different theoretical approaches for the problem of the perturbation of invariant subspaces. The first approach belongs to the standard theory. In that approach the bounds for the norm of the perturbation of the projector are proportional to the norm of perturbation matrix, and inversely proportional to the distance between the corresponding eigenvalues and the rest of the spect...

1. Jacques Herbrand, Recherches sur la théorie de la démonstration, Travaux de la Société des Sciences et des Lettres de Varsovie, Classe III sciences mathématiques et physiques, no. 33 (1930). 2. , Sur le problème fondamental de la logique mathématique, Comptes Rendus des séances de la Société des Sciences et des Lettres de Varsovie, Classe III sciences mathématiques et physiques, no. 24 (1931...

In this work we consider implementation and testing of an algorithm for continuation of invariant subspaces.