Superiorization methodology and perturbation resilience of inertial proximal gradient algorithm with application to signal recovery

In this paper, we construct a novel algorithm for solving non-smooth composite optimization problems. By using inertial technique, we propose a modified proximal gradient algorithm with outer perturbations, and under standard mild conditions, we obtain strong convergence results for finding a soluti...

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Bibliographic Details
Published in:	The Journal of supercomputing Vol. 76; no. 12; pp. 9456 - 9477
Main Authors:	Pakkaranang, Nuttapol, Kumam, Poom, Berinde, Vasile, Suleiman, Yusuf I.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2020 Springer Nature B.V
Subjects:	Algorithms Compilers Computer Science High Performance Computing in Science and Engineering - CMMSE-2019 Interpreters Optimization Perturbation Processor Architectures Programming Languages Recovery Resilience Signal reconstruction Composite optimization problems Bounded perturbation resilience Superiorization methodology 47H09 65K10 49M37 47H05 Proximal gradient algorithm Inertial algorithm
ISSN:	0920-8542, 1573-0484
Online Access:	Get full text
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