Results 81 to 90 of about 649,766 (178)

Newton's method in Riemannian manifolds

Journal of Numerical Analysis and Approximation Theory, 2008
Using more precise majorizing sequences than before [1], [8], and under the same computational cost, we provide a finer semilocal convergence analysis of Newton's method in Riemannian manifolds with the following advantages: larger convergence domain ...
Ioannis K. Argyros
doaj   +2 more sources

Unique Mixed Valence Behavior of Tantalum and Electronic Structure of the Novel P1−xTa8+xN13(X = 0.1–0.15) Using Density Functional Theory and Soft X‐Ray Spectroscopy

Chemistry–Methods, Volume 5, Issue 12, November 2025.
An uncommon nitride featuring phosphorus surrounded by six nitrogen atoms reveals unexpected metallic behavior. Soft X‐ray spectroscopy and density functional theory uncover mixed‐valence tantalum and complex TaN bonding, unlocking new insights for future electronic and catalytic technologies.
Claude Ceniza, Monika M. Pointner, Teak D. Boyko, Wolfgang Schnick, Alexander Moewes   +4 more
wiley   +1 more source

Exploring Aromaticity in Expanded Porphyrins: A Multidimensional Approach to Structure–Property Relationships

Chemistry–Methods, Volume 5, Issue 12, November 2025.
Expanded porphyrins, with their flexible structures and rich redox chemistry, offer a powerful platform to explore how aromaticity shapes molecular properties. This review introduces a multidimensional framework to quantify Hückel and Möbius aromaticity and examines its impact on the spectroscopic behavior across redox‐ and topology‐controlled expanded
Freija De Vleeschouwer, Eline Desmedt, Mercedes Alonso   +2 more
wiley   +1 more source

Semilocal and local convergence of a fifth order iteration with Frechet derivative satisfying Holder condition [PDF]

, 2016
The semilocal and local convergence in Banach spaces is described for a fifth order iteration for the solutions of nonlinear equations when the Frechet derivative satisfies the Holder condition.
Singh, S., Hueso Pagoaga, José Luís, Gupta, D.K., Martínez Molada, Eulalia   +3 more
core   +1 more source

New Insights into the Intrinsic Transport Properties of Sb2O5 and ZnSb2O6

physica status solidi (RRL) – Rapid Research Letters, Volume 19, Issue 11, November 2025.
Herein, Sb2O5 and ZnSb2O6 are revisited using an advanced carrier transport approach based on the exact solution of the Boltzmann transport equation for electron–phonon scattering. This method not only highlights the high mobility potential of these Sb(V) oxides but also offers deeper insights into the underlying electron–phonon scattering mechanisms ...
Romain Claes, David O. Scanlon
wiley   +1 more source

Directional k-Step Newton Methods in n Variables and its Semilocal Convergence Analysis [PDF]

, 2018
[EN] The directional k-step Newton methods (k a positive integer) is developed for solving a single nonlinear equation in n variables. Its semilocal convergence analysis is established by using two different approaches (recurrent relations and recurrent ...
Abhimanyu Kumar, Eulalia Martinez, Sukhjit Singh, Singh, Sukhjit, D. K. Gupta, Kumar, A., Gupta, D.K., Martínez Molada, Eulalia   +7 more
core   +1 more source

Semilocal Convergence Analysis for MMN-HSS Methods under Hölder Conditions

, 2017
Multi-step modified Newton-HSS (MMN-HSS) methods, which are variants of inexact Newton methods, have been shown to be competitive for solving large sparse systems of nonlinear equations with positive definite Jacobian matrices. Previously, we established
Yang Li, Xue-Ping Guo
core   +1 more source

A new semilocal convergence theorem for Newton's method involving twice Fréchet-differentiability at only one point [PDF]

, 2005
In this study, we provide a new semilocal convergence theorem for Newton's method. It is assumed that an operator is twice continuously Fréchet-differentiable at only one point.
Hu, Zhongyong
core   +1 more source

Expanding the applicability of Newton-Tikhonov method for ill-posed equations

Journal of Numerical Analysis and Approximation Theory, 2014
We present a new semilocal convergence analysis of Newton- Tikhonov methods for solving ill-posed operator equations in a Hilbert space setting. Using more precise majorizing sequences and under the same computational cost as in earlier studies such as [
Ioannis K. Argyros, Santhosh George
doaj   +2 more sources

Third-Order Newton-Type Methods Combined with Vector Extrapolation for Solving Nonlinear Systems

Abstract and Applied Analysis, 2014
We present a third-order method for solving the systems of nonlinear equations. This method is a Newton-type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method.
Wen Zhou, Jisheng Kou
doaj   +1 more source