Viscosity modification with parallel inertial two steps forward-backward splitting methods for inclusion problems applied to signal recovery

Watcharaporn Cholamjiak and Hemen Dutta

Chaos, Solitons & Fractals, 2022, vol. 157, issue C

Abstract: In this paper, we introduce a new parallel algorithm by combining viscosity modification with parallel inertial two steps forward-backward splitting methods for approximating a solution of common inclusion problems. The strongly convergent theorems are established under some suitable conditions in Hilbert spaces. The applicability and advantages of the new parallel algorithm are presented by using to solve signal recovering problem in compressed sensing. The efficiency of the algorithm is shown by comparing it with some previous parallel algorithms.

Keywords: Inertial method; Inclusion problem; Parallel algorithm; Forward-backward algorithm; Viscosity method; Signal recovery (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:157:y:2022:i:c:s0960077922000698

DOI: 10.1016/j.chaos.2022.111858

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