168 citations · 486 across the 27 of their papers we have counts for
4 papers · 1 filter
Computing the resolvent of the sum of operators with application to best approximation problems
Minh N. Dao, Hung M. Phan
We propose a flexible approach for computing the resolvent of the sum of weakly monotone operators in real Hilbert spaces. This relies on splitting methods where strong convergence…
Adaptive Douglas-Rachford splitting algorithm for the sum of two operators
Minh N. Dao, Hung M. Phan
The Douglas-Rachford algorithm is a classical and powerful splitting method for minimizing the sum of two convex functions and, more generally, finding a zero of the sum of two max…
Union Averaged Operators with Applications to Proximal Algorithms for Min-Convex Functions
Minh N. Dao, Matthew K. Tam
In this paper we introduce and study a class of structured set-valued operators which we call union averaged nonexpansive. At each point in their domain, the value of such an opera…
The Douglas--Rachford algorithm for a hyperplane and a doubleton
Heinz H. Bauschke, Minh N. Dao, Scott B. Lindstrom
The Douglas--Rachford algorithm is a popular algorithm for solving both convex and nonconvex feasibility problems. While its behaviour is settled in the convex inconsistent case, t…