Results 21 to 30 of about 677,232 (187)

A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods [PDF]

Journal of Function Spaces, 2014
We present a semilocal convergence analysis for a uniparametric family of efficient secant-like methods (including the secant and Kurchatov method as special cases) in a Banach space setting (Ezquerro et al., 2000–2012).
Á. A. Magreñán, D. González, Argyros, I.K., González, D. [0000-0001-5282-7251], I. K. Argyros, Magreñán, Á.A. [0000-0002-6991-5706], González, D., Magreñán, Á.A.   +7 more
core   +7 more sources

Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces [PDF]

Journal of Applied Mathematics, 2011
We study a modified Newton's method with fifth-order convergence for nonlinear equations in Banach spaces. We make an attempt to establish the semilocal convergence of this method by using recurrence relations. The recurrence relations for the method are
Liang Chen, Chuanqing Gu, Yanfang Ma
doaj   +2 more sources

Semilocal Convergence of a Multi-Step Parametric Family of Iterative Methods

Symmetry, 2023
In this paper, we deal with a new family of iterative methods for approximating the solution of nonlinear systems for non-differentiable operators. The novelty of this family is that it is a m-step generalization of the Steffensen-type method by updating
Paula Triguero-Navarro, Eva G. Villalba, Eulalia Martínez   +2 more
core   +2 more sources

Semilocal convergence conditions for the secant method, using recurrent functions [PDF]

Journal of Numerical Analysis and Approximation Theory, 2011
Using our new concept of recurrent functions, we present new sufficient convergence conditions for the secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K. Argyros, Saïd Hilout
doaj   +3 more sources

On the semilocal convergence of derivative free methods for solving nonlinear equations [PDF]

Journal of Numerical Analysis and Approximation Theory, 2012
We introduce a Derivative Free Method (DFM) for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for DFM using recurrence relations. Numerical examples validating our theoretical results are also provided
Ioannis K. Argyros, Hongmin Ren
doaj   +3 more sources

An exciting Approach to Theoretical Spectroscopy. [PDF]

Adv Sci (Weinh)
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Raya-Moreno M, Buccheri A, Dasch NA, Farahani N, Gonzalez Oliva I, Gulans A, Hong S, Hossain M, Kleine H, Kuban M, Lubeck S, Maurer B, Pavone P, Peschel F, Popova-Gorelova D, Qiao L, Richter E, Rigamonti S, Pela RR, Schebek M, Sinha K, Speckhard DT, Stutz J, Tillack S, Tumakov D, Užulis J, Voiculescu M, Vona C, Yang M, Draxl C.   +29 more
europepmc   +2 more sources

An improved semilocal convergence analysis for the midpoint method

Journal of Numerical Analysis and Approximation Theory, 2016
We expand the applicability of the midpoint method for approximating a locally unique solution of nonlinear equations in a Banach space setting. Our majorizing sequences are finer than the known results in scientific literature [1,3,4,5,6,7,8,9,10,11,19,
Ioannis K. Argyros, Sanjay K. Khattri
doaj   +3 more sources

vibe-qc: An Open-Source, General-Purpose Electronic-Structure Code for Molecules and Solids Developed With Generative AI. [PDF]

J Comput Chem
vibe‐qc is an open‐source, general‐purpose electronic‐structure code for molecules and solids, developed almost entirely with agentic AI under expert human direction. Molecular and periodic calculations use a common interface. Independent reference calculations form a reusable validation set.
Peintinger MF.
europepmc   +2 more sources

A NOTE ON THE SEMILOCAL CONVERGENCE OF CHEBYSHEV’S METHOD [PDF]

Bulletin of the Australian Mathematical Society, 2012
AbstractIn this paper we develop a Kantorovich-like theory for Chebyshev’s method, a well-known iterative method for solving nonlinear equations in Banach spaces. We improve the results obtained previously by considering Chebyshev’s method as an element of a family of iterative processes.
Diloné, Manuel A., García-Olivo, Martín, Gutiérrez, José M.   +2 more
openaire   +2 more sources

Machine-Learning-Assisted Discovery and Accelerated Synthesis of Metal Phosphosulfides. [PDF]

Small
The synthesizability and band gaps of 909 hypothetical ternary phosphosulfides are evaluated by a combination of density functional theory and multi‐fidelity machine learning. The accelerated material development workflow is extended to the experimental domain by demonstrating a route to high‐throughput synthesis and characterization of virtually any ...
Sanz Rodrigo J, Kryger-Nelson NA, Mittmann LA, Bertin E, Castelli IE, Crovetto A.   +5 more
europepmc   +2 more sources