Results 21 to 30 of about 98,087 (266)

Chaotic Convergence of Newton’s method

IEEE Transactions on Signal Processing, 2023
<p>Newton's method is considered to be unstable, or worse, chaotic. In this manuscript we show the source of this instability, and present a method to fix the probelm.</p> <p>We also investigate the eigen roots of a modified black-body radiation formula, that seems to explain a connection to quantum mechanics.
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Newton's Method in Mixed Precision

SIAM Review, 2022
Abstract: We investigate the use of reduced precision arithmetic to solve the linear equation for the Newton step. If one neglects the backward error in the linear solve, then well-known convergence theory implies that using single precision in the linear solve has very little negative effect on the nonlinear convergence rate.
openaire   +3 more sources

Gauss–Newton method

, 2018
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"
Magreñán, Á. Alberto, Argyros, Ioannis K   +1 more
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Chaplygin's method is Newton's method

Journal of Mathematical Analysis and Applications, 1978
This method has been extended to ordinary differential equations in [w” by Lusin [6], to ordinary differential equations in Banach spaces by Mlak [8] and to parabolic equations by Mlak [7] and Szarki [15, Sect. 661. In each case a different type of hypotheses is assumed. A formal generalization considered by Wazewski [18] has been found by Schelkunoff [
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CD47 promotes mitogen‐activated protein kinase and epithelial‐to‐mesenchymal transition molecular programs to drive prometastatic phenotypes in non‐small cell lung cancer

Molecular Oncology, EarlyView.
Beyond its role in immune evasion, this study identified that CD47 drives tumor‐intrinsic signaling in non‐small cell lung cancer (NSCLC). Transcriptomic profiling and functional studies revealed that CD47 regulates cell adhesion, migration, and metastasis through an ERK–EMT signaling axis.
Asa P.Y. Lau, Lilian G. Zhai, Ryunosuke Hoshi, Zackary Rousseau, Abraam Zakhary, Yin Fang Wu, Rola M. Saleeb, Heyu Ni, Kelsie L. Thu   +8 more
wiley   +1 more source

Does Long‐Term Lower Extremity Strength Training in Adults With Knee Osteoarthritis and Varus Alignment Reduce Knee Joint Loading During Gait?

Arthritis Care &Research, EarlyView.
Objective We examined whether 18 months of strength training in individuals with knee varus alignment and medial tibiofemoral osteoarthritis (OA) reduced knee joint loads during walking compared to an attention control group. Methods This study was a secondary analysis of a randomized clinical trial that compared the effects of strength training to a ...
Stephen P. Messier, Matthew N. Vigliotti, Paige E. Rice, Brian Pietrosimone, Shannon L. Mihalko, Edward H. Ip, Richard F. Loeser, David J. Hunter, Ali Guermazi, Ryan Hill, Santiago Saldana, Kim L. Bennell, Paul DeVita   +12 more
wiley   +1 more source

Obesity Subtypes and Longitudinal Trajectories of Function Over Seven Years of Follow‐Up: Data From the Multicenter Osteoarthritis Study

Arthritis Care &Research, EarlyView.
Objective Obesity, defined by body mass index (BMI) ≥30 kg/m2, is a risk factor for functional limitations in people with knee osteoarthritis (OA). However, function varies among such individuals. Our objective was to evaluate the implications of obesity subtypes on longitudinal patterns of physical functioning in people with or at risk for knee OA ...
Kristine Godziuk, Sarah Tilley, Michael LaValley, Michael C. Nevitt, Cora E. Lewis, James C. Torner, Tuhina Neogi, for the Multicenter Osteoarthritis Study Group   +7 more
wiley   +1 more source

A second order convergent trial method for a free boundary problem in three dimensions [PDF]

, 2015
The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
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Microengineered Gradient Hydrogels for Mechanobiology

Advanced Healthcare Materials, EarlyView.
Gradient hydrogels are used to mimic the mechanical heterogeneity in native tissues, offering powerful in vitro platforms to study cell‐material interactions in diverse pathophysiological contexts. Here, we present a comprehensive review of the design and experimental considerations for stiffness gradient hydrogels, discussing exemplary achievements ...
Shin Wei Chong, Deepu Ashok, Anna Waterhouse, Marcela M. M. Bilek, Daniele Vigolo   +4 more
wiley   +1 more source

Strain Engineering of Magnetoresistance and Magnetic Anisotropy in CrSBr

Advanced Materials, EarlyView.
Biaxial compressive strain significantly enhances magnetoresistance and critical saturation fields in thin flakes of the 2D magnet CrSBr, along all three crystallographic axes. First‐principles calculations link these effects to strain‐induced increases in exchange interactions and magnetic anisotropy.
Eudomar Henríquez‐Guerra, Alberto M. Ruiz, Marta Galbiati, Álvaro Cortés‐Flores, Daniel Brown, Esteban Zamora‐Amo, Lisa Almonte, Andrei Shumilin, Juan Salvador‐Sánchez, Ana Pérez‐Rodríguez, Iñaki Orue, Andrés Cantarero, Andres Castellanos‐Gomez, Federico Mompeán, Mar Garcia‐Hernandez, Efrén Navarro‐Moratalla, Enrique Diez, Mario Amado, José J. Baldoví, M. Reyes Calvo   +19 more
wiley   +1 more source