3 papers
math.NA2026
Hermitian Quaternion Toeplitz Matrices by Quaternion-valued Generating Functions
Xue-lei Lin, Michael K. Ng, Junjun Pan
In this paper, we study Hermitian quaternion Toeplitz matrices generated by quaternion-valued functions. We show that such generating function must be the sum of a real-valued func…
math.NA2024
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…
math.NA2024
A -preconditioner for space fractional diffusion equation with non-separable variable coefficients
Xue-Lei Lin, Michael K. Ng
In this paper, we study a -matrix approximation based preconditioner for the linear systems arising from discretization of unsteady state Riesz space fractional diffusion equat…