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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…
math.NA2024★ 1 cited
On adaptive stochastic extended iterative methods for solving least squares
Yun Zeng, Deren Han, Yansheng Su +1
In this paper, we propose a novel adaptive stochastic extended iterative method, which can be viewed as an improved extension of the randomized extended Kaczmarz (REK) method, for…
math.NA2024★ 2 cited
Randomized iterative methods for generalized absolute value equations: Solvability and error bounds
Jiaxin Xie, Hou-Duo Qi, Deren Han
Randomized iterative methods, such as the Kaczmarz method and its variants, have gained growing attention due to their simplicity and efficiency in solving large-scale linear syste…