18 citations · 149 across the 24 of their papers we have counts for
4 papers · 2 filters
Additive Schwarz Methods for Convex Optimization as Gradient Methods
Jongho Park
This paper gives a unified convergence analysis of additive Schwarz methods for general convex optimization problems. Resembling to the fact that additive Schwarz methods for linea…
Pseudo-linear Convergence of an Additive Schwarz Method for Dual Total Variation Minimization
Jongho Park
In this paper, we propose an overlapping additive Schwarz method for total variation minimization based on a dual formulation. The -energy convergence of the proposed metho…
Fast Nonoverlapping Block Jacobi Method for the Dual Rudin--Osher--Fatemi Model
Chang-Ock Lee, Jongho Park
We consider nonoverlapping domain decomposition methods for the Rudin--Osher--Fatemi~(ROF) model, which is one of the standard models in mathematical image processing. The image do…
A Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations
Chang-Ock Lee, Jongho Park
In this paper, we consider a primal-dual domain decomposition method for total variation regularized problems appearing in mathematical image processing. The model problem is trans…