7 citations · 15 across the 14 of their papers we have counts for
14 papers
An efficient preconditioner for evolutionary partial differential equations with -method in time discretization
Yuan-Yuan Huang, Po Yin Fung, Sean Y. Hon +1
In this study, the -method is used for discretizing a class of evolutionary partial differential equations. Then, we transform the resultant all-at-once linear system and introd…
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…
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…
Block -circulant preconditioners for parabolic optimal control problems
Po Yin Fung, Sean Hon
In this work, we propose a class of novel preconditioned Krylov subspace methods for solving an optimal control problem of parabolic equations. Namely, we develop a family of block…
A single-sided all-at-once preconditioning for linear system from a non-local evolutionary equation with weakly singular kernels
Xuelei Lin, Jiamei Dong, Sean Hon
{In [X. L. Lin, M. K. Ng, and Y. Zhi. {\it J. Comput. Phys.}, 434 (2021), pp. 110221] and [Y. L. Zhao, J. Wu, X. M. Gu, and H. Li. {\it Comput. Math. Appl.}, 148(2023), pp. 200--21…
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…
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…
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…
A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs
Sean Hon, Po Yin Fung, Jiamei Dong +1
In this work, we propose a simple yet generic preconditioned Krylov subspace method for a large class of nonsymmetric block Toeplitz all-at-once systems arising from discretizing e…
Simultaneous Neural Network Approximation for Smooth Functions
Sean Hon, Haizhao Yang
We establish in this work approximation results of deep neural networks for smooth functions measured in Sobolev norms, motivated by recent development of numerical solvers for par…
The eigenvalue distribution of special -by- block matrix sequences, with applications to the case of symmetrized Toeplitz structures
Paola Ferrari, Isabella Furci, Sean Hon +2
Given a Lebesgue integrable function over , we consider the sequence of matrices , where is the -by- Toeplitz matrix generated by an…
A note on the spectral distribution of symmetrized Toeplitz sequences
Sean Hon, Mohammad Ayman Mursaleen, Stefano Serra-Capizzano
The singular value and spectral distribution of Toeplitz matrix sequences with Lebesgue integrable generating functions is well studied. Early results were provided in the classica…
Circulant preconditioners for functions of Hermitian Toeplitz matrices
Sean Hon
Circulant preconditioners for functions of matrices have been recently of interest. In particular, several authors proposed the use of the optimal circulant preconditioners as well…
Optimal preconditioners for systems defined by functions of Toeplitz matrices
Sean Hon
We propose several circulant preconditioners for systems defined by some functions of Toeplitz matrices . In this paper we are interested in solving $g(A_n)\mathbf{x}=\mat…