A unified Douglas–Rachford algorithm for generalized DC programming
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Global Optimization"
DOI: 10.1007/s10898-021-01079-y
Abstract: We consider a class of generalized DC (difference-of-convex functions) programming, which refers to the problem of minimizing the sum of two convex (possibly nonsmooth) functions minus one smooth convex part. To efficiently exploit the structure… read more here.
Keywords: algorithm generalized; douglas rachford; unified douglas; algorithm ... See more keywords
Convergence analysis of two-step inertial Douglas-Rachford algorithm and application
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-021-01554-5
Abstract: Monotone inclusion problems are crucial to solve engineering problems and problems arising in different branches of science. In this paper, we propose a novel two-step inertial Douglas-Rachford algorithm to solve the monotone inclusion problem of… read more here.
Keywords: two step; step inertial; rachford algorithm; inertial douglas ... See more keywords
The cyclic Douglas–Rachford algorithm with r-sets-Douglas–Rachford operators
Sign Up to like & getrecommendations! Published in 2019 at "Optimization Methods and Software"
DOI: 10.1080/10556788.2018.1504049
Abstract: ABSTRACT The Douglas–Rachford (DR) algorithm is an iterative procedure that uses sequential reflections onto convex sets and which has become popular for convex feasibility problems. In this paper we propose a structural generalization that allows… read more here.
Keywords: douglas rachford; rachford; operators cyclic; cyclic douglas ... See more keywords