Some accelerated alternating proximal gradient algorithms for a class of nonconvex nonsmooth problems

In this paper, we study a class of nonconvex and nonsmooth optimization problems, whose objective function can be split into two separable terms and one coupling term. Alternating proximal gradient methods combining with extrapolation are proposed to solve such problems. Under some assumptions, we p...

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Bibliographic Details

Published in:	Journal of global optimization Vol. 87; no. 2-4; pp. 939 - 964
Main Authors:	Yang, Xin, Xu, Lingling
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2023 Springer
Subjects:	Algorithms Computer Science Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Real Functions Alternating minimization Nonconvex-nonsmooth optimization Accelerated method Kurdyka–Łojasiewicz (KŁ) property Convergence analysis
ISSN:	0925-5001, 1573-2916
Online Access:	Get full text
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