Publications

Links to published articles in peer-reviewed journals, preprints, and PhD thesis.

Latest preprints

[3p] Mixed precision HODLR matrices (with E. Carson and X. Chen). ArXiv:2407.21637 [math.NA], July 2024.
[2p] Computing k-means in mixed precision (with E. Carson and X. Chen). ArXiv:2407.12208 [math.NA], July 2024.
[1p] Mixed-precision Paterson--Stockmeyer method for evaluating polynomials of matrices. ArXiv:2312.17396v2 [math.NA], Dec 2023; revised July 2024.

Refereed journal articles

[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.

Technical reports

[1t] On the cross-shaped matrices. MIMS EPrint 2023.1, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, Jan 2023.

Thesis

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