Mostrando ítems 21-26 de 26

• #### Newton’s method for k-Fréchet differentiable operators ﻿

(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
We determine a solution x of the equation F(x) = 0. where X and Y are Banach spaces, D ⊆ X a convex set and F : D → Y is a Fréchet-differentiable operator. In particular, we expand the applicability of the Newton’s method ...
• #### Nonlinear Ill-posed equations ﻿

(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
In this chapter we provide an extended the analysis of the Lavrentiev regularization for nonlinear ill-posed problems F(x) = y, where F : D(F) ⊆ X → X is a nonlinear monotone operator considered in .
• #### Preface ﻿

(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
Capítulo del libro "Iterative Methods and Their Dynamics with Applications"
• #### Robust convergence for inexact newton method ﻿

(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
The main task this chapter is to use the iterative methods to find solutions x of the equation F(x) = 0, (7.1) where D : D ⊂ X → Y is a Fréchet-differentiable operator X, Y are Banach spaces and D ⊂ X. Many problems from ...
• #### Secant-like methods ﻿

(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
In this chapter we study the problem of finding a locally unique solution x of equation F(x) = 0, (13.1) where F is a Fréchet-differentiable operator defined on a convex subset D of a Banach space χ with values in a Banach ...
• #### Sixth-order iterative methods ﻿

(Iterative Methods and Their Dynamics with Applications: A Contemporary Study, 2017)
We develop sixth-order iterative methods in order to approximate zeros x of the function f defined on the real line. This method can be used to solve many 64problems from computational sciences and other disciplines ...