Výsledky vyhledávání - "reflected forward-backward splitting algorithm"
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Outer reflected forward-backward splitting algorithm with inertial extrapolation step
ISSN: 0233-1934, 1029-4945Vydáno: Taylor & Francis 18.11.2025Vydáno v Optimization (18.11.2025)“…This paper studies an outer reflected forward-backward splitting algorithm with an inertial step to find a zero of the sum of three monotone operators composing the maximal monotone operator…”
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Convergence of an inertial reflected–forward–backward splitting algorithm for solving monotone inclusion problems with application to image recovery
ISSN: 0377-0427Vydáno: Elsevier B.V 01.05.2025Vydáno v Journal of computational and applied mathematics (01.05.2025)“…We first propose a reflected–forward–backward splitting algorithm with two inertial effects for solving monotone inclusions and then establish that the sequence of iterates it generates converges weakly in a real Hilbert space to a zero…”
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Perturbed reflected forward backward splitting algorithm for monotone inclusion
ISSN: 1007-5704Vydáno: Elsevier B.V 01.03.2025Vydáno v Communications in nonlinear science & numerical simulation (01.03.2025)“…In this paper, we investigate a new reflected forward–backward splitting algorithm with self-adaptive step sizes to solve monotone inclusion problems…”
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Convergence analysis of the stochastic reflected forward–backward splitting algorithm
ISSN: 1862-4472, 1862-4480Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022Vydáno v Optimization letters (01.12.2022)“…We propose and analyze the convergence of a novel stochastic algorithm for solving monotone inclusions that are the sum of a maximal monotone operator and a…”
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Three-operator reflected forward-backward splitting algorithm with double inertial effects
ISSN: 1055-6788, 1029-4937Vydáno: Abingdon Taylor & Francis 03.03.2024Vydáno v Optimization methods & software (03.03.2024)“…In this paper, we propose a reflected forward-backward splitting algorithm with two different inertial extrapolations to find a zero of the sum of three monotone operators consisting of the maximal…”
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Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints
ISSN: 0885-7474, 1573-7691Vydáno: New York Springer US 01.12.2025Vydáno v Journal of scientific computing (01.12.2025)“…In this paper, we derive a Fast Reflected Forward-Backward (Fast RFB) algorithm to solve the problem of finding a zero of the sum of a maximally monotone…”
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Convergence analysis of the stochastic reflected forward-backward splitting algorithm
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 17.02.2021Vydáno v arXiv.org (17.02.2021)“…We propose and analyze the convergence of a novel stochastic algorithm for solving monotone inclusions that are the sum of a maximal monotone operator and a…”
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An outer reflected forward-backward splitting algorithm for solving monotone inclusions
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 26.09.2020Vydáno v arXiv.org (26.09.2020)“… reflected forward-backward splitting algorithm. Under mild conditions on the iterative parameters, we prove the convergence of the proposed algorithm…”
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Four-operator splitting algorithms for solving monotone inclusions
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 17.04.2022Vydáno v arXiv.org (17.04.2022)“…-backward splitting algorithm, respectively. As applications, we apply the proposed algorithms to solve the monotone inclusions problem involving a finite sum of maximally monotone operators…”
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