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Weaker conditions for inexact mutitpoint Newton-like methods
In this paper we study the problem of analyzing the convergence both local and semilocal of inexact Newton-like methods for approximating the solution of an equation in which there exists nondifferentiability. We will ...
On the convergence of inexact two-point Newton-like methods on Banach spaces
We present a unified convergence analysis of Inexact Newton like methods in order to approximate a locally unique solution of a nonlinear operator equation containing a nondifferentiable term in a Banach space setting. The ...
Extended local convergence for some inexact methods with applications
We present local convergence results for inexact iterative procedures of high convergence order in a normed space in order to approximate a locally unique solution. The hypotheses involve only Lipschitz conditions on the ...
Robust convergence for inexact newton method
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 ...
An inexact restoration strategy for the globalization of the sSQP method
(Springer, 2013-04)
A globally convergent algorithm based on the stabilized sequential quadratic programming (sSQP) method is presented in order to solve optimization problems with equality constraints and bounds. This formulation has ...