## 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.## Latest papers

- Numerical Linear Algebra and Matrix Analysis, in N. J. Higham, M. R. Dennis, P. Glendinning, P. A. Martin, F. Santosa, and J. Tanner, editors, The Princeton Companion to Applied Mathematics, pages 263--281. Princeton University Press, Princeton, NJ, USA, 2015.
- The Singular Value Decomposition, in N. J. Higham, M. R. Dennis, P. Glendinning, P. A. Martin, F. Santosa, and J. Tanner, editors, The Princeton Companion to Applied Mathematics, pages 126--127. Princeton University Press, Princeton, NJ, USA, 2015.
- Making the Princeton Companion to Applied Mathematics, Mathematics Today, 51(5):212-214, 2015.
- Color Spaces and Digital Imaging, in N. J. Higham, M. R. Dennis, P. Glendinning, P. A. Martin, F. Santosa, and J. Tanner, editors, The Princeton Companion to Applied Mathematics, pages 808-813. Princeton University Press, Princeton, NJ, USA, 2015.
- Anderson Acceleration of the Alternating Projections Method for Computing the Nearest Correlation Matrix (with Natasa Strabic), MIMS EPrint 2015.39, August 2015. To appear in Numer. Alg. Codes on Github: MATLAB.
- 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 appear 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 (This version contains additional historical references.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. Published version.
- 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.

## 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