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Two-dimensional greedy randomized Kaczmarz methods for solving large-scale linear systems
Tao Li, Meng-Long Xiao, Xin-Fang Zhang
In this paper, we consider a novel two-dimensional randomized Kaczmarz method and its improved version with simple random sampling, which chooses two active rows with probability p…
math.NA2025
Two-dimensional greedy randomized extended Kaczmarz methods
Xin-Fang Zhang, Meng-Long Xiao, Tao Li
The randomized extended Kaczmarz method, proposed by Zouzias and Freris (SIAM J. Matrix Anal. Appl. 34: 773-793, 2013), is appealing for solving least-squares problems. However, it…