Results 31 to 40 of about 11,063,462 (189)

Accelerated convergence in Newton's method for approximating square roots [PDF]

, 2005
In this paper, we construct a modification of Newton's method to accelerate the convergence of this method to the approximation of the positive square root of a positive real number.
Romero, N. [0000-0002-0653-560X], Romero, N., Hernández, M.A. [0000-0001-5478-2958], Hernández, M.A.   +3 more
core   +1 more source

A new semilocal convergence theorem for Newton's method [PDF]

, 1997
A new semilocal convergence theorem for Newton's method is established for solving a nonlinear equation F(x) = 0, defined in Banach spaces. It is assumed that the operator F is twice Fréchet differentiable, and F″ satisfies a Lipschitz type condition ...
JoséM Gutiérrez, Gutiérrez, JoséM, Gutiérrez, J.M. [0000-0002-0434-7250]   +2 more
core   +1 more source

Adaptive and Highly Efficient Thermoregulation Based on Multi‐Dimensional Janus Film

Advanced Science, EarlyView.
A switchable TiO2/MXene/PDMS Janus membrane enables dual‐mode radiative cooling and solar heating, achieving sub‐ambient cooling of 17.89°C and above‐ambient heating of 13.82°C. Adaptive temperature regulation was demonstrated with a low power integrated autonomous smart curtain system, providing a sustainable and energy‐efficient alternative for ...
Yuqing Shi, Yuting Fu, Xiong Yu, Yuao Guo, Yanjun Liu, Dan Luo, Yuanjing Lin   +6 more
wiley   +1 more source

Real dynamics for damped Newton's method applied to cubic polynomials

, 2015
In this paper we study the real dynamics of the damped Newton's methods applied to cubic polynomials, but instead of taking a value of the damping factor λ∈(0,1), we consider all values of λ∈R.
Gutiérrez, José Manuel [0000-0002-0434-7250], Magreñán, Ángel Alberto [0000-0002-6991-5706]   +1 more
core   +1 more source

A modification of the classical Kantorovich conditions for Newton's method [PDF]

, 2001
In the classical Kantorovich theorem on Newton's method it is assumed that the second Fréchet derivative of the involved operator satisfies the condition ||F″(x)||⩽K in an appropiate domain.
Hernández, null [0000-0001-5478-2958], Hernández, M.A.   +1 more
core   +1 more source

From Folding Mechanics to Robotic Function: A Unified Modeling Framework for Compliant Origami

Advanced Science, EarlyView.
A geometry‐consistent DDG framework captures compliant origami deformation from rigid‐like folding to soft panel bending. By tuning crease and panel stiffness, bistable snap‐through responses transform into smooth monostable deformation, enabling programmable stability and robot‐scale locomotion.
Bohan Zhang, Bo Wang, Huajiang Ouyang, Zhigang Wu, Haohao Bi, Jiawei Xu, Mingchao Liu, Weicheng Huang   +7 more
wiley   +1 more source

A semilocal convergence result for Newton's method under generalized conditions of Kantorovich [PDF]

, 2014
From Kantorovich's theory we establish a general semilocal convergence result for Newton's method based fundamentally on a generalization required to the second derivative of the operator involved. As a consequence, we obtain a modification of the domain
Hernández-Verón, M.A. [0000-0001-5478-2958], González, D. [0000-0001-5282-7251], Ezquerro, J.A. [0000-0001-8120-167X]   +2 more
core   +1 more source

Decoupling Electronic–Ionic Transport and Catalysis Enables High‐Performance, Chemically Stable Sr‐Free Air Electrodes for High‐Temperature Solid Oxide Cells

Advanced Science, EarlyView.
A Sr‐free air electrode for high‐temperature solid oxide cells is designed by independently tailoring electronic conduction, ionic transport, and surface catalysis using complementary Sr‐free phases and infiltrated nanocatalysts. It delivers performance comparable to state‐of‐the‐art Sr‐containing electrodes while completely suppressing Cr‐induced ...
Ji‐eun Won, Wooseok Lee, Jaehyun Seo, Dogeun Yoon, Ho‐Il Ji, HeeChan Kang, Jun Hyuk Kim, Hwitae Kim, Ji Wan Kim, Jongsup Hong, Kyung Joong Yoon   +10 more
wiley   +1 more source

Large‐Area Noise‐Resilient Multiplexing Triboelectric Biomechanical Sensing on Clothing for High‐Precision Full‐Body Motion Capture in Wearables

Advanced Science, EarlyView.
A large‐area, noise‐resilient multiplexed triboelectric sensing garment based on a multilayer shielded architecture and SnS2 nanoflower‐engineered hybrid materials enables interference‐suppressed, high‐fidelity full‐body motion tracking, achieving 0.13% signal misrecognition, 57 dB electromagnetic noise attenuation, and >1.5 N threshold force, while ...
Beibei Shao, Ming‐Han Lu, Wei‐Chen Peng, Wei‐Chun Yang, Yi‐Ting Chen, Jiun‐Wei Fong, Tzu‐Ching Lu, Tai‐Chen Wu, Zhi‐Xian Yan, Kai‐Yuan Hsiao, Jiann‐Yeu Chen, Ming‐Yen Lu, Heng‐Jui Liu, Ruiyuan Liu, Ying‐Chih Lai   +14 more
wiley   +1 more source

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source