Аннотация:In the practical design of fiber-optic communication lines, one important parameter is the computational complexity of the method that is used, since the speed and energy efficiency of the receiving device directly depend on this parameter. From an engineering point of view, the methods should be comparable in speed with a linear equalizer, whose computational complexity is Θ(N log_2 N) operations, where N is the number of time grid nodes. The subject of this work is a generalization of superfast (Θ(N log_2 ^2 N) arithmetic operations) LayerPeeling and InverseLayerPeeling methods developed for the nonlinear Schrödinger equation for the Manakov system of equations. In this paper the LayerPeeling family algorithms were generalized to the case of double polarization system governed by the Manakov system of equations.