Author

Yudan Gan

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Preprint Aug 2026

On Convergence Behavior of Randomized Kaczmarz-type Methods for Solving Doubly Noisy Linear Systems

In this paper, we consider the convergence of some popular Kaczmarz-type methods, including the randomized Kaczmarz (RK) method, the randomized extended Kaczmarz (REK) method, the randomized block Kaczmarz (RBK) method, and the randomized double block Kaczmarz (RDBK) method for doubly noisy linear system. To the best o...

Yudan Gan, Gang Wu · 0 citations

Preprint Aug 2026

On Convergence Behavior of Randomized Kaczmarz-type Methods for Solving Doubly Noisy Linear Systems

In this paper, we investigate the limiting behavior of the RK algorithm for solving doubly noisy inconsistent linear systems without imposing any additional initial assumptions. The proposed bounds effectively characterize the convergence behavior of these algorithms when applied to doubly noisy linear systems. Further...

Yudan Gan, Gang Wu · 0 citations

Preprint Aug 2026

On Convergence Behavior of Randomized Kaczmarz-type Methods for Solving Doubly Noisy Linear Systems

The randomized Kaczmarz (RK) method is an efficient iterative projection algorithm with low computational complexity for solving consistent linear systems. However, noise is inevitable in real-world applications, and both the coefficient matrix and the right-hand side vector may be contaminated by noise. The convergenc...

Yudan Gan, Gang Wu · 0 citations