Results 71 to 80 of about 3,416 (193)

Solving equations using Newton's method under weak conditions on Banach spaces with a convergence structure

Journal of Numerical Analysis and Approximation Theory, 2008
We provide new semilocal results for Newton's method on Banach spaces with a convergence structure. Using more precise majorizing sequence we show that, under weaker convergence conditions than before, we can obtain finer error bounds on the distances ...
Ioannis K. Argyros
doaj   +2 more sources

Diffusion of Ge Donors in β‐Ga2O3

physica status solidi (b), Volume 262, Issue 8, August 2025.
Ge behaves as a shallow donor and is a commonly used n‐type dopant in β‐Ga2O3. To achieve precise control over dopant distributions, understanding the Ge diffusion process in β‐Ga2O3 is essential. This study combines experimental diffusion profiles with hybrid functional calculations and diffusion simulations to both predict the diffusion of Ge and ...
Ylva K. Hommedal, Ymir Kalmann Frodason, Lasse Vines, Klaus Magnus H. Johansen   +3 more
wiley   +1 more source

Simple Impurity Embedded in a Spherical Jellium: Approximations of Density Functional Theory compared to Quantum Monte Carlo Benchmarks

, 2011
We study the electronic structure of a spherical jellium in the presence of a central Gaussian impurity. We test how well the resulting inhomogeneity effects beyond spherical jellium are reproduced by several approximations of density functional theory ...
B. L. Hammond, D. M. Ceperley, Fernando A. Reboredo, J. P. Perdew, Jeongnim Kim, K. E. Schmidt, Michal Bajdich, P. R. C. Kent   +7 more
core   +1 more source

Semilocal Convergence Domain of a Chandrasekhar Integral Equation

Symmetry
In this study, we discuss the semilocal convergence analysis of a fourth-order iterative method in Banach spaces. We assume the Fréchet derivative satisfies the Lipschitz continuity condition, obtains suitable recurrence relations, and determines the domain of convergence under appropriate initial estimates.
Eulalia Martínez, Arleen Ledesma
openaire   +1 more source

Extended convergence of two-step iterative methods for solving equations with applications

Journal of Numerical Analysis and Approximation Theory
The convergence of two-step iterative methods of third and fourth order of convergence are studied under weaker hypotheses than in earlier works using our new idea of the restricted convergence region.
Ioannis K. Argyros, Santhosh George
doaj   +1 more source

Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
wiley   +1 more source

Efficacy of the DFT+U formalism for modeling hole polarons in perovskite oxides

, 2014
We investigate the formation of self-trapped holes (STH) in three prototypical perovskites (SrTiO3, BaTiO3, PbTiO3) using a combination of density functional theory (DFT) calculations with local potentials and hybrid functionals.
Erhart, Paul, Klein, Andreas, Sadigh, Babak, Åberg, Daniel   +3 more
core   +1 more source

The cubic semilocal convergence on two variants of Newton's method

Journal of Computational and Applied Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zheng, Quan, Bai, Rongxia, Liu, Zhongli
openaire   +2 more sources

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, Miguel Hernandez, Jose L. Hueso, Eulalia Martínez   +3 more
wiley   +1 more source

Phonon-assisted optical absorption in BaSnO$_3$ from first principles

, 2017
The perovskite BaSnO$_3$ provides a promising platform for the realization of an earth abundant $n$-type transparent conductor. Its optical properties are dominated by a dispersive conduction band of Sn $5s$ states, and by a flatter valence band of O $2p$
Dreyer, Cyrus E., Monserrat, Bartomeu, Rabe, Karin M.   +2 more
core   +1 more source