1. Y.-Y. Huang, W. Qu, S.-L. Lei, and S. Y. Hon*, An optimal preconditioned GMRES method for a class of finite difference schemes arising from multi-dimensional Riemann-Liouville fractional diffusion equations. Submitted. [paper]

2. Y.-Y. Huang, W. Qu, S.-L. Lei, and S. Y. Hon*, A symbol-based preconditioner for a sixth-order scheme from multi-dimensional steady-state Riesz space fractional diffusion equations. Submitted. [paper]

3. W. Qu, S.-L. Lei, S. Y. Hon, Y.-Y. Huang*, Optimal preconditioning techniques for finite volume approximation of three-dimensional conservative space-fractional diffusion equations. Submitted. [paper]

4. Y.-Y. Huang, W. Qu, S. Y. Hon, and S.-L. Lei*, An optimal preconditioner for high-order scheme arising from multi-dimensional Riesz space fractional diffusion equations with variable coefficients. arXiv preprint, arXiv:2507.23408, 2025. [paper]

5. G. Tachyridis and S. Y. Hon*, An optimal preconditioned MINRES method for symmetrized multilevel block Toeplitz systems with applications. Submitted. [paper]

6. S. Y. Hon, P. Y. Fung, and X.-L. Lin*, An optimal diagonalization-based preconditioner for parabolic optimal control problems. arXiv preprint, arXiv:2410.22686, 2025. (To appear in SIAM Journal on Matrix Analysis and Applications.) [paper]

7. S. Y. Hon*, C. Li, R. L. Sormani, R. Krause, and S. Serra-Capizzano, Symbol-based multilevel block $\tau$ preconditioners for multilevel block Toeplitz systems: GLT-based analysis and applications. arXiv preprint, arXiv:2409.20363, 2025. (To appear in SIAM Journal on Matrix Analysis and Applications.) [paper]

8. Y.-Y. Huang, S. Y. Hon*, L.-K. Chou, and S.-L. Lei, Optimal preconditioners for nonsymmetric multilevel Toeplitz systems with application to solving non-local evolutionary partial differential equations. Numerical Linear Algebra with Applications, 32 (3): e72005, 2025. [paper]

9. X.-L. Lin, C. Li*, and S. Hon, Absolute-value based preconditioner for complex-shifted Laplacian systems. Journal of Scientific Computing, 103 (2): 53, 2025. [paper]

10. Y.-Y. Huang, P. Y. Fung, S. Y. Hon*, and X.-L. Lin, An efficient preconditioner for evolutionary partial differential equations with $\theta$-method in time discretization. Journal of Scientific Computing, 103 (2): 47, 2025. [paper]

11. C. Li and S. Hon*, Multilevel tau preconditioners for symmetrized multilevel Toeplitz systems with applications to solving space fractional diffusion equations. SIAM Journal on Matrix Analysis and Applications, 46 (1): 487-508, 2025. [paper]

12. W. Qu, Y.-Y. Huang, S. Hon, and S.-L. Lei*, A novel fourth-order scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations and its optimal preconditioned solver. Numerical Linear Algebra with Applications, 32 (1): e70005, 2025. [paper]

13. P. Y. Fung and S. Y. Hon*, Block $\omega$-circulant preconditioners for parabolic equations. Computers & Mathematics with Applications, 182:122-138, 2025. [paper]

14. X.-L. Lin and S. Hon*, A block $\alpha$-circulant based preconditioned MINRES method for wave equations. Applied Numerical Mathematics, 208: 258-274, 2025. [paper]

15. P. Y. Fung and S. Hon*, Block $\omega$-circulant preconditioners for parabolic optimal control problems. SIAM Journal on Matrix Analysis and Applications, 45 (4): 2263-2286, 2024. [paper]

16. C. Li, X.-L. Lin*, S. Hon, and S.-L. Wu, A preconditioned MINRES method for block lower triangular Toeplitz systems. Journal of Scientific Computing, 100 (3): 63, 2024. [paper]

