Abstract:
On the base of the bifurcation theory methods it is considered the problem of the retaining multiple eigenvalues and relevant eigenvectors and roots elements. An approch is suggested which allows reduce algebraic multiple to unit, that is reduce the problem of the retaining multiple eigenvalues to simple. For construction iterated process applied pseudoperturbation methods.
Keywords:bifurcation theory methods, multiple eigenvalues, root number, reduction pseudoperturbation method.