## 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

- Performance Evaluation of Mixed Precision Algorithms for Solving Sparse Linear Systems (with Mawussi Zounon, Craig Lucas and Françoise Tisseur), MIMS EPrint 2020.20, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, September 2020. 18 pp.
- A Multiprecision Derivative-Free Schur-Parlett Algorithm for Computing Matrix Functions (with Xiaobo Liu), MIMS EPrint 2020.19, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, September 2020. 21 pp. Blog post.
- Matrices with Tunable Infinity-Norm Condition Number and No Need for Pivoting in LU Factorization (with M. Fasi). MIMS EPrint 2020.17, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, July 2020. 19 pp. Blog post.
- A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic (with Ahmad Abdelfattah et al.). ArXiv:2007.06674, July 2020. Manchester, UK, July 2020. 44 pp.
- Mixed-Precision Solution of Linear Systems Using Accelerator-Based Computing (with A. Haidar, H. Bayraktar, S. Tomov and J. Dongarra), Technical Report ICL-UT-20-05, Innovative Computing Laboratory, University of Tennessee, Knoxville, TN, USA, May 2020. 30 pp.
- Stochastic Rounding and Its Probabilistic Backward Error Analysis (with M. P. Connolly and and T. Mary), MIMS EPrint 2020.12, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, April 2020; revised August 2020. 20 pp. Blog post.
- Numerical Behavior of NVIDIA Tensor Cores. (with M. Fasi), M. Mikaitis, and S. Pranesh), MIMS EPrint 2020.10, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, April 2020; revised July 2020. 15 pp. Blog post.
- Generating Extreme-Scale Matrices with Specified Singular Values or Condition Numbers (with M. Fasi). MIMS EPrint 2020.8, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, March 2020. 21 pp.
- Random Matrices Generating Large Growth in LU Factorization with Pivoting (with D. J. Higham and S. Pranesh) MIMS EPrint 2020.13, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, May 2020. 15 pp.
- A Catalogue of Software for Matrix Functions. Version 3.0 (with Edvin Hopkins), MIMS EPrint 2020.7, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, March 2020. 24 pp.
- 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; revised June 2020. 20 pp. To appear in SIAM J. Sci. Comput.
- 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; revised August 2020. 21 pp. To appear in SIAM J. Sci. Comput. Blog post.
- 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 S. Pranesh). MIMS EPrint 2019.20, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, November 2019; revised July 2020. 20 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). SIAM J. Sci. Comput., 42(3):C124-C141, 2020.
- Accurately Computing the Log-Sum-Exp and Softmax Functions (with P. Blanchard and D. J. Higham). IMA J. Numer. Anal., 2020 (Advanced access).
- 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; revised September 2020. 26 pp. Blog post.
- A Class of Fast and Accurate Summation Algorithms (with P. Blanchard and T. Mary). SIAM J. Sci. Comput., 42(3):A1541-A1557, 2020. Blog post.
- Simulating Low Precision Floating-Point Arithmetic (with S. Pranesh). SIAM J. Sci. Comput., 41(5):C585-C602, 2019. Blog post.
- 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.
- An Updated Set of Nonlinear Eigenvalue Problems (with G. M. Negri Porzio and F. Tisseur). MIMS EPrint 2019.5, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, March 2019. 12 pp.
- A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error (with T. Mary), SIAM J. Sci. Comput., 41(1):A59-A82, 2019.
- 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.

## 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