An algorithm of the continuation of a solution, according to discrepancy, for the determination of the initial approximation in the Newton method
Volokitin, S. S.; Suslin, B. A.;
An algorithm of the continuation of a solution, according to discrepancy, for the determination of the initial approximation in the Newton method
It is well known that the Newton-Kantorovich method for nonlinear systems of equations in \(R^ n\) is only locally convergent. In this paper under some assumptions, a finite step algorithm is given how to find an initial value \(x_ 0\) in such a way that the sufficient conditions for convergence are fulfilled. Numerical examples are given.
choice of initial value, Numerical examples, Numerical computation of solutions to systems of equations, Newton-Kantorovich method, finite step algorithm
choice of initial value, Numerical examples, Numerical computation of solutions to systems of equations, Newton-Kantorovich method, finite step algorithm