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Local convergence of some Newton-type methods for nonlinear systems
In order to approximate the solutions of nonlinear systems\[F(x)=0,\]with \(F:D\subseteq {\mathbb R}^{n}\rightarrow {\mathbb R}^{n}\),\(n\in {\Bbb N}\), we consider the method\begin{align*}x_{k+1} & =x_{k}-A_{k}F(x_{k})\label{f1.4}\\A_{k+1} & =A_{k}(2I-F^
Ion Păvăloiu
doaj +2 more sources
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 +8 more
wiley +1 more source
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 +12 more
wiley +1 more source
Various Newton-type iterative methods for solving nonlinear equations
The aim of the present paper is to introduce and investigate new ninth and seventh order convergent Newton-type iterative methods for solving nonlinear equations.
Singh, Akhilesh Kumar +2 more
core +1 more source
Globalized inexact proximal Newton-type methods for nonconvex composite functions
Optimization problems with composite functions consist of an objective function which is the sum of a smooth and a (convex) nonsmooth term. This particular structure is exploited by the class of proximal gradient methods and some of their generalizations
Lechner, Theresa, Kanzow, Christian
core +1 more source
Interface Effects in Ultrathin Silicon on Insulator Films
This work establishes a systematic framework to discriminate how bulk and interface phenomena affect charge transport in ultrathin P‐doped silicon‐on‐insulator (SOI) films. For Si films below 15 nm, electrical characterization demonstrates that interface states drive charge transport, shifting the metal‐insulator transition (MIT) critical dopant ...
Andrea Pulici +8 more
wiley +1 more source
On Newton-type methods for multiple roots with cubic convergence
We introduce two families of Newton-type methods for multiple roots with cubic convergence. A further Newton-type method for multiple roots with cubic convergence is presented that is related to quadrature.
Homeier, H. H. H., Homeier, H.H.H.
core +1 more source
Strain Engineering of Magnetoresistance and Magnetic Anisotropy in CrSBr
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 +19 more
wiley +1 more source
Proximal Newton-Type Methods for Minimizing Composite Functions [PDF]
We generalize Newton-type methods for minimizing smooth functions to handle a sum of two convex functions: a smooth function and a nonsmooth function with a simple proximal mapping. We show that the resulting proximal Newton-type methods inherit the desirable convergence behavior of Newton-type methods for minimizing smooth functions, even when search ...
Jason D. Lee +2 more
openaire +2 more sources
Métodos de Krylov-Newton aplicados à simulação numérica de reservatórios de petróleo [PDF]
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro Tecnológico.A simulação do processo de extração de óleo em um reservatório de petróleo é um problema complexo que envolve o escoamento multifásico em um meio poroso de geometria ...
Lucianetti, Rodrigo Machado
core

