Results 21 to 30 of about 6,698,594 (332)

On the Local Convergence of Two-Step Newton Type Method in Banach Spaces under Generalized Lipschitz Conditions

open access: yesMathematics, 2021
The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces.
Akanksha Saxena   +4 more
doaj   +1 more source

Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations

open access: yesComputation, 2023
A local and semi-local convergence is developed of a class of iterative methods without derivatives for solving nonlinear Banach space valued operator equations under the classical Lipschitz conditions for first-order divided differences.
Samundra Regmi   +3 more
doaj   +1 more source

On Convergence of FedProx: Local Dissimilarity Invariant Bounds, Non-smoothness and Beyond [PDF]

open access: yesNeural Information Processing Systems, 2022
The FedProx algorithm is a simple yet powerful distributed proximal point optimization method widely used for federated learning (FL) over heterogeneous data.
Xiao-Tong Yuan, P. Li
semanticscholar   +1 more source

Retinal Microaneurysms Detection Using Local Convergence Index Features [PDF]

open access: yesIEEE Transactions on Image Processing, 2017
Retinal microaneurysms (MAs) are the earliest clinical sign of diabetic retinopathy disease. Detection of MAs is crucial for the early diagnosis of diabetic retinopathy and prevention of blindness. In this paper, a novel and reliable method for automatic
B. Dashtbozorg   +3 more
semanticscholar   +1 more source

Comparison between Two Competing Newton-Type High Convergence Order Schemes for Equations on Banach Spaces

open access: yesFoundations, 2023
We carried out a local comparison between two ninth convergence order schemes for solving nonlinear equations, relying on first-order Fréchet derivatives.
Ioannis K. Argyros   +2 more
doaj   +1 more source

Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential [PDF]

open access: yesCommunications in Partial Differential Equations
The main goal of this paper is to establish the nonlocal-to-local convergence of strong solutions to a Navier–Stokes–Cahn–Hilliard model with singular potential describing immiscible, viscous two-phase flows with matched densities, which is referred to ...
Christoph Hurm, Patrik Knopf, A. Poiatti
semanticscholar   +1 more source

Convergence to equilibrium in local interaction games [PDF]

open access: yesACM SIGecom Exchanges, 2009
We study a simple game-theoretic model for the spread of an innovation in a network. The diffiusion of the innovation is modeled as the dynamics of a coordination game in which the adoption of a common strategy between players has a higher payoff. Classical results in game theory provide a simple condition for the innovation to spread through the ...
Andrea Montanari, Amin Saberi
openaire   +1 more source

On Local Convergence of the Method of Alternating Projections [PDF]

open access: yesFoundations of Computational Mathematics, 2015
The method of alternating projections is a classical tool to solve feasibility problems. Here we prove local convergence of alternating projections between subanalytic sets $A,B$ under a mild regularity hypothesis on one of the sets. We show that the speed of convergence is O$(k^{-ρ})$ for some $ρ\in (0,\infty)$.
Noll, Dominikus, Rondepierre, Aude
openaire   +4 more sources

Local Convergence of Random Graph Colorings [PDF]

open access: yesCombinatorica, 2017
Let $G=G(n,m)$ be a random graph whose average degree $d=2m/n$ is below the $k$-colorability threshold. If we sample a $k$-coloring $σ$ of $G$ uniformly at random, what can we say about the correlations between the colors assigned to vertices that are far apart? According to a prediction from statistical physics, for average degrees below the so-called
Coja-Oghlan, Amin   +2 more
openaire   +5 more sources

On the Convergence of Local Expansions of Layer Potentials [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2013
In a recently developed quadrature method (quadrature by expansion or QBX), it was demonstrated that weakly singular or singular layer potentials can be evaluated rapidly and accurately on surface by making use of local expansions about carefully chosen off-surface points.
Charles L. Epstein   +2 more
openaire   +2 more sources

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