351 citations · 835 across the 27 of their papers we have counts for
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math.OC2018★ 13 cited
A Forward-Backward Splitting Method for Monotone Inclusions Without Cocoercivity
Yura Malitsky, Matthew K. Tam
In this work, we propose a simple modification of the forward-backward splitting method for finding a zero in the sum of two monotone operators. Our method converges under the same…
math.OC2018★ 8 cited
Golden Ratio Algorithms for Variational Inequalities
Yura Malitsky
The paper presents a fully explicit algorithm for monotone variational inequalities. The method uses variable stepsizes that are computed using two previous iterates as an approxim…
math.OC2018★ 8 cited
Block-coordinate primal-dual method for the nonsmooth minimization over linear constraints
D. Russell Luke, Yura Malitsky
We consider the problem of minimizing a convex, separable, nonsmooth function subject to linear constraints. The numerical method we propose is a block-coordinate extension of the…