Additive Schwarz methods for convex optimization as gradient methods
J Park - SIAM Journal on Numerical Analysis, 2020 - SIAM
This paper gives a unified convergence analysis of additive Schwarz methods for general
convex optimization problems. Resembling the fact that additive Schwarz methods for linear …
convex optimization problems. Resembling the fact that additive Schwarz methods for linear …
Additive Schwarz methods for convex optimization with backtracking
J Park - Computers & Mathematics with Applications, 2022 - Elsevier
This paper presents a novel backtracking strategy for additive Schwarz methods for general
convex optimization problems as an acceleration scheme. The proposed backtracking …
convex optimization problems as an acceleration scheme. The proposed backtracking …
Accelerated additive Schwarz methods for convex optimization with adaptive restart
J Park - Journal of Scientific Computing, 2021 - Springer
Based on an observation that additive Schwarz methods for general convex optimization
can be interpreted as gradient methods, we propose an acceleration scheme for additive …
can be interpreted as gradient methods, we propose an acceleration scheme for additive …
Fast gradient methods for uniformly convex and weakly smooth problems
J Park - Advances in Computational Mathematics, 2022 - Springer
In this paper, acceleration of gradient methods for convex optimization problems with weak
levels of convexity and smoothness is considered. Starting from the universal fast gradient …
levels of convexity and smoothness is considered. Starting from the universal fast gradient …
Additive Schwarz Methods for Convex Optimization–Convergence Theory and Acceleration
J Park - Domain Decomposition Methods in Science and …, 2023 - Springer
Additive Schwarz Methods for Convex Optimization – Convergence Theory and Acceleration
Page 1 Additive Schwarz Methods for Convex Optimization – Convergence Theory and …
Page 1 Additive Schwarz Methods for Convex Optimization – Convergence Theory and …