## 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).## Latest papers

- An Algorithm to Compute the Polar Decomposition of a 3x3 Matrix (with Vanni Noferini ) MIMS EPrint 2015.66, July 2015.
- Ranking the Importance of Nuclear Reactions for Activation and Transmutation Events (with Wayne Arter, J. Guy Morgan and Samuel Relton) MIMS EPrint 2015.17, February 2015.
- Matching Exponential-Based and Resolvent-Based Centrality Measures (with Mary Aprahamian and Des Higham), Journal of Complex Networks, Advance Access published June 29, 2015 (MIMS EPrint 2015.8 version).
- An Algorithm for the Matrix Lambert W Function (with Massimiliano Fasi and Bruno Iannazzo), SIAM J. Matrix Anal. Appl., 36(2): 669-685, 2015. MATLAB code.
- Restoring Definiteness via Shrinking, with an Application to Correlation Matrices with a Fixed Block (with Natasa Strabic and Vedran Sego), MIMS EPrint 2014.54, November 2014; revised June 2015. To apepar in SIAM Review. Codes on Github: MATLAB, Python.
- Sylvester's Influence on Applied Mathematics, Mathematics Today, 50(4):202-206, 2014. (This version contains additional historical references. The version published in Mathematics Today is available on request.)
- New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously (with Awad Al-Mohy and Samuel Relton), SIAM J. Sci. Comp., 37(1): A456-A487, 2015.
- Testing Matrix Function Algorithms Using Identities (with Edvin Deadman), MIMS EPrint 2014.13, March 2014; revised January 2015. To appear in ACM Trans. Math. Soft.
- A Catalogue of Software for Matrix Functions. Version 1.0 (with Edvin Deadman), MIMS EPrint 2014.8, February 2014.
- Estimating the Condition Number of the Fréchet Derivative of a Matrix Function (with Samuel Relton), SIAM J. Sci. Comp., 36(6):C617-C634, 2014.
- Higher Order Fréchet Derivatives of Matrix Functions and the Level-2 Condition Number (with Samuel Relton ), SIAM J. Matrix Anal. Appl., 35(3):1019-1037, 2014.
- Numerical Conditioning MIMS EPrint 2013.76, November 2013. In Claude Brezinski and Ahmed Sameh, editors, Walter Gautschi. Selected Works with Commentaries, volume 1, pages 37-40. Birkhauser, New York, 2014.
- Matrix Functions: A Short Course (with Lijing Lin), MIMS EPrint 2013.73, November 2013.
- Detecting the Causes of Ill-Conditioning in Structural Finite Element Models (with Ramaseshan Kannan, Stephen Hendry and Françoise Tisseur), Computers and Structures, 133:79-89, 2014. Published version.
- Functions of Matrices, In Handbook of Linear Algebra, Leslie Hogben, (ed), Second edition, Chapman and Hall/CRC, Boca Raton, FL, USA, 17.1-17.5: 2014.
- The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential (with Mary Aprahamian ), SIAM J. Matrix Anal. Appl. 35 (1): 88-109, 2014. MATLAB codes.
- Performance Analysis of Asynchronous Jacobi's Method Implemented in MPI, SHMEM and OpenMP (with Iain Bethune, J. Mark Bull and Nicholas J. Dingle), Int. J. High Performance Computing Applications, 28(1):97-111, 2014.
- Covariance Structure Regularization via Entropy Loss Function (with Lijing Lin and Jianxin Pan), Comput. Statist. Data Anal., 72:315-327, 2014. Published version.

## Papers by topic

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

- 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