✦ LIBER ✦

The asymptotic behavior of an inertial alternating proximal algorithm for monotone inclusions

✍ Scribed by Abdellatif Moudafi

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 252 KB
Volume: 23
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.01.023

No coin nor oath required. For personal study only.

✦ Synopsis

The aim of this paper is to investigate the asymptotic behavior of an inertial alternating algorithm based on the composition of resolvents of monotone operators. The proposed algorithm is a generalization of those proposed in [3] and [1]. As a special case, we also recover the classical alternating minimization algorithm [2], which itself is a natural extension of the alternating projection algorithm of von Neumann (1950) [4]. An application to equilibrium problems is also proposed.