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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
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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
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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