I’m a postdoctoral researcher working with Yousef Saad at the Department of Computer Science and Engineering, University of Minnesota. I received my Ph.D. degree in Applied Mathematics at Purdue University on August 2018 and my advisor was Jianlin Xia.
My research interests are in numerical linear algebra, numerical analysis, numerical eigenvalue problems and fast solvers.
Publications and preprints
- X. Ye, J. Xia, and L. Ying, Analytical low-rank compression via proxy point selection, submitted.
- X. Ye, J. Xia, R. H. Chan, S. Cauley, and V. Balakrishnan, A fast contour-integral eigensolver for non-Hermitian matrices, SIAM J. Matrix Anal. Appl., 38 (2017), pp. 1268-1297.
- J. Xia, Z. Li, and X. Ye, Effective matrix-free preconditioning for the augmented immersed interface method, J. Comput. Phys., 303 (2015), pp. 295-312.
- ToepRSHSS: a super fast and stable Toeplitz direct solver via HSS and randomization.
This is a Fortran library for solving Toeplitz linear systems, the algorithm uses hierarchically semiseparable (HSS) representation and has near linear computation time and memory usage. The latest version can be accessed here.