Refinements of some convergence results of the gradient-projection algorithm
Volume 8, Issue 2 (2023), pp. 347–363
Pub. online: 26 July 2023
Type: Article
Received
31 May 2023
31 May 2023
Accepted
24 June 2023
24 June 2023
Published
26 July 2023
26 July 2023
Abstract
In this note we refine some of the results of [$\href{https://mathscinet.ams.org/mathscinet/relay-station?mr=2818926}{18}$] on the gradient-projection algorithm in the infinite-dimensional Hilbert space setting by weakening the conditions imposed on the choices of the parameters in [$\href{https://mathscinet.ams.org/mathscinet/relay-station?mr=2818926}{18}$, Theorems 4.2, 4.3 and 5.2]. In addition, we also show that the relaxed gradient-projection algorithm has a sublinear rate of convergence.