We extend the applicability of Newton's method for k-Fréchet differentiable operators in a Banach space setting by using a more flexible way of computing ...

We extend the applicability of Newton's method for k-Fréchet differentiable operators in a Banach space setting by using a more flexible way of computing ...

We extend the applicability of Newton's method for k-Fréchet differentiable operators in a Banach space setting by using a more flexible way of computing u ...

... Fréchet-differentiable operator. Suppose condition (1.2) holds,. kF0(x0)−1F(x0)k ≤ η for some η ≥ 0, and for α = γη. (1.3) α ≤ 3 − 2. √. 2. Then, sequence ...

Extending the applicability of Newton's method for k-Fréchet differentiable operators in Banach spaces. Argyros, I.K.; González, D. Journal:.

Jun 27, 2019 · We provide a new local convergence analysis of a Newton-Kurchatov-like method to solve non-differentiable equations in Banach spaces. Our result ...

The convergence is developed for a large class of Chebyshev-two point-like methods for solving Banach space valued equations. Both the local as well as the semi ...

The utilized operator is Fréchet-differentiable between Banach spaces. These ... Newton's method involving Banach space value operators can be replaced by weaker ...

Jun 27, 2019 · Abstract. We provide a new local convergence analysis of a Newton-Kurchatov-like method to solve non-differentiable equations in Banach ...

Jun 27, 2021 · The aim of this article is to extend the applicability of Newton's method involving k-Fréchet differentiable operators.