4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.NA2023
On averaging block Kaczmarz methods for solving nonlinear systems of equations
Aqin Xiao, Junfeng Yin
A class of averaging block nonlinear Kaczmarz methods is developed for the solution of the nonlinear system of equations. The convergence theory of the proposed method is establish…
math.NA2020★ 3 cited
A stabilized GMRES method for singular and severely ill-conditioned systems of linear equations
Zeyu Liao, Ken Hayami, Keiichi Morikuni +1
Consider using the right-preconditioned GMRES (AB-GMRES) for obtaining the minimum-norm solution of inconsistent underdetermined systems of linear equations. Morikuni (Ph.D. thesis…
math.NA2020★ 4 cited
Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems
Yi-Shu Du, Ken Hayami, Ning Zheng +2
We propose using greedy and randomized Kaczmarz inner-iterations as preconditioners for the right-preconditioned flexible GMRES method to solve consistent linear systems, with a pa…