12 citations · 40 across the 8 of their papers we have counts for
8 papers
GMRES using pseudoinverse for range symmetric singular systems
Kota Sugihara, Ken Hayami, Liao Zeyu
Consider solving large sparse range symmetric singular linear systems which arise, for instance, in the discretization of convection diffusion equations with…
GMRES Methods for Tomographic Reconstruction with an Unmatched Back Projector
Per Christian Hansen, Ken Hayami, Keiichi Morikuni
Unmatched pairs of forward and back projectors are common in X-ray CT computations for large-scale problems; they are caused by the need for fast algorithms that best utilize the c…
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…
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…
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…
Convergence of the Conjugate Gradient Method on Singular Systems
Ken Hayami
We analyze the convergence of the Conjugate Gradient (CG) method in exact arithmetic, when the coefficient matrix is symmetric positive semidefinite and the system is consisten…