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20122014
most citedInertial Douglas-Rachford splitting for monotone inclusion problems

11 citations · 17 across the 3 of their papers we have counts for

collaborators

9 papers

math.OC2014★ 11 cited

Inertial Douglas-Rachford splitting for monotone inclusion problems

Radu Ioan Bot, Ernö Robert Csetnek, Christopher Hendrich

We propose an inertial Douglas-Rachford splitting algorithm for finding the set of zeros of the sum of two maximally monotone operators in Hilbert spaces and investigate its conver…

math.FA2013

Solving monotone inclusions involving parallel sums of linearly composed maximally monotone operators

Radu Ioan Bot, Christopher Hendrich

The aim of this article is to present two different primal-dual methods for solving structured monotone inclusions involving parallel sums of compositions of maximally monotone ope…

math.OC2013

Convex risk minimization via proximal splitting methods

Radu Ioan Bot, Christopher Hendrich

In this paper we investigate the applicability of a recently introduced primal-dual splitting method in the context of solving portfolio optimization problems which assume the mini…

math.OC2013

On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems

Radu Ioan Bot, Ernö Robert Csetnek, Andre Heinrich

We present two modified versions of the primal-dual splitting algorithm relying on forward-backward splitting proposed in \cite{vu} for solving monotone inclusion problems. Under s…

math.OC2012

A Douglas-Rachford type primal-dual method for solving inclusions with mixtures of composite and parallel-sum type monotone operators

Radu Ioan Bot, Christopher Hendrich

In this paper we propose two different primal-dual splitting algorithms for solving inclusions involving mixtures of composite and parallel-sum type monotone operators which rely o…

math.OC2012

Convergence analysis for a primal-dual monotone + skew splitting algorithm with applications to total variation minimization

Radu Ioan Bot, Christopher Hendrich

In this paper we investigate the convergence behavior of a primal-dual splitting method for solving monotone inclusions involving mixtures of composite, Lipschitzian and parallel s…