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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Veröffentlicht in:	Journal of global optimization Jg. 87; H. 2-4; S. 939 - 964
Hauptverfasser:	Yang, Xin, Xu, Lingling
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York Springer US 01.11.2023 Springer
Schlagworte:	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-Zugang:	Volltext
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