On a unified convergence analysis for Newton-type methods solving generalized equations with the Aubin property
IK Argyros, S George - Journal of Complexity, 2024 - Elsevier
A plethora of applications from diverse disciplines reduce to solving generalized equations
involving Banach space valued operators. These equations are solved mostly iteratively …
involving Banach space valued operators. These equations are solved mostly iteratively …
[HTML][HTML] Local convergence analysis of Newton's method for solving strongly regular generalized equations
OP Ferreira, GN Silva - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
In this paper, we consider Newton's method for solving a generalized equation of the form f
(x)+ F (x)∋ 0, where f: Ω→ Y is continuously differentiable, X and Y are Banach spaces, Ω⊂ …
(x)+ F (x)∋ 0, where f: Ω→ Y is continuously differentiable, X and Y are Banach spaces, Ω⊂ …
Inexact Newton–Kantorovich methods for constrained nonlinear model predictive control
AL Dontchev, M Huang… - … on Automatic Control, 2018 - ieeexplore.ieee.org
In this paper, we consider Newton-Kantorovich type methods for solving control-constrained
optimal control problems that appear in model predictive control. Conditions for …
optimal control problems that appear in model predictive control. Conditions for …
On Newton's method for solving generalized equations
In this paper, we study the convergence properties of a Newton-type method for solving
generalized equations under a majorant condition. To this end, we use a contraction …
generalized equations under a majorant condition. To this end, we use a contraction …
A physics‐based model reduction approach for node‐to‐segment contact problems in linear elasticity
D Manvelyan, B Simeon… - International Journal for …, 2022 - Wiley Online Library
The article presents a novel model order reduction method for mechanical problems in
linear elasticity with nonlinear contact conditions. Recently, we have proposed an efficient …
linear elasticity with nonlinear contact conditions. Recently, we have proposed an efficient …
Inexact Newton method for non-linear functions with values in a cone
OP Ferreira, GN Silva - Applicable Analysis, 2019 - Taylor & Francis
The problem of finding a solution of non-linear inclusion problems in Banach space is
considered in this paper. Using convex optimization techniques introduced by Robinson …
considered in this paper. Using convex optimization techniques introduced by Robinson …
Nonlinear metric regularity on fixed sets
The aim of this paper is to study some new models of nonlinear regularity on fixed sets of set-
valued mappings defined on the complete metric spaces. Slope and coderivative …
valued mappings defined on the complete metric spaces. Slope and coderivative …
Kantorovich's theorem on Newton's method for solving strongly regular generalized equation
OP Ferreira, GN Silva - SIAM Journal on Optimization, 2017 - SIAM
In this paper, we consider Newton's method for solving a generalized equation. We show
that under strong regularity of the equation and on the condition that the starting point …
that under strong regularity of the equation and on the condition that the starting point …
[PDF][PDF] Kantorovich-type theorems for generalized equations
R Cibulka, AL Dontchev, J Preininger, T Roubal… - J. Convex …, 2018 - researchgate.net
We study convergence of the Newton method for solving generalized equations of the form f
(x)+ F (x)∋ 0, where f is a continuous but not necessarily smooth function and F is a …
(x)+ F (x)∋ 0, where f is a continuous but not necessarily smooth function and F is a …
Secant-inexact projection algorithms for solving a new class of constrained mixed generalized equations problems
PC da Silva Junior, OP Ferreira, LD Secchin… - … of Computational and …, 2024 - Elsevier
In this paper, a new version of a secant-type method for solving constrained mixed
generalized equations is addressed. The method is a combination of the secant method …
generalized equations is addressed. The method is a combination of the secant method …