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math.NA2025
Enhanced randomized Douglas-Rachford method: Improved probabilities and adaptive momentum
Liqi Guo, Ruike Xiang, Deren Han +1
Randomized iterative methods have gained recent interest in machine learning and signal processing for solving large-scale linear systems. One such example is the randomized Dougla…
math.NA2025
Connecting randomized iterative methods with Krylov subspaces
Yonghan Sun, Deren Han, Jiaxin Xie
Randomized iterative methods, such as the randomized Kaczmarz method, have gained significant attention for solving large-scale linear systems due to their simplicity and efficienc…
math.NA2024
A simple linear convergence analysis of the randomized reshuffling Kaczmarz method
Deren Han, Jiaxin Xie
The random reshuffling Kaczmarz (RRK) method enjoys the simplicity and efficiency in solving linear systems as a Kaczmarz-type method, whereas it also inherits the practical improv…