The Github repository njhigham-bib contains a BibTeX database of all my papers, books, EPrints, articles, etc. Direct links: njhigham.pdf, njhigham.bib (requires strings.bib).
A complete list of all my publications is available with links and BibTeX entries (via BibBase: may take a few seconds to load).
- Latest Papers
- Correlation matrices
- Eigenvalue problems
- Least squares problems
- Linear systems, condition estimation
- Matrix functions and nonlinear matrix equations
- Miscellaneous
- Articles and book reviews
- Links
Latest Papers
- Hamilton’s Discovery of the Quaternions and Creativity in Mathematics (with Dennis Sherwood). LMS Newsletter, 507:28–31, 2023.
- Probabilistic Rounding Error Analysis of Householder QR Factorization (with M. P. Connolly), SIAM J. Matrix Anal. Appl., 44(3):1146–1163, 2023.
- Matrix Multiplication in Multiword Arithmetic: Error Analysis and Application to GPU Tensor Cores (with M. Fasi, F. Lopez, T. Mary, and M. Mikaitis), SIAM J. Sci. Comput., 45(1):C1–C19, 2023. Alternative copy.
- Numerical Stability of Algorithms at Extreme Scale and Low Precisions, In International Congress of Mathematicians, EMS Press, December 2023, pp. 5098–5117.
- Combining Sparse Approximate Factorizations with Mixed-Precision Iterative Refinement, (with P. Amestoy, A. Buttari, J.-Y. L’Excellent, T. Mary, and B. Vieublé), ACM Trans. Math. Software, 49(1):4:1–4:29, 2023.
- Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix (with M. Fasi and X. Liu), SIAM J. Matrix Anal. Appl., 44(1):156–174, 2023. Alternative copy.
- The Influence and Contribution of Jack Dongarra to Numerical Linear Algebra (with S. Hammarling), Computing in Science and Engineering, 24(4):6–11, 2022.
- Mixed Precision Algorithms in Numerical Linear Algebra (with T. Mary), Acta Numerica, 31:347–414, 2022.
- Stochastic Rounding: Implementation, Error Analysis and Applications (with M. Croci, M. Fasi, T. Mary, and M. Mikaitis), Roy. Soc. Open Sci., 9(3):1–25, 2022. Science News article about the paper.
- Randomized Low Rank Matrix Approximation: Rounding Error Analysis and a Mixed Precision Algorithm (with M. P. Connolly and S. Pranesh). MIMS EPrint 2022.5, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, July 2022; revised March 2023.
- Optimizing and Factorizing the Wilson Matrix (with M. C. Lettington), Amer. Math. Monthly, 129(5):454–465, 2022.
- Performance Impact of Precision Reduction In Sparse Linear Systems Solvers (with M. Zounon, C. Lucas and F. Tisseur), PeerJ Comput. Sci., 8:e778(1–22), 2022.
- Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative, (with A. H. Al-Mohy and X. Liu), SIAM J. Matrix Anal. Appl., 43(1):233—256, 2022.
- Five-precision GMRES-based iterative refinement (with P. Amestoy, A. Buttari, J.-Y. L’Excellent, T. Mary, and B. Vieublé). MIMS EPrint 2021.5, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, April 2021; revised April 2022. 22 pp. To appear in SIAM J. Matrix Anal. Appl.
Links
- Citations on Google Scholar.
- Researcher ID profile
- List of publications on MathSciNet (requires subscription).
- Citations on MathSciNet (requires subscription).
Nick Higham 