Results 41 to 50 of about 306,033 (284)

Exploiting Two‐Photon Lithography, Deposition, and Processing to Realize Complex 3D Magnetic Nanostructures

Advanced Functional Materials, EarlyView.
Two‐photon lithography (TPL) enables 3D magnetic nanostructures with unmatched freedom in geometry and material choice. Advances in voxel control, deposition, and functionalization open pathways to artificial spin ices, racetracks, microrobots, and a number of additional technological applications.
Joseph Askey, Arjen van den Berg, Sandra Ruiz Gomez, Claire Donnelly, Dirk Grundler, Sam Ladak   +5 more
wiley   +1 more source

Research on three-step accelerated gradient algorithm in deep learning

Statistical Theory and Related Fields, 2022
Gradient descent (GD) algorithm is the widely used optimisation method in training machine learning and deep learning models. In this paper, based on GD, Polyak's momentum (PM), and Nesterov accelerated gradient (NAG), we give the convergence of the ...
Yongqiang Lian, Yincai Tang, Shirong Zhou   +2 more
doaj   +1 more source

Quadratically converging rational mean iterations

Journal of Mathematical Analysis and Applications, 1991
Several examples of mean iterations (mixing algorithms of means: \(a_{n+1}=M_ 1(a_ n,b_ n),\) \(b_{n+1}=M_ 2(a_ n,b_ n);\) \(n=0,1,2,...;\) in addition to the usual properties of means, also homogeneity \(M_ k(\lambda x,\lambda y)=\lambda M_ k(x,y),\quad k=1,2,\) is supposed) with quadratic convergence \((| a_{n+1}- b_{n+1}| =0(| a_ n-b_ n|^ 2))\) are ...
openaire   +1 more source

Multiple Twinning in Nacre and Aragonite

Advanced Functional Materials, EarlyView.
Electron backscatter diffraction map of a cluster of geologic aragonite, exhibiting single, double, and triple twins. The whole cluster is approximately 2 cm wide. Colors indicate crystal orientations, so that pixels where the a‐, b‐, and c‐axis is perpendicular to the image plane are green, red, and blue, respectively.
Connor A. Schmidt, William O. Nachlas, Bil Schneider, Xiaoming Mao, Eric Tambutté, Alexander A. Venn, Sylvie Tambutté, Pupa U. P. A. Gilbert   +7 more
wiley   +1 more source

Monotone iterative and quasilinearization method for a nonlinear integral impulsive differential equation

AIMS Mathematics
In this paper, we discuss the existence and approximation of solution sequences for a class of nonlinear ordinary differential equations with an impulsive integral condition. Our major methods were the monotone iterative and quasilinearization techniques.
Yan Li, Zihan Rui, Bing Hu
doaj   +1 more source

Convergence Rates for Newton’s Method at Singular Points [PDF]

, 1983
If Newton’s method is employed to find a root of a map from a Banach space into itself and the derivative is singular at that root, the convergence of the Newton iterates to the root is linear rather than quadratic.
Decker, D. W., Keller, H. B., Kelley, C. T.   +2 more
core  

Roll‐to‐Roll Mechanical Exfoliation for Large‐Area van der Waals Films with Preserved Crystallographic Alignment

Advanced Functional Materials, EarlyView.
A roll‐to‐roll exfoliation method is demonstrated that preserves the crystallographic alignment of anisotropic 2D materials over large areas, enabling scalable fabrication of directional electronic and optoelectronic devices. Abstract Anisotropic 2D materials such as black phosphorus (BP), GeS or CrSBr, exhibit direction‐dependent optical and ...
Esteban Zamora‐Amo, Francisco Fernandez‐Canizares, Yigit Sozen, Thomas Pucher, Pedro L Alcázar Ruano, Carmen Munuera, Ryo Ishikawa, Naoya Shibata, María Varela, Der‐Yuh Lin, Bing Wu, Jorge Quereda, Zdenek Sofer, Gabriel Sánchez‐Santolino, Andres Castellanos‐Gomez   +14 more
wiley   +1 more source

Two-step secant type method with approximation of the inverse operator

Karpatsʹkì Matematičnì Publìkacìï, 2013
The two-step secant type method with a consistent approximation of the inverse operator for solving nonlinear equations is proposed. The local convergence of the proposed method is studied and the quadratic convergence order is established.
S.M. Shakhno, H.P. Yarmola
doaj   +3 more sources

Convergence conditions for extreme solutions of an impulsive differential system

AIMS Mathematics
In this paper, we discuss the existence and convergence conditions of extreme solutions for a first-order differential boundary value system with an impulsive integral condition.
Bing Hu, Yikai Liao
doaj   +1 more source

How fast do radial basis function interpolants of analytic functions converge? [PDF]

, 2009
The question in the title is answered using tools of potential theory. Convergence and divergence rates of interpolants of analytic functions on the unit interval are analyzed.
Platte, Rodrigo B.
core