Results 111 to 120 of about 11,594,401 (253)

Convergence of Newton’s method under the gamma condition

, 2017
We provide a semilocal as well as a local convergence analysis of Newton’s method using the gamma condition [1], [10], [11]. Using more precise majorizing sequences than before [4], [8]—[11] and under at least as weak hypotheses, we provide in the ...
Argyros, Ioannis K.
core   +1 more source

Large Language Model‐Based Chatbots in Higher Education

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
The use of large language models (LLMs) in higher education can facilitate personalized learning experiences, advance asynchronized learning, and support instructors, students, and researchers across diverse fields. The development of regulations and guidelines that address ethical and legal issues is essential to ensure safe and responsible adaptation
Defne Yigci, Merve Eryilmaz, Ail K. Yetisen, Savas Tasoglu, Aydogan Ozcan   +4 more
wiley   +1 more source

Newton's method in the context of gradients

Electronic Journal of Differential Equations, 2007
This paper gives a common theoretical treatment for gradient and Newton type methods for general classes of problems. First, for Euler-Lagrange equations Newton's method is characterized as an (asymptotically) optimal variable steepest descent method ...
John W. Neuberger, Janos Karatson
doaj  

Global convergence analysis of Caputo fractional Whittaker method with real world applications

Cubo
The present article deals with the effect of convexity in the study of the well-known Whittaker iterative method, because an iterative method converges to a unique solution \(t^*\) of the nonlinear equation \(\psi(t)=0\) faster when the function's ...
Sapan Kumar Nayak, P. K. Parida
doaj   +1 more source

Newton’s Method without Direct Function Evaluations

, 2007
In this paper, we deal with the problem of solving systems of nonlinear equations. Most of the existed methods facing this problem require precise function and derivative values.
T. N. Grapsa, E. N. Malihoutsaki
core  

Magnetic Field Control Using an Electromagnetic Actuation System with Combined Air‐Core and Metal‐Core Coils

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
An electromagnetic manipulation system enhances magnetic field strength in the Z‐direction for 3D control of microrobots and nanoparticles. Featuring eight metal‐core coils and two air‐core coils arranged hemispherically, it ensures unimpeded workspace access and integrates imaging tools.
Nader Latifi Gharamaleki, Dong‐in Kim, Gyudong Lee, Jin‐Young Kim, Hongsoo Choi   +4 more
wiley   +1 more source

Fast Space-variant Phase Error Compensation and Geometric Correction for Bistatic ISAR Imaging Using a Modified Newton’s Method

Leida xuebao
Bistatic Inverse Synthetic Aperture Radar (Bi-ISAR) has garnered significant attention in the military and civilian domains due to its superior stealth and antijamming capabilities. However, the changing bistatic angle during Bi-ISAR imaging causes space-
Jixiang FU, Chao ZHANG, Wenjie XING, Hongmeng CHEN, Qun YAN, Jun LI, Dan LIU   +6 more
doaj   +1 more source

Quantifying Structure‐Dependent Rigidity of 3D DNA Origami Boxes

Advanced Intelligent Systems, EarlyView.
We investigate the mechanical stability of a hollow 3D DNA origami box during assembly using liquid AFM imaging and finite element simulations. As structural completeness increases from flat sheets through intermediate assemblies to a closed box, rigidity improves.
Judith Zubia‐Aranburu, Reza Zadegan, Jens Vinge Nygaard, Jørgen Kjems, Ramesh Subramani, Mingdong Dong   +5 more
wiley   +1 more source

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

Objectives and Key Results–Driven Multiagent Framework for Mechanical Design and Simulation

Advanced Intelligent Systems, EarlyView.
Objectives and key results (OKR)‐agent, an OKR‐driven multiagent framework, turns a plain‐language engineering goal into completed mechanical simulations. Three peer agents—supervisor, modeler, and simulator—share a compact board of OKR and coordinate external molecular dynamics (MD) and finite‐element solvers through a standardized tool interface. The
Jie Tian, Lin Pang, Jixin Hou, Xiao Sun, James Jaraczewski, Xianyan Chen, Kenan Song, Xiaoming Zhai, Tianming Liu, Keke Tang, Xianqiao Wang   +10 more
wiley   +1 more source