Publications

Publications

1. An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices
   S. Zhao, T. Xu, H. Huang, E. Chow, and Y. Xi
   SIAM Journal on Scientific Computing, to appear (2024)
   Paper: Arxiv (2023)
   Software: Github

2. A Parallel Algorithm for Computing Partial Spectral Factorizations of Matrix Pencils via Chebyshev Approximation
   T. Xu, A. P. Austin, V. Kalantzis, and Y. Saad
   SIAM Journal on Scientific Computing (2023)
   DOI: 10.1137/22M1501155
   Software: Github

3. parGeMSLR: A Parallel Multilevel Schur Complement Low-Rank Preconditioning and Solution Package for General Sparse Matrices
   T. Xu, V. Kalantzis, R. Li, Y. Xi, G. Dillon, and Y. Saad
   Parallel Computing (2022), Vol. 113
   DOI: 10.1016/j.parco.2022.102956
   Software: Github

4. Superconvergence of Some Linear and Quadratic Functionals for Higher-Order Finite Elements
   V. Shaydurov, and T. Xu
   Finite Difference Methods, Theory and Applications (2015)
   DOI: 10.1007/978-3-319-20239-6_8

Preprints

1. Anderson Acceleration with Truncated Gram-Schmidt
   Z. Tang, T. Xu, T. He, Y. Saad, Y. Xi
   Preprint: Arxiv (2024)
   Software: To be released.

2. A Two-level GPU-Accelerated Incomplete LU Preconditioner for General Sparse Linear Systems
   T. Xu, R. Li, and D. Osei-Kuffuor
   Preprint: Arxiv (2023)
   Software: This work is implemented within the hypre package.