6 papers
Generalized Gearhart-Koshy acceleration for the Kaczmarz method
Janosch Rieger
The Kaczmarz method is an iterative numerical method for solving large and sparse rectangular systems of linear equations. Gearhart, Koshy and Tam have developed an acceleration te…
Backward-Forward-Reflected-Backward Splitting for Three Operator Monotone Inclusions
Janosch Rieger, Matthew K. Tam
In this work, we propose and analyse two splitting algorithms for finding a zero of the sum of three monotone operators, one of which is assumed to be Lipschitz continuous. Each it…
A learning-enhanced projection method for solving convex feasibility problems
Janosch Rieger
We propose a generalization of the method of cyclic projections, which uses the lengths of projection steps carried out in the past to learn about the geometry of the problem and d…
A linear programming approach to approximating the infinite time reachable set of strictly stable linear control systems
Andreas Ernst, Lars Grüne, Janosch Rieger
We develop a new numerical method for approximating the infinite time reachable set of strictly stable linear control systems. By solving a linear program with a constraint that in…
Explicit Formula for Preimages of Relaxed One-Sided Lipschitz Mappings with Negative Lipschitz Constants
Andrew C. Eberhard, Boris S. Mordukhovich, Janosch Rieger
This paper addresses Lipschitzian stability issues that play an important role in both theoretical and numerical aspects of variational analysis, optimization, and their applicatio…
Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities
Wolf-Jürgen Beyn, Etienne Emmrich, Janosch Rieger
We present an existence result for a partial differential inclusion with linear parabolic principal part and relaxed one-sided Lipschitz multivalued nonlinearity in the framework o…