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Approximation by Degenerate Hermite–Kantorovich Operators: Theory and Applications

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
The main objective of this article is to investigate the performance of a class of positive linear operators, namely, Kantorovich variation of Szász operators associated with degenerate Hermite polynomials for integrable functions, and their approximation characteristics are extensively investigated.
Manoj Kumar   +4 more
wiley   +1 more source

Identification and estimation of continuous‐time dynamic discrete choice games

open access: yesQuantitative Economics, Volume 17, Issue 1, Page 254-296, January 2026.
This paper considers the theoretical, computational, and econometric properties of continuous‐time dynamic discrete choice games with stochastically sequential moves, introduced by Arcidiacono, Bayer, Blevins, and Ellickson (2016). We consider identification of the rate of move arrivals, which was assumed to be known in previous work, as well as a ...
Jason R. Blevins
wiley   +1 more source

On Newton‐Kantorovich Method for Solving the Nonlinear Operator Equation

open access: yesAbstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
We develop the Newton‐Kantorovich method to solve the system of 2 × 2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. A new majorant function is introduced which leads to the increment of the convergence interval. The existence and uniqueness of approximate solution are proved and a numerical example is provided
Hameed Husam Hameed   +4 more
wiley   +1 more source

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai   +4 more
wiley   +1 more source

Multivariate Neural Network Operators: Simultaneous Approximation and Voronovskaja‐Type Theorem

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 10669-10677, 30 July 2025.
ABSTRACT In this paper, the simultaneous approximation and a Voronoskaja‐type theorem for the multivariate neural network operators of the Kantorovich type have been proved. In order to establish such results, a suitable multivariate Strang–Fix type condition has been assumed.
Marco Cantarini, Danilo Costarelli
wiley   +1 more source

On the comparison of a weak variant of the Newton–Kantorovich and Miranda theorems

open access: yesJournal of Computational and Applied Mathematics, 2004
The author [J. Comput. Appl. Math. 157, 169--185 (2003; Zbl 1030.65060)] has shown a semi-local convergence theorem under weaker assumptions than those of the Newton-Kantorovich theorem. Operators satisfying the weakened Newton-Kantorovich conditions are shown to satisfy the conditions of the weakened Miranda theorem.
openaire   +2 more sources

A new form of the kantorovich theorem for newton’s method [PDF]

open access: yes, 2013
Una nueva forma de convergencia de tipo Kantorovich para el me´todo de Newton es establecido para aproximarse localmente a una solución única de la ecuación F (x) = 0 definido sobre un espacio de Banach.
Paredes Soria, Leopoldo   +1 more
core   +1 more source

Using decomposition of the nonlinear operator for solving non‐differentiable problems

open access: yesMathematical 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

Neural‐network‐based regularization methods for inverse problems in imaging

open access: yesGAMM-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

open access: yesJournal 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

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