@article{oai:repository.nii.ac.jp:02000371, author = {Du, Yi-shu and 速水, 謙 and Hayami, Ken and Zheng, Ning and 保國, 惠一 and Morikuni, Keiichi and Yin, Jun-Feng}, journal = {NIIテクニカル・レポート, NII Technical Report}, month = {Jun}, note = {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 parameter tuning strategy for adjusting the number of inner iterations and the relaxation parameter. We also present theoretical justifications of the right-preconditioned flexible GMRES for solving consistent linear systems. Numerical experiments on overdetermined and underdetermined linear systems show that the proposed method is superior to the GMRES method preconditioned by NE-SOR inner iterations in terms of total CPU time.}, pages = {1--14}, title = {NII Technical Report (NII-2020-003E):Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems.}, year = {2020} }