Método de Newton: um estudo sobre estimativas exatas do raio de convergência e unicidade de solução

Abstract

In this paper a detailed study is made of accurate estimates for the radius of the ball of convergence of Newton s method and ball uniqueness of solution of equations in Banach spaces, we added an estimate for the radius of the ball of the inverse function theorem. This study follows the ideas discussed in the work of Wang [30, 31].