Výsledky vyhledávání - preconditions forward-backward splitting algorithm
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Convergence Results of a New Monotone Inertial Forward–Backward Splitting Algorithm Under the Local Hölder Error Bound Condition
ISSN: 0095-4616, 1432-0606Vydáno: New York Springer US 01.04.2022Vydáno v Applied mathematics & optimization (01.04.2022)“…In this paper, we introduce a new monotone inertial Forward–Backward splitting algorithm (newMIFBS…”
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Convergence analysis of a variable metric forward–backward splitting algorithm with applications
ISSN: 1029-242X, 1025-5834, 1029-242XVydáno: Cham Springer International Publishing 20.05.2019Vydáno v Journal of inequalities and applications (20.05.2019)“…The forward–backward splitting algorithm is a popular operator-splitting method for solving monotone inclusion of the sum of a maximal monotone operator and an inverse strongly monotone operator…”
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Incorporating history and deviations in forward–backward splitting
ISSN: 1017-1398, 1572-9265, 1572-9265Vydáno: New York Springer US 01.08.2024Vydáno v Numerical algorithms (01.08.2024)“…We propose a variation of the forward–backward splitting method for solving structured monotone inclusions…”
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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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New analysis of linear convergence of gradient-type methods via unifying error bound conditions
ISSN: 0025-5610, 1436-4646Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020Vydáno v Mathematical programming (01.03.2020)“…This paper reveals that a common and central role, played in many error bound (EB) conditions and a variety of gradient-type methods, is a residual measure operator…”
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A Proximal Iteration for Deconvolving Poisson Noisy Images Using Sparse Representations
ISSN: 1057-7149, 1941-0042Vydáno: New York, NY IEEE 01.02.2009Vydáno v IEEE transactions on image processing (01.02.2009)“…We propose an image deconvolution algorithm when the data is contaminated by Poisson noise…”
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An inertial forward–backward splitting method for solving inclusion problems in Hilbert spaces
ISSN: 1661-7738, 1661-7746, 2730-5422Vydáno: Cham Springer International Publishing 01.03.2018Vydáno v Fixed point theory and algorithms for sciences and engineering (01.03.2018)“… For solving this problem, we propose an inertial forward–backward splitting algorithm involving an extrapolation factor…”
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A Forward−Backward Splitting Equivalent Source Method Based on S−Difference
ISSN: 2076-3417, 2076-3417Vydáno: Basel MDPI AG 01.01.2024Vydáno v Applied sciences (01.01.2024)“… Numerical simulations of single source and coherent source sound fields were conducted under different frequency conditions to analyze the performance of the forward-backward splitting regularization…”
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Single-particle reconstruction in cryo-EM based on three-dimensional weighted nuclear norm minimization
ISSN: 0031-3203Vydáno: Elsevier Ltd 01.11.2023Vydáno v Pattern recognition (01.11.2023)“…•Firstly, to overcome the over-smooth and the staircase effects of the TV-based reconstruction models, we apply the low rank-based model to better suppress the…”
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A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization
ISSN: 1052-6234, 1095-7189Vydáno: Philadelphia Society for Industrial and Applied Mathematics 01.01.2014Vydáno v SIAM journal on optimization (01.01.2014)“…) of the two potentials. Its time dicretization naturally leads to the introduction of forward-backward splitting algorithms with inertial features…”
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Enhanced Double Inertial Forward–Backward Splitting Algorithm for Variational Inclusion Problems: Applications in Mathematical Integrated Skill Prediction
ISSN: 2073-8994, 2073-8994Vydáno: Basel MDPI AG 01.08.2024Vydáno v Symmetry (Basel) (01.08.2024)“…This paper introduces a new algorithm that combines the forward–backward splitting algorithms with a double inertial technique, utilizing the previous three iterations…”
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A modified forward‐backward splitting methods for the sum of two monotone operators with applications to breast cancer prediction
ISSN: 0170-4214, 1099-1476Vydáno: Freiburg Wiley Subscription Services, Inc 15.01.2023Vydáno v Mathematical methods in the applied sciences (15.01.2023)“…This work proposes a modified forward‐backward splitting algorithm combining an inertial technique for solving the monotone variational inclusion problem…”
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A New Version of Forward-Backward-Forward Splitting Algorithm For Monotone Inclusions
ISSN: 2238-3603, 1807-0302Vydáno: Heidelberg Springer Nature B.V 01.10.2025Vydáno v Computational & applied mathematics (01.10.2025)“…This paper considers a new version of the forward-backward-forward splitting algorithm to find a zero of the sum of two monotone operators in real Hilbert spaces…”
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Relaxed Inertial Projective Forward-backward Splitting Algorithms for Regularized Least Square Problems
ISSN: 1310-1331, 2367-5535Vydáno: 01.01.2024Vydáno v Proceedings of the Bulgarian Academy of Sciences (01.01.2024)“… Modified inertial forward-backward splitting algorithms for solving variational inclusion problems are introduced to apply to solve the LASSO problem for image restoration and signal recovery…”
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On the inertial forward-backward splitting technique for solving a system of inclusion problems in Hilbert spaces
ISSN: 0233-1934, 1029-4945Vydáno: Philadelphia Taylor & Francis 02.12.2021Vydáno v Optimization (02.12.2021)“… By using the inertial forward-backward splitting technique, we propose and analyze an algorithm…”
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A New Version of Forward-Backward-Forward Splitting Algorithm For Monotone Inclusions: A New Version of Forward-Backward-Forward Splitting
ISSN: 2238-3603, 1807-0302Vydáno: Cham Springer International Publishing 14.07.2025Vydáno v Computational & applied mathematics (14.07.2025)“…This paper considers a new version of the forward-backward-forward splitting algorithm to find a zero of the sum of two monotone operators in real Hilbert spaces…”
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Splitting algorithms for solving state-dependent maximal monotone inclusion problems
ISSN: 0233-1934, 1029-4945Vydáno: Taylor & Francis 04.07.2025Vydáno v Optimization (04.07.2025)“…We consider the state-dependent maximal monotone inclusion problem and propose forward-backward splitting algorithms for solving…”
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A Hybrid Forward–Backward Algorithm and Its Optimization Application
ISSN: 2227-7390, 2227-7390Vydáno: Basel MDPI AG 01.03.2020Vydáno v Mathematics (Basel) (01.03.2020)“…In this paper, we study a hybrid forward–backward algorithm for sparse reconstruction…”
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A bi-inertial Mann projective forward-backward splitting algorithm for variational inclusion problems with application to lung cancer screening
ISSN: 2008-949X, 2008-949XVydáno: 01.01.2025Vydáno v Journal of Mathematics and Computer Science (01.01.2025)Získat plný text
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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 operator and a monotone and Lipschitz continuous operator in a real Hilbert space…”
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