ON CALCULATION OF MULTIPLE EIGENVALUES OF THE LINEAR OPERATOR-FUNCTION BY REDUCTION PSEUDO-PERTURBATION METHODS

This article examines the theory of bifurcations, which applies to the problem of retaining of the approximately given multiple eigenvalues and their generalized eigenvectors. This approach allows the reduction of algebraic multiplicity of eigenvalue for one and transfers the problem to the similar one but with simple eigenvalue. The method of the false perturbation is used to construct iterative processes.