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...

Full description

Saved in:

Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 179; no. 1; pp. 1 - 36
Main Authors:	Attouch, Hedy, Cabot, Alexandre, Chbani, Zaki, Riahi, Hassan
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2018 Springer Nature B.V Springer Verlag
Subjects:	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
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Be the first to leave a comment!