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math.NA2026
Theoretical insights on the residual transformation from bi-conjugate gradient into bi-conjugate residual via a smoothing scheme
Arisa Kawase, Kensuke Aihara
Bi-conjugate gradient (Bi-CG) and bi-conjugate residual (Bi-CR) methods are underlying iterative solvers for linear systems with nonsymmetric matrices. Residual smoothing is a stan…
math.NA2025
Transformation from Bi-CG into Bi-CR using a residual smoothing-like scheme
Arisa Kawase, Kensuke Aihara
Residual smoothing techniques, which produce a smooth convergence behavior of linear iterative solvers, also form connections between different methods. For example, minimal residu…