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math.OC2022
Some Adaptive First-order Methods for Variational Inequalities with Relatively Strongly Monotone Operators and Generalized Smoothness
A. A. Titov, S. S. Ablaev, M. S. Alkousa +2
In this paper, we introduce some adaptive methods for solving variational inequalities with relatively strongly monotone operators. Firstly, we focus on the modification of the rec…
math.OC2022
Optimization in complex spaces with the Mixed Newton Method
Sergey Bakhurin, Roland Hildebrand, Mohammad Alkousa +2
We propose a second-order method for unconditional minimization of functions of complex arguments. We call it the Mixed Newton Method due to the use of the mixed Wirtinger d…