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math.NA2024
Symbol-based multilevel block preconditioners for multilevel block Toeplitz systems: GLT-based analysis and applications
Sean Y. Hon, Congcong Li, Rosita L. Sormani +2
In recent years, there has been a renewed interest in preconditioning for multilevel Toeplitz systems, a research field that has been extensively explored over the past several dec…
math.NA2024
Absolute-value based preconditioner for complex-shifted Laplacian systems
Xuelei Lin, Congcong Li, Sean Hon
The complex-shifted Laplacian systems arising in a wide range of applications. In this work, we propose an absolute-value based preconditioner for solving the complex-shifted Lapla…
math.NA2024
Multilevel Tau preconditioners for symmetrized multilevel Toeplitz systems with applications to solving space fractional diffusion equations
Congcong Li, Sean Hon
In this work, we develop a novel multilevel Tau matrix-based preconditioned method for a class of non-symmetric multilevel Toeplitz systems. This method not only accounts for but a…