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math.OC2023★ 13 cited
A Bregman-Kaczmarz method for nonlinear systems of equations
Robert Gower, Dirk A. Lorenz, Maximilian Winkler
We propose a new randomized method for solving systems of nonlinear equations, which can find sparse solutions or solutions under certain simple constraints. The scheme only takes…
math.OC2023
The Degenerate Variable Metric Proximal Point Algorithm and Adaptive Stepsizes for Primal-Dual Douglas-Rachford
Dirk A. Lorenz, Jannis Marquardt, Emanuele Naldi
In this paper the degenerate preconditioned proximal point algorithm will be combined with the idea of varying preconditioners leading to the degenerate variable metric proximal po…