Nicholas J. Higham
Manchester University
H-index: 81
North America-United States
Top articles of Nicholas J. Higham
Title | Journal | Author(s) | Publication Date |
|---|---|---|---|
Five-precision GMRES-based iterative refinement | SIAM Journal on Matrix Analysis and Applications | Patrick Amestoy Alfredo Buttari Nicholas J Higham Jean-Yves L’Excellent Théo Mary | 2024/3/31 |
A modular framework for the backward error analysis of GMRES | Alfredo Buttari Nicholas J Higham Théo Mary Bastien Vieublé | 2024/3/29 | |
The Power of Bidiagonal Matrices | arXiv preprint arXiv:2311.06609 | Nicholas J Higham | 2023/11/11 |
Probabilistic rounding error analysis of Householder QR factorization | SIAM Journal on Matrix Analysis and Applications | Michael P Connolly Nicholas J Higham | 2023/9/30 |
Computing the square root of a low-rank perturbation of the scaled identity matrix | SIAM Journal on Matrix Analysis and Applications | Massimiliano Fasi Nicholas J Higham Xiaobo Liu | 2023/3/31 |
Combining sparse approximate factorizations with mixed-precision iterative refinement | ACM Transactions on Mathematical Software | Patrick Amestoy Alfredo Buttari Nicholas J Higham Jean-Yves L’excellent Théo Mary | 2023/3/21 |
Matrix multiplication in multiword arithmetic: Error analysis and application to GPU tensor cores | SIAM Journal on Scientific Computing | Massimiliano Fasi Nicholas J Higham Florent Lopez Theo Mary Mantas Mikaitis | 2023/2/28 |
The influence and contribution of Jack Dongarra to numerical linear algebra | Computing in Science & Engineering | Sven Hammarling Nicholas J Higham | 2022/8/15 |
Solving block low-rank linear systems by LU factorization is numerically stable | IMA Journal of Numerical Analysis | Nicholas J Higham Theo Mary | 2022/4 |
Randomized low rank matrix approximation: Rounding error analysis and a mixed precision algorithm | Michael P Connolly Nicholas J Higham Srikara Pranesh | 2022/7/19 | |
Stochastic rounding: implementation, error analysis and applications | Matteo Croci Massimiliano Fasi Nicholas J Higham Theo Mary Mantas Mikaitis | 2022/3/9 | |
Hamilton's Discovery of the Quaternions and Creativity in Mathematics | Nicholas J Higham Dennis Sherwood | 2022/7/11 | |
Performance impact of precision reduction in sparse linear systems solvers | PeerJ Computer Science | Mawussi Zounon Nicholas J Higham Craig Lucas Françoise Tisseur | 2022/1/17 |
Anymatrix: an extensible MATLAB matrix collection | Numerical Algorithms | Nicholas J Higham Mantas Mikaitis | 2022/7 |
How to Be Creative: A Practical Guide for the Mathematical Sciences | Nicholas J Higham Dennis Sherwood | 2022 | |
Optimizing and factorizing the Wilson matrix | The American Mathematical Monthly | Nicholas J Higham Matthew C Lettington | 2022/5/10 |
Arbitrary precision algorithms for computing the matrix cosine and its Fréchet derivative | SIAM Journal on Matrix Analysis and Applications | Awad H Al-Mohy Nicholas J Higham Xiaobo Liu | 2022 |
Mixed precision algorithms in numerical linear algebra | Acta Numerica | Nicholas J Higham Theo Mary | 2022/5 |
Matrices with tunable infinity-norm condition number and no need for pivoting in LU factorization | SIAM Journal on Matrix Analysis and Applications | Massimiliano Fasi Nicholas J Higham | 2021 |
A survey of numerical linear algebra methods utilizing mixed-precision arithmetic | The International Journal of High Performance Computing Applications | Ahmad Abdelfattah Hartwig Anzt Erik G Boman Erin Carson Terry Cojean | 2021/7 |
Co-Authors
