Results 61 to 70 of about 436,998 (271)

Local convergence of Newton's method using Kantorovich convex majorants

Journal of Numerical Analysis and Approximation Theory, 2010
We are concerned with the problem of approximating a solution of an operator equation using Newton's method. Recently in the elegant work by Ferreira and Svaiter [6] a semilocal convergence analysis was provided which makes clear the relationship of the
Ioannis K. Argyros
doaj   +2 more sources

Seventh Order Derivative-Free Methods for Non-differentiable Operator Equations

European Journal of Mathematical Analysis, 2023
In nonlinear problems where function’s derivatives are difficult or expensive to compute, derivative-free iterative methods are good options to find the numerical solution.
Sunil Kumar, Janak Raj Sharma, Ioannis K. Argyros, Samundra Regmi   +3 more
doaj   +1 more source

An alternative analysis for the local convergence of iterative methods for multiple roots including when the multiplicity is unknown

International Journal of Computational Mathematics, 2019
In this paper we propose an alternative for the study of local convergence radius and the uniqueness radius for some third-order methods for multiple roots whose multiplicity is known.
D. Alarcón, J. L. Hueso, E. Martínez
semanticscholar   +1 more source

The collapse of the local, Spitzer-Haerm formulation and a global-local generalization for heat flow in an inhomogeneous, fully ionized plasma [PDF]

, 1983
The breakdown of the classical (CBES) field aligned transport relations for electrons in an inhomogeneous, fully ionized plasma as a mathematical issue of radius of convergence is addressed, the finite Knudsen number conditions when CBES results are ...
Olbert, S., Scudder, J. D.
core   +1 more source

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

Advanced Functional Materials, EarlyView.
An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone, Victoria Clerico, Wooseok Choi, Tommaso Stecconi, Folkert Horst, Laura Bégon‐Lours, Matteo Galetta, Antonio La Porta, Nikhil Garg, Fabien Alibart, Bert Jan Offrein, Valeria Bragaglia   +11 more
wiley   +1 more source

Convergence analysis of a power series based iterative method having seventh order of convergence

Математичні Студії
In this paper, we propose a new three-point iterative scheme for solving nonlinear equations, which achieves seventh-order convergence. The method begins with a standard Newton iteration, followed by two weighted-Newton steps constructed using power ...
C. D. Sreedeep, I. K. Argyros, K. C. Gopika Dinesh, N. Shrestha, M. Argyros   +4 more
doaj   +1 more source

Local Convergence of a Family of Weighted-Newton Methods

Symmetry, 2019
This article considers the fourth-order family of weighted-Newton methods. It provides the range of initial guesses that ensure the convergence. The analysis is given for Banach space-valued mappings, and the hypotheses involve the derivative of order ...
R. Behl, I. Argyros, J. Machado, A. Alshomrani   +3 more
semanticscholar   +1 more source

Mechanical Properties of Architected Polymer Lattice Materials: A Comparative Study of Additive Manufacturing and CAD Using FEM and µ‐CT

Advanced Functional Materials, EarlyView.
This study examines how pore shape and manufacturing‐induced deviations affect the mechanical properties of 3D‐printed lattice materials with constant porosity. Combining µ‐CT analysis, FEM, and compression testing, the authors show that structural imperfections reduce stiffness and strength, while bulk material inhomogeneities probably enhance ...
Oliver Walker, Thierry Roland, Damien Favier, Antoine Egele, Michael Heymann, Cosima Stubenrauch   +5 more
wiley   +1 more source

Local Comparison between Two Ninth Convergence Order Algorithms for Equations

Algorithms, 2020
A local convergence comparison is presented between two ninth order algorithms for solving nonlinear equations. In earlier studies derivatives not appearing on the algorithms up to the 10th order were utilized to show convergence.
Samundra Regmi, Ioannis K. Argyros, Santhosh George   +2 more
doaj   +1 more source

Local Analysis of Inverse Problems: H\"{o}lder Stability and Iterative Reconstruction

, 2012
We consider a class of inverse problems defined by a nonlinear map from parameter or model functions to the data. We assume that solutions exist. The space of model functions is a Banach space which is smooth and uniformly convex; however, the data space
Ammari H, Butnariu D, Calderón A-P, Dobson D C, Hofmann B, Kaltenbacher B, Lechleiter A, Lingyun Qiu, Maarten V de Hoop, Otmar Scherzer, Scherzer O, Schöpfer F, Uhlmann G   +12 more
core   +1 more source