17. X.-L. Lin, J. Dong*, and S. Hon, A single-sided all-at-once preconditioning for linear system from a non-local evolutionary equation with weakly singular kernels. Computers & Mathematics with Applications, 169:1-16, 2024. [paper]

18. S. Hon*, P. Y. Fung, J. Dong, and S. Serra-Capizzano, A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs. Numerical Algorithms, 95 (4), 1769-1799, 2024. [paper]

19. S. Hon, J. Dong, and S. Serra-Capizzano*, A preconditioned MINRES method for optimal control of wave equations and its asymptotic spectral distribution theory. SIAM Journal on Matrix Analysis and Applications, 44 (4): 1477-1509, 2023. [paper]

20. S. Hon* and S. Serra-Capizzano, A block Toeplitz preconditioner for all-at-once systems of linear wave equations. Electronic Transactions on Numerical Analysis, 58:177-195, 2023. [paper]

21. S. Hon* and H. Yang, Simultaneous neural network approximation for smooth functions. Neural Networks, 154:152-164, 2022. [paper]

22. S. Hon*, Optimal block circulant preconditioners for block Toeplitz systems with application to evolutionary PDEs. Journal of Computational and Applied Mathematics, 407:113965, 2022. [paper]

23. S. Hon*, S. Serra-Capizzano, and A. Wathen, Band-Toeplitz preconditioners for ill-conditioned nonsymmetric Toeplitz systems, BIT Numerical Mathematics,  62 (2), 465-491, 2022. [paper]

24. S. Hon* and A. Wathen, Numerical investigation of the spectral distribution of Toeplitz-function sequences, Computational Methods for Inverse Problems in Imaging. Springer INdAM Series, vol 36. Springer, Cham, 2019. [paper]

25. S. Hon*, M. Mursaleen, and S. Serra-Capizzano, A note on the spectral distribution of symmetrized Toeplitz sequences, Linear Algebra and its Applications, 579:32-50, 2019. [paper]

26. P. Ferrari, I. Furci, S. Hon*, M. Mursaleen, and S. Serra-Capizzano, The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures, SIAM Journal on Matrix Analysis and Applications, 40 (3): 1066-1086, 2019. [paper]

27. S. Hon*, Circulant preconditioners for analytic functions of Hermitian Toeplitz matrices, Journal of Computational and Applied Mathematics, 352:328-340, 2019. [paper]

28. S. Hon*, Preconditioning for Toeplitz-related systems, DPhil thesis, University of Oxford, 2018. [paper]

29. S. Hon*, Optimal preconditioners for systems defined by functions of Toeplitz matrices, Linear Algebra and its Applications, 548:148-171, 2018. [paper]

30. M. Hammerschmidt*, J. Pabisiak, A. Perez-Gea, N. Julian, S. Hon, and S. Burger, Efficient finite-element-based numerical modelling of large sub-wavelength patterned optical structures, Proc. SPIE 10542, High Contrast Metastructures VII, 105421G, 2018. [paper]

31. S. Hon* and A. Wathen, Circulant preconditioners for analytic functions of Toeplitz matrices, Numerical Algorithms, 79:1211-1230, 2018. [paper]

32. E. McDonald*, S. Hon, J. Pestana, and A. Wathen, Preconditioning for nonsymmetry and time-dependence. Domain Decomposition Methods in Science and Engineering XXIII, Lect. Notes Comput. Sci., 116:81-91, Springer, Cham, 2017. [paper]

33. K. Siegel, K. Altenburger, Y. Hon, J. Lin, and C. Yu*, PuzzleCluster: a novel unsupervised clustering algorithm for binning DNA fragments in metagenomics, Current Bioinformatics, 10 (2), 231-252, 2015. [paper]

34. S. Y. Hon, S. Leung*, and H. Zhao, A cell based particle method for modeling dynamic interfaces, Journal of Computational Physics, 272:279-306, 2014. [paper]

*: Corresponding author.