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math.NA2023
A preconditioned MINRES method for optimal control of wave equations and its asymptotic spectral distribution theory
Sean Hon, Jiamei Dong, Stefano Serra-Capizzano
In this work, we propose a novel preconditioned Krylov subspace method for solving an optimal control problem of wave equations, after explicitly identifying the asymptotic spectra…
math.NA2023
A preconditioned MINRES method for block lower triangular Toeplitz systems
Congcong Li, Xuelei Lin, Sean Hon +1
In this study, a novel preconditioner based on the absolute-value block -circulant matrix approximation is developed, specifically designed for nonsymmetric dense block lower tr…
math.NA2023
A block -circulant based preconditioned MINRES method for wave equations
Xue-lei Lin, Sean Hon
In this work, we propose an absolute value block -circulant preconditioner for the minimal residual (MINRES) method to solve an all-at-once system arising from the discretizatio…