Results 1 to 10 of about 6,698,594 (332)

Local convergence of tensor methods. [PDF]

open access: yesMath Program, 2022
In 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 ...
Doikov N, Nesterov Y.
europepmc   +10 more sources

Study of a High Order Family: Local Convergence and Dynamics [PDF]

open access: yesMathematics, 2019
The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a center-Lipschitz condition where the
Cristina Amorós   +5 more
doaj   +5 more sources

Local convergence of behavior across species [PDF]

open access: yesScience, 2020
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.
Toman Barsbai   +2 more
semanticscholar   +6 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

On the Local Convergence of Pattern Search [PDF]

open access: yesSIAM Journal on Optimization, 2003
The authors consider local convergence properties of pattern search as a class of direct search methods for solving nonlinear programming problems. For simplicity, only the unconstrained case \(\min_{x\in\mathbb{R}^n}\,f(x)\) is considered. Numerical tests are given.
Robert Michael Lewis, Virginia Torczon
exaly   +2 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 spectra and pseudospectra [PDF]

open access: yesJournal of Spectral Theory, 2016
We prove local convergence results for the spectra and pseudospectra of sequences of linear operators acting in different Hilbert spaces and converging in generalised strong resolvent sense to an operator with possibly nonempty essential spectrum.
Sabine Bogli
semanticscholar   +7 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

Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces

open access: yesApplied Mathematics and Computation, 2016
In this work we introduce a new form of setting the general assumptions for the local convergence studies of iterative methods in Banach spaces that allows us to improve the convergence domains.
JOSÉ L Hueso   +2 more
exaly   +2 more sources

LOCAL CONVERGENCE FOR SOME THIRD-ORDER ITERATIVE METHODS UNDER WEAK CONDITIONS

open access: yesJournal of the Korean Mathematical Society, 2016
The solutions of equations are usually found using iterative methods whose convergence order is determined by Taylor expansions. In particular, the local convergence of the method we study in this paper is shown under hypotheses reaching the third ...
Santhosh George, Ioannis K Argyros
exaly   +2 more sources

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