Results 51 to 60 of about 677,232 (187)

Advances in the Semilocal Convergence of Newton’s Method with Real-World Applications [PDF]

Mathematics, 2019
The aim of this paper is to present a new semi-local convergence analysis for Newton’s method in a Banach space setting. The novelty of this paper is that by using more precise Lipschitz constants than in earlier studies and our new idea of restricted convergence domains, we extend the applicability of Newton’s method as follows: The convergence domain
Argyros, Ioannis K., Magreñán, Á. Alberto, Orcos, Lara, Sarría, Íñigo, 0000-0002-2584-9671   +4 more
openaire   +4 more sources

Revealing Hidden Raman Signatures Through Attention‐Based Spectral Unmixing

Advanced Intelligent Systems, EarlyView.
Weak Raman signatures are recovered from background‐dominated spectra using a transformer‐based, reference‐free spectral unmixing AI framework. Self‐attention reconstructs substrate contribution directly from mixed data, enabling reliable extraction of previously inaccessible vibrational features.
Dmitriy A. Poteryayev, Pietro Novelli, Annalisa Coriolano, Riccardo Dettori, Valentina Tozzini, Fabio Beltram, Massimiliano Pontil, Antonio Rossi, Stiven Forti, Camilla Coletti   +9 more
wiley   +1 more source

First‐Principles Design of Cubic Spinel ZnIn2S4 With Enhanced Carrier Transport, Optical Response, and Mechanical Stability for Photocatalytic and Optoelectronic Applications

ChemistryOpen, Volume 15, Issue 11, November 2026.
First‐principles calculations reveal that cubic spinel ZnIn2S4 exhibits stable structural characteristics, an indirect bandgap, efficient electron transport, strong visible‐light optical response, and robust mechanical behavior. The combined electronic, optical, carrier transport, and stability features establish ZnIn2S4 as a promising semiconductor ...
M. Rahman, N. Y. Tanisa, M. M. Roshid, Y. Yildirim, M. S. A. Khan   +4 more
wiley   +1 more source

Center conditions on high order derivatives in the semilocal convergence of Newton's method

, 2015
We modify the classical theory of Kantorovich to analyze the semilocal convergence of Newton's method in Banach spaces under center conditions for high order derivatives. As a consequence, we obtain a modification of the domain of the starting points for
Hernández-Verón, M.A. [0000-0001-5478-2958], Ezquerro, J.A. [0000-0001-8120-167X], Hernández-Verón, M.A., Ezquerro, J.A.   +3 more
core   +1 more source

Order of Convergence and Dynamics of Newton–Gauss-Type Methods

Fractal and Fractional, 2023
On the basis of the new iterative technique designed by Zhongli Liu in 2016 with convergence orders of three and five, an extension to order six can be found in this paper. The study of high-convergence-order iterative methods under weak conditions is of
Ramya Sadananda, Santhosh George, Ioannis K. Argyros, Jidesh Padikkal   +3 more
doaj   +1 more source

Alternative Structures for the Si(111) 7 × 7 Surface: Evidence for a Novel Class of Distorted Honeycomb Reconstructions

physica status solidi (b), Volume 263, Issue 11, November 2026.
It is widely believed that we understand and can calculate the properties of Si and its surfaces. Here our density functional theory (DFT) calculations of a wide range of alternative surface structures for the widely studied and accepted DAS model reveals a new alternative structure, ADH3, that better describes a wide range of experiments. A variety of
F. Matusalem, F. Bechstedt, J. E. Demuth
wiley   +1 more source

Extended Efficient Multistep Solvers for Solving Equations in Banach Spaces

Mathematics
In this paper, we investigate the local and semilocal convergence of an iterative method for solving nonlinear systems of equations. We first establish the conditions under which these methods converge locally to the solution.
Ramandeep Behl, Ioannis K. Argyros, Sattam Alharbi   +2 more
doaj   +1 more source

A Practical Guide to First‐Principles Calculations for Pseudocapacitive Materials: From Electrochemical Experiments to Atomistic Understanding

ChemElectroChem, Volume 13, Issue 20, 16 October 2026.
Electrochemical experiments reveal what happens, whereas first principles calculations explain why. Emerging computational electrochemistry is bridging these perspectives, enabling quantitative understanding of electrode/electrolyte interfaces and enabling the rational design of next‐generation energy storage materials.
Kenji Oqmhula, Ryo Maezono, Kenta Hongo
wiley   +1 more source

Semilocal Convergence for new Chebyshev-type iterative methods [PDF]

, 2019
[EN] In this paper, the convergence of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings.
Hueso, José L., Kumar, Abhimanyu, Gupta, D.K., Cevallos, Fabricio, Martínez Molada, Eulalia   +4 more
core  

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