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   Articles with "backward splitting" as a keyword



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On the Strong Convergence of Forward-Backward Splitting in Reconstructing Jointly Sparse Signals

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recommendations! Published in 2021 at "Set-Valued and Variational Analysis"

DOI: 10.1007/s11228-021-00603-2

Abstract: We consider the problem of reconstructing a set of sparse vectors sharing a common sparsity pattern from incomplete measurements. To take account of the joint sparsity and promote the coupling of nonvanishing components, we employ… read more here.

Keywords: convergence forward; forward backward; backward splitting; jointly sparse ... See more keywords

Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators

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recommendations! Published in 2019 at "Arabian Journal of Mathematics"

DOI: 10.1007/s40065-018-0236-2

Abstract: In this paper, we construct a forward–backward splitting algorithm for approximating a zero of the sum of an $$\alpha $$ α -inverse strongly monotone operator and a maximal monotone operator. The strong convergence theorem is… read more here.

Keywords: forward backward; monotone; backward splitting; monotone operators ... See more keywords
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Strong convergence of a forward–backward splitting method with a new step size for solving monotone inclusions

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recommendations! Published in 2019 at "Computational and Applied Mathematics"

DOI: 10.1007/s40314-019-0855-z

Abstract: In this paper, our interest is in investigating the monotone inclusion problems in the framework of real Hilbert spaces. To solve this problem, we propose a new modified forward–backward splitting method using the viscosity method… read more here.

Keywords: forward backward; backward splitting; strong convergence; splitting method ... See more keywords
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Strong convergence of the forward–backward splitting method with multiple parameters in Hilbert spaces

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recommendations! Published in 2018 at "Optimization"

DOI: 10.1080/02331934.2017.1411485

Abstract: Abstract Many problems arising from machine learning, signal & image recovery, and compressed sensing can be casted into a monotone inclusion problem for finding a zero of the sum of two monotone operators. The forward–backward… read more here.

Keywords: splitting method; convergence; convergence forward; forward backward ... See more keywords
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Strong convergence of a generalized forward–backward splitting method in reflexive Banach spaces

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recommendations! Published in 2020 at "Optimization"

DOI: 10.1080/02331934.2020.1812607

Abstract: In this paper, we study the so-called generalized monotone quasi-inclusion problem which is a generalization and extension of well-known monotone quasi-inclusion problem. We propose a forward–backw... read more here.

Keywords: splitting method; generalized forward; forward backward; convergence generalized ... See more keywords

Two Relaxed Inertial Forward–Reflected–Backward Splitting Algorithms With Momentum Terms

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recommendations! Published in 2025 at "Journal of Mathematics"

DOI: 10.1155/jom/7014819

Abstract: In this paper, to solve the monotone inclusion problem consisting of the sum of two monotone operators in Hilbert spaces, we propose and study two modifications of Malitsky–Tam’s forward–reflection–backward splitting methods with double momentum terms.… read more here.

Keywords: malitsky tam; inertial version; momentum terms; relaxed inertial ... See more keywords

A Forward−Backward Splitting Equivalent Source Method Based on S−Difference

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recommendations! Published in 2024 at "Applied Sciences"

DOI: 10.3390/app14031086

Abstract: The regularization method has a direct impact on the accuracy of the reconstructed sound field in the process of inverse calculation of near−field acoustic holography using the equivalent source method. To expand the frequency range… read more here.

Keywords: method; source method; equivalent source; source ... See more keywords

An Inertial Forward–Backward Splitting Method for Solving Modified Variational Inclusion Problems and Its Application

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recommendations! Published in 2023 at "Mathematics"

DOI: 10.3390/math11092107

Abstract: In this paper, we propose an inertial forward–backward splitting method for solving the modified variational inclusion problem. The concept of the proposed method is based on Cholamjiak’s method. and Khuangsatung and Kangtunyakarn’s method. Cholamjiak’s inertial… read more here.

Keywords: splitting method; forward backward; backward splitting; inertial forward ... See more keywords

Enhanced Double Inertial Forward-Backward Splitting Algorithm for Variational Inclusion Problems: Applications in Mathematical Integrated Skill Prediction

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recommendations! Published in 2024 at "Symmetry"

DOI: 10.3390/sym16081091

Abstract: This paper introduces a new algorithm that combines the forward–backward splitting algorithms with a double inertial technique, utilizing the previous three iterations. The weak convergence theorem is established under certain mild conditions in a Hilbert… read more here.

Keywords: skill; forward backward; enhanced double; backward splitting ... See more keywords