Inertial Forward–Backward Algorithms with Perturbations: Application to Tikhonov Regularization

In a Hilbert space, we analyze the convergence properties of a general class of inertial forward–backward algorithms in the presence of perturbations, approximations, errors. These splitting algorithms aim to solve, by rapid methods, structured convex minimization problems. The function to be minimi...

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Vydáno v:	Journal of optimization theory and applications Ročník 179; číslo 1; s. 1 - 36
Hlavní autoři:	Attouch, Hedy, Cabot, Alexandre, Chbani, Zaki, Riahi, Hassan
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.10.2018 Springer Nature B.V Springer Verlag
Témata:	Algorithms Applications of Mathematics Approximation Calculus of Variations and Optimal Control; Optimization Coefficients Convergence Engineering Extrapolation Hilbert space Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Optimization and Control Regularization Theory of Computation Accelerated Nesterov method FISTA 65K05 Inertial forward–backward algorithms 90C25 49M37 Perturbations Tikhonov regularization Structured convex optimization
ISSN:	0022-3239, 1573-2878
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