Publications

A collection of my (co-)authored papers and preprints can be found in this .bib file.

• [4p] Mixed-precision iterative refinement for low-rank Lyapunov equations (with P. Benner). ArXiv:2510.02126 [math.NA], October 2025.
• [3p] Mixed-precision algorithms for solving the Sylvester matrix equation (with A. Dmytryshyn, M. Fasi, and N. J. Higham). ArXiv:2503.03456v2 [math.NA], March 2025; revised October 2025.
• [2p] Generalizing reduced rank extrapolation to low-rank matrix sequences (with P. den Boef, P. Kürschner, J. Maubach, J. Saak, W. Schilders, J. Schulze, and N. van de Wouw). ArXiv:2502.09165 [math.NA], February 2025.
• [1p] Computing k-means in mixed precision (with E. Carson and X. Chen). ArXiv:2407.12208 [math.NA], July 2024.

• [6] A scaling and recovering algorithm for the matrix \(\varphi\)-functions (with A. H. Al-Mohy). SIAM J. Sci. Comput., To appear.
• [5] Mixed precision HODLR matrices (with E. Carson and X. Chen). SIAM J. Sci. Comput., 47(3):A1408-A1435, 2025.
• [4] Mixed-precision Paterson--Stockmeyer method for evaluating polynomials of matrices. SIAM J. Matrix Anal. Appl., 46(1):811-835, 2025.
• [3] Computing the square root of a low-rank perturbation of the scaled identity matrix (with M. Fasi and N. J. Higham). SIAM J. Matrix Anal. Appl., 44(1):156-174, 2023.
• [2] Arbitrary precision algorithms for computing the matrix cosine and its Fréchet derivative (with A. H. Al-Mohy and N. J. Higham). SIAM J. Matrix Anal. Appl., 43(1):233-256, 2022.
• [1] A multiprecision derivative-free Schur--Parlett algorithm for computing matrix functions (with N. J. Higham). SIAM J. Matrix Anal. Appl., 42(3):1401-1422, 2021.

• [1t] A note on the cross matrices. ArXiv:2504.00325 [math.NA], April 2024. MIMS EPrint 2023.1, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, January 2023.

• Computing Matrix Functions in Arbitrary Precision Arithmetic. Ph.D. Thesis, Department of Mathematics, The University of Manchester, Manchester, UK, June 2022.