Search Results - inertial forward-backward algorithm

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  1. 1

    A Relaxed Forward-Backward-Forward Algorithm with Alternated Inertial Step: Weak and Linear Convergence by Shehu, Yekini, Liu, Lulu, Dong, Qiao-Li, Yao, Jen-Chih

    ISSN: 1566-113X, 1572-9427
    Published: New York Springer US 01.12.2022
    Published in Networks and spatial economics (01.12.2022)
    “…We study the forward-backward-forward splitting method with alternated inertial step in this paper…”
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    Journal Article
  2. 2

    Inertial ForwardBackward Algorithms with Perturbations: Application to Tikhonov Regularization by Attouch, Hedy, Cabot, Alexandre, Chbani, Zaki, Riahi, Hassan

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 01.10.2018
    “…In a Hilbert space, we analyze the convergence properties of a general class of inertial forward…”
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  3. 3

    A modified inertial projected forwardbackward algorithm for convex optimization problems: A modified inertial projected forwardbackward algorithm for convex by Kankam, Kunrada, Inkrong, Papatsara, Cholamjiak, Prasit

    ISSN: 0009-725X, 1973-4409
    Published: Cham Springer International Publishing 01.02.2025
    “…The primary objective of this study is to establish the convergence theorem associated with the modified inertial projected forward…”
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  4. 4

    Convergence of inertial prox-penalization and inertial forward-backward algorithms for solving monotone bilevel equilibrium problems by Balhag, A., Mazgouri, Z., Théra, M.

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 10.09.2025
    Published in Optimization (10.09.2025)
    “… Indeed, two several inertial type methods are suggested: a proximal algorithm and a forward-backward one…”
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  5. 5

    Convergence rate of inertial ForwardBackward algorithm beyond Nesterov’s rule by Apidopoulos, Vassilis, Aujol, Jean-François, Dossal, Charles

    ISSN: 0025-5610, 1436-4646
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2020
    Published in Mathematical programming (01.03.2020)
    “…In this paper we study the convergence of an Inertial ForwardBackward algorithm, with a particular choice of an over-relaxation term…”
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  6. 6

    Convergence of a Relaxed Inertial ForwardBackward Algorithm for Structured Monotone Inclusions by Attouch, Hedy, Cabot, Alexandre

    ISSN: 0095-4616, 1432-0606
    Published: New York Springer US 01.12.2019
    Published in Applied mathematics & optimization (01.12.2019)
    “…In a Hilbert space H , we study the convergence properties of a class of relaxed inertial forwardbackward algorithms…”
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  7. 7

    A strong convergence result involving an inertial forwardbackward algorithm for monotone inclusions by Dong, Qiaoli, Jiang, Dan, Cholamjiak, Prasit, Shehu, Yekini

    ISSN: 1661-7738, 1661-7746, 2730-5422
    Published: Cham Springer International Publishing 01.12.2017
    “… which is a combination of Nesterov’s acceleration scheme and Haugazeau’s algorithm in real Hilbert spaces…”
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  8. 8

    An inertial forwardbackward algorithm for the minimization of the sum of two nonconvex functions by Boţ, Radu Ioan, Csetnek, Ernö Robert, László, Szilárd Csaba

    ISSN: 2192-4406, 2192-4414
    Published: Berlin/Heidelberg Elsevier Ltd 01.02.2016
    Published in EURO journal on computational optimization (01.02.2016)
    “…We propose a forwardbackward proximal-type algorithm with inertial/memory effects for minimizing the sum of a nonsmooth function with a smooth one in the nonconvex setting…”
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    Journal Article
  9. 9

    Forwardbackwardforward algorithms involving two inertial terms for monotone inclusions by Suantai, Suthep, Inkrong, Papatsara, Cholamjiak, Prasit

    ISSN: 2238-3603, 1807-0302
    Published: Cham Springer International Publishing 01.09.2023
    Published in Computational & applied mathematics (01.09.2023)
    “…We come up with a new type of forwardbackwardforward algorithms for monotone inclusion problems based on a self-adaptive technique to avoid the selection…”
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  10. 10

    New inertial forwardbackward algorithm for convex minimization with applications by Kankam, Kunrada, Cholamjiak, Watcharaporn, Cholamjiak, Prasit

    ISSN: 2391-4661, 2391-4661
    Published: De Gruyter 15.02.2023
    Published in Demonstratio mathematica (15.02.2023)
    “…In this work, we present a new proximal gradient algorithm based on Tseng’s extragradient method and an inertial technique to solve the convex minimization problem in real Hilbert spaces…”
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  11. 11

    Effect of shrinking projection and CQ-methods on two inertial forwardbackward algorithms for solving variational inclusion problems by Tuyen, Truong Minh, Hammad, Hasanen A.

    ISSN: 0009-725X, 1973-4409
    Published: Cham Springer International Publishing 01.12.2021
    “… Our algorithms are the combination the inertial forwardbackward with the shrinking of hybrid projection methods…”
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  12. 12

    An Inertial Forward-Backward Algorithm for Monotone Inclusions by Lorenz, Dirk A., Pock, Thomas

    ISSN: 0924-9907, 1573-7683
    Published: Boston Springer US 01.02.2015
    Published in Journal of mathematical imaging and vision (01.02.2015)
    “…In this paper, we propose an inertial forward-backward splitting algorithm to compute a zero of the sum of two monotone operators, with one of the two operators being co-coercive…”
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  13. 13
  14. 14

    Modified Inertial ForwardBackward Algorithm in Banach Spaces and Its Application by Song, Yanlai, Postolache, Mihai

    ISSN: 2227-7390, 2227-7390
    Published: Basel MDPI AG 01.06.2021
    Published in Mathematics (Basel) (01.06.2021)
    “…In this paper, we present a new modified inertial forwardbackward algorithm for finding a common solution of the quasi-variational inclusion problem and the variational inequality problem in a q-uniformly smooth Banach space…”
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  15. 15

    Enhanced Double Inertial ForwardBackward Splitting Algorithm for Variational Inclusion Problems: Applications in Mathematical Integrated Skill Prediction by Jun-On, Nipa, Cholamjiak, Watcharaporn

    ISSN: 2073-8994, 2073-8994
    Published: Basel MDPI AG 01.08.2024
    Published in Symmetry (Basel) (01.08.2024)
    “…This paper introduces a new algorithm that combines the forwardbackward splitting algorithms with a double inertial technique, utilizing the previous three iterations…”
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  16. 16

    Outer reflected forward-backward splitting algorithm with inertial extrapolation step by Shehu, Yekini, Jolaoso, Lateef O., Okeke, C. C., Xu, Renqi

    ISSN: 0233-1934, 1029-4945
    Published: Taylor & Francis 18.11.2025
    Published in 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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  17. 17

    Convergence of an inertial reflected–forwardbackward splitting algorithm for solving monotone inclusion problems with application to image recovery by Izuchukwu, Chinedu, Reich, Simeon, Shehu, Yekini

    ISSN: 0377-0427
    Published: Elsevier B.V 01.05.2025
    “…We first propose a reflected–forwardbackward 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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  18. 18

    Convergence Results of a New Monotone Inertial ForwardBackward Splitting Algorithm Under the Local Hölder Error Bound Condition by Wang, Ting, Liu, Hongwei

    ISSN: 0095-4616, 1432-0606
    Published: New York Springer US 01.04.2022
    Published in Applied mathematics & optimization (01.04.2022)
    “…In this paper, we introduce a new monotone inertial ForwardBackward splitting algorithm (newMIFBS…”
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  19. 19

    A stochastic inertial forward-backward splitting algorithm for multivariate monotone inclusions by Rosasco, Lorenzo, Villa, Silvia, Vũ, Băng Công

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 02.06.2016
    Published in Optimization (02.06.2016)
    “…We propose an inertial forward-backward splitting algorithm to compute a zero of a sum of two monotone operators allowing for stochastic errors in the computation of the operators…”
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  20. 20

    A ForwardBackward Algorithm With Different Inertial Terms for Structured Non-Convex Minimization Problems by László, Szilárd Csaba

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 01.07.2023
    “…We investigate an inertial forwardbackward algorithm in connection with the minimization of the sum of a non-smooth and possibly non-convex and a non-convex differentiable function…”
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