Separation of the roots of the systems of nonlinear equations. Stochastic approach

Abstract

The work is devoted to the actual problem of separating the roots of nonlinear systems of equations in the case of many variables. The well-known method of reducing the problem of solving the system to an equivalent extremal problem, which is supposed to be solved by one of the methods of stochastic optimization. The annealing simulation modeling method and its modification are chosen, which are especially interesting in that they allow efficient implementation on quantum computers. Since quantum ccomputers based on simulated annealing demonstrate quantum superiority, the results obtained can be useful in solving systems of equations on these computing systems.