Results 31 to 40 of about 1,963 (90)
Using decomposition of the nonlinear operator for solving non‐differentiable problems
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7987-8006, 15 May 2025.Starting from the decomposition method for operators, we consider Newton‐like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic convergence of Newton's method.
Eva G. Villalba +3 more
wiley +1 more source
Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We establish convergence theorems of Newton‐Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate. To show the application of our theorems, two numerical examples are given.
Rongfei Lin +4 more
wiley +1 more source
Neural‐network‐based regularization methods for inverse problems in imaging
GAMM-Mitteilungen, Volume 47, Issue 4, November 2024.Abstract This review provides an introduction to—and overview of—the current state of the art in neural‐network based regularization methods for inverse problems in imaging. It aims to introduce readers with a solid knowledge in applied mathematics and a basic understanding of neural networks to different concepts of applying neural networks for ...
Andreas Habring, Martin Holler
wiley +1 more source
Solving Large‐Scale Unconstrained Optimization Problems with an Efficient Conjugate Gradient Class
Journal of Mathematics, Volume 2024, Issue 1, 2024.The main goal of this paper is to introduce an appropriate conjugate gradient class to solve unconstrained optimization problems. The presented class enjoys the benefits of having three free parameters, its directions are descent, and it can fulfill the Dai–Liao conjugacy condition.
Sanaz Bojari +2 more
wiley +1 more source
Rigorous Enclosures of Solutions of Neumann Boundary Value Problems
, 2020 This paper is dedicated to the problem of isolating and validating zeros of non-linear two point boundary value problems. We present a method for such purpose based on the Newton-Kantorovich Theorem to rigorously enclose isolated zeros of two point ...
Gameiro, Marcio +2 more
core
Positive Polynomials on Riesz Spaces
, 2016 We prove some properties of positive polynomial mappings between Riesz spaces, using finite difference calculus. We establish the polynomial analogue of the classical result that positive, additive mappings are linear.
Cruickshank, James +2 more
core +1 more source
A modified Newton-secant method for solving nonsmooth generalized equations
Mathematical Modelling and AnalysisIn this paper, we study the solvability of nonsmooth generalized equations in Banach spaces using a modified Newton-secant method, by assuming a Hölder condition.
Vitaliano de Sousa Amaral +3 more
doaj +1 more source
Smooth backfitting in generalized additive models
, 2007 Generalized additive models have been popular among statisticians and data analysts in multivariate nonparametric regression with non-Gaussian responses including binary and count data.
Mammen, Enno +2 more
core +2 more sources
The Fréchet–Newton Scheme for SV-HJB: Stability Analysis via Fixed-Point Theory
AxiomsThis paper investigates the optimal portfolio control problem under a stochastic volatility model, whose dynamics are governed by a highly nonlinear Hamilton–Jacobi–Bellman equation.
Mehran Paziresh +2 more
doaj +1 more source
Computation of maximal local (un)stable manifold patches by the parameterization method
, 2015 In this work we develop some automatic procedures for computing high order polynomial expansions of local (un)stable manifolds for equilibria of differential equations.
Breden, Maxime +2 more
core +1 more source