A Forward–Backward Algorithm With Different Inertial Terms for Structured Non-Convex Minimization Problems

We investigate an inertial forward–backward algorithm in connection with the minimization of the sum of a non-smooth and possibly non-convex and a non-convex differentiable function. The algorithm is formulated in the spirit of the famous FISTA method; however, the setting is non-convex and we allow...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 198; no. 1; pp. 387 - 427
Main Author:	László, Szilárd Csaba
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.07.2023 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Convergence Critical point Engineering Global optimization Image restoration Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Regularization Sequences Theory of Computation Global optimization Non-convex optimization KL exponent Abstract convergence theorem 90C30 Convergence rate 65K10 Inertial proximal-gradient algorithm 90C26 Kurdyka–Łojasiewicz inequality
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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