6 citations · 16 across the 13 of their papers we have counts for
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Randomized block subsampling Kaczmarz-Motzkin method
Yanjun Zhang, Hanyu Li
By introducing a subsampling strategy, we propose a randomized block Kaczmarz-Motzkin method for solving linear systems. Such strategy not only determines the block size, but also…
On sketch-and-project methods for solving tensor equations
Ling Tang, Yanjun Zhang, Hanyu Li
We first propose the regular sketch-and-project method for solving tensor equations with respect to the popular t-product. Then, three adaptive sampling strategies and three corres…
Greedy capped nonlinear Kaczmarz methods
Yanjun Zhang, Hanyu Li
To solve nonlinear problems, we construct two kinds of greedy capped nonlinear Kaczmarz methods by setting a capped threshold and introducing an effective probability criterion for…
Greedy randomized sampling nonlinear Kaczmarz methods
Yanjun Zhang, Hanyu Li, Ling Tang
The nonlinear Kaczmarz method was recently proposed to solve the system of nonlinear equations. In this paper, we first discuss two greedy selection rules, i.e., the maximum residu…
Splitting-based randomized iterative methods for solving indefinite least squares problem
Yanjun Zhang, Hanyu Li
The indefinite least squares (ILS) problem is a generalization of the famous linear least squares problem. It minimizes an indefinite quadratic form with respect to a signature mat…
Convergence directions of the randomized Gauss--Seidel method and its extension
Yanjun Zhang, Hanyu Li
The randomized Gauss--Seidel method and its extension have attracted much attention recently and their convergence rates have been considered extensively. However, the convergence…