## 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

- 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. 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 (This version contains additional historical references.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), MIMS EPrint 2014.31, June 2014.
- Testing Matrix Function Algorithms Using Identities (with Edvin Deadman), MIMS EPrint 2014.13, March 2014; revsied September 2014.
- 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 Frechet Derivative of