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math.OC2023
Sublinear Convergence Rates of Extragradient-Type Methods: A Survey on Classical and Recent Developments
Quoc Tran-Dinh
The extragradient (EG), introduced by G. M. Korpelevich in 1976, is a well-known method to approximate solutions of saddle-point problems and their extensions such as variational i…
math.OC2023
Extragradient-Type Methods with Last-Iterate Convergence Rates for Co-Hypomonotone Inclusions
Quoc Tran-Dinh
We develop two "Nesterov's accelerated" variants of the well-known extragradient method to approximate a solution of a co-hypomonotone inclusion constituted by the sum of two opera…
math.OC2023
Randomized Block-Coordinate Optimistic Gradient Algorithms for Root-Finding Problems
Quoc Tran-Dinh, Yang Luo
In this paper, we develop two new randomized block-coordinate optimistic gradient algorithms to approximate a solution of nonlinear equations in large-scale settings, which are cal…