## BibTeX database

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). Complete list of all my publications with links and BibTeX entries (via BibBase: may take a few seconds to load).## Latest papers

- Three-Precision GMRES-based Iterative Refinement for Least Squares Problems (with E. Carson and S. Pranesh). MIMS EPrint 2020.5, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, February 2020. 20 pp.
- Sharper Probabilistic Backward Error Analysis for Basic Linear Algebra Kernels With Random Data (with T. Mary). MIMS EPrint 2020.4, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, January 2020. 20 pp.
- Numerical Algorithms for High-Performance Computational Science (with J. Dongarra and L. Grigori). Phil. Trans. R. Soc. A, 378(2166):1-18, 2020.
- Exploiting Lower Precision Arithmetic in Solving Symmetric Positive Definite Linear Systems and Least Squares Problems (with S. Pranesh). MIMS EPrint 2019.20, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, November 2019. 19 pp.
- Error Analysis For Standard and GMRES-Based Iterative Refinement in Two and Three-Precisions. MIMS EPrint 2019.19, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, November 2019. 8 pp.
- Mixed Precision Block Fused Multiply-Add: Error Analysis and Application to GPU Tensor Coress (with P. Blanchard, F. Lopez, T. Mary and S. Pranesh). MIMS EPrint 2019.18, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, September 2019. 15 pp.
- Accurately Computing the Log-Sum-Exp and Softmax Functions (with P. Blanchard and D. J. Higham). MIMS EPrint 2019.16, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, September 2019; revised January 2020. 19 pp.
- Solving Block Low-Rank Linear Systems by LU Factorization is Numerically Stable (with T. Mary). MIMS EPrint 2019.15, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, September 2019.
- A Class of Fast and Accurate Summation Algorithms (with P. Blanchard and T. Mary). MIMS EPrint 2019.6, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, April 2019; revised September 2019.
- Simulating Low Precision Floating-Point Arithmetic (with S. Pranesh). SIAM J. Sci. Comput., 41(5):C585-C602, 2019.
- Squeezing a Matrix Into Half Precision, with an Application to Solving Linear Systems (with S. Pranesh and M. Zounon). SIAM J. Sci. Comput., 41(4), A2536-A2551, 2019. Blog post.
- An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential (with M. Fasi). SIAM J. Matrix Anal. Appl., 40(4):1233-1256, 2019.
- A New Approach to Probabilistic Rounding Error Analysis (with T. Mary). SIAM J. Sci. Comput., 41(5):A2815-A2835, 2019. Blog post.
- Harnessing GPU Tensor Cores for Fast FP16 Arithmetic to Speed Up Mixed-Precision Iterative Refinement Solvers (with A. Haidar, S. Tomov, and J. Dongarra). In Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis, SC '18 (Dallas, TX), IEEE Press, Piscataway, NJ, USA, 2018, pages 47:1-47:11. Blog post.
- Etymo: A New Discovery Engine for AI Research (with W. Zhang, J. Deakin and S. Wang), in Companion Proceedings of the Web Conference 2018, International World Wide Web Conferences Steering Committee, pp. 227-230, 2018.
- A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error (with T. Mary), SIAM J. Sci. Comput., 41(1):A59-A82, 2019.
- Computing the Wave-Kernel Matrix Functions (with P. Nadukandi). SIAM J. Sci. Comput., 40(6):A4060-A4082, 2018. MATLAB software.
- Explicit Solutions to Correlation Matrix Completion Problems, with an Application to Risk Management and Insurance (with D. I. Georgescu and G. W. Peter). Roy. Soc. Open Sci., 5(3):1-11, 2018. See the blog post about this work at the Bank of England's Bank Underground blog.
- Adaptive Precision in Block-Jacobi Preconditioning for Iterative Sparse Linear System Solvers (with Hartwig Anzt, Jack Dongarra, Goran Flegar and Enrique S. Quintana-Orti). Concurrency Computat.: Pract. Exper., 31(6), e4460, 2019.
- Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions (with Erin Carson). SIAM J. Sci. Comput., 40(2):A817-A847, 2018.
- Multiprecision Algorithms for Computing The Matrix Logarithm (with Massimiliano Fasi). SIAM J. Matrix Anal. Appl., 39(1):472-491, 2018.

## Papers by topic

The following list excludes papers under "Latest Papers" above.

- Correlation matrices
- Eigenvalue problems
- Least squares problems
- Linear systems, condition estimation
- Matrix functions and nonlinear matrix equations
- Miscellaneous
- Articles

## Links

- List of publications on MathSciNet (requires subscription).
- Citations on Google Scholar.
- Citations on MathSciNet (requires subscription).
- Researcher ID profile