On the convergence rate of an iterative method for the linearized navier-stokes equations

A considerably simpler and much more efficient method for Fréchet derivative inversion has been reported. Specifically, the Fréchet derivative is inverted by the method of successive approximations, which preserves the high convergence rate of the series from converges in the class of strong solutions at the rate of a geometric progression with a common ratio arbitrarily close to zero. The efficiency of the implementation of Newton's method as applied to nonlinear problem is determined primarily by the efficiency of the numerical method used to solve problem.