activity
20202022
most citedGreedy Block Gauss-Seidel Methods for Solving Large Linear Least Squares Problem

6 citations · 17 across the 15 of their papers we have counts for

collaborators
Showing 2020Show all

6 papers · 1 filter

math.NA2020

Block sampling Kaczmarz-Motzkin methods for consistent linear systems

Yanjun Zhang, Hanyu Li

The sampling Kaczmarz-Motzkin (SKM) method is a generalization of the randomized Kaczmarz and Motzkin methods. It first samples some rows of coefficient matrix randomly to build a…

math.NA2020

Greedy Motzkin-Kaczmarz methods for solving linear systems

Yanjun Zhang, Hanyu Li

The famous greedy randomized Kaczmarz (GRK) method uses the greedy selection rule on maximum distance to determine a subset of the indices of working rows. In this paper, with the…

math.NA2020★ 2 cited

A novel greedy Gauss-Seidel method for solving large linear least squares problem

Yanjun Zhang, Hanyu Li

We present a novel greedy Gauss-Seidel method for solving large linear least squares problem. This method improves the greedy randomized coordinate descent (GRCD) method proposed r…

math.NA2020

A Count Sketch Kaczmarz Method For Solving Large Overdetermined Linear Systems

Yanjun Zhang, Hanyu Li

In this paper, combining count sketch and maximal weighted residual Kaczmarz method, we propose a fast randomized algorithm for large overdetermined linear systems. Convergence ana…

math.NA2020★ 6 cited

Greedy Block Gauss-Seidel Methods for Solving Large Linear Least Squares Problem

Hanyu Li, Yanjun Zhang

With a greedy strategy to construct control index set of coordinates firstly and then choosing the corresponding column submatrix in each iteration, we present a greedy block Gauss…

math.NA2020★ 3 cited

A Novel Greedy Kaczmarz Method For Solving Consistent Linear Systems

Hanyu Li, Yanjun Zhang

With a quite different way to determine the working rows, we propose a novel greedy Kaczmarz method for solving consistent linear systems. Convergence analysis of the new method is…