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Local convergence of tensor methods. [PDF]

open access: yesMath Program, 2022
AbstractIn this paper, we study local convergence of high-order Tensor Methods for solving convex optimization problems with composite objective. We justify local superlinear convergence under the assumption of uniform convexity of the smooth component, having Lipschitz-continuous high-order derivative. The convergence both in function value and in the
Doikov N, Nesterov Y.
europepmc   +8 more sources

Local convergence of random graph colorings [PDF]

open access: yesCombinatorica, 2015
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 $\sigma$ of $G$ uniformly at random, what can we say about the correlations between the colors assigned to vertices that ...
Coja-Oghlan, Amin   +2 more
core   +7 more sources

(Non)local Γ-convergence

open access: yesBruno Pini Mathematical Analysis Seminar, 2020
We present some long-range interaction models for phase coexistence which have recently appeared in the literature, recalling also their relation to classical interface and capillarity problems.
Serena Dipierro   +2 more
doaj   +2 more sources

Local Convergence of Exquerro-Hernandez Method [PDF]

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2016
Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed.
Măruşter Ştefan
doaj   +3 more sources

Local Convergence and Radius of Convergence for Modified Newton Method [PDF]

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
We investigate the local convergence of modified Newton method, i.e., the classical Newton method in which the derivative is periodically re-evaluated.
Măruşter Ştefan
doaj   +3 more sources

Local convergence of behavior across species [PDF]

open access: yesScience, 2021
Not so different Humans often focus on how different we are from other animals. Certainly, there are some important differences, but more and more we are learning that we differ by degree rather than kind. We see these similarities most clearly when we look at human populations that live a more traditional ...
Toman Barsbai   +2 more
openaire   +5 more sources

Convergence of local supermartingales [PDF]

open access: yesAnnales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2020
We characterize the event of convergence of a local supermartingale. Conditions are given in terms of its predictable characteristics and quadratic variation. The notion of stationarily local integrability plays a key role.
Larsson, Martin, Ruf, Johannes
openaire   +4 more sources

Local weak convergence for PageRank [PDF]

open access: yesThe Annals of Applied Probability, 2020
32 pages, 5 ...
Garavaglia, Alessandro   +2 more
openaire   +4 more sources

Convergence of Derivative-Free Iterative Methods with or without Memory in Banach Space

open access: yesFoundations, 2023
A method without memory as well as a method with memory are developed free of derivatives for solving equations in Banach spaces. The convergence order of these methods is established in the scalar case using Taylor expansions and hypotheses on higher ...
Santhosh George   +2 more
doaj   +1 more source

Convergence Analysis and Dynamical Nature of an Efficient Iterative Method in Banach Spaces

open access: yesMathematics, 2021
We study the local convergence analysis of a fifth order method and its multi-step version in Banach spaces. The hypotheses used are based on the first Fréchet-derivative only. The new approach provides a computable radius of convergence, error bounds on
Deepak Kumar   +3 more
doaj   +1 more source

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