21 citations · 44 across the 40 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.OC2016
The forward-backward algorithm and the normal problem
Walaa M. Moursi
The forward-backward splitting technique is a popular method for solving monotone inclusions that has applications in optimization. In this paper we explore the behaviour of the al…
math.OC2016
On the Douglas-Rachford algorithm
Heinz H. Bauschke, Walaa M. Moursi
The Douglas-Rachford algorithm is a very popular splitting technique for finding a zero of the sum of two maximally monotone operators. However, the behaviour of the algorithm rema…
math.OC2016
Affine nonexpansive operators, Attouch-Théra duality and the Douglas-Rachford algorithm
Heinz H. Bauschke, Brett Lukens, Walaa M. Moursi
The Douglas-Rachford splitting algorithm was originally proposed in 1956 to solve a system of linear equations arising from the discretization of a partial differential equation. I…