12 citations · 40 across the 8 of their papers we have counts for
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math.NA2020★ 1 cited
GMRES on singular systems revisited
Ken Hayami, Kota Sugihara
In [Hayami K, Sugihara M. Numer Linear Algebra Appl. 2011; 18:449--469], the authors analyzed the convergence behaviour of the Generalized Minimal Residual (GMRES) method for the l…
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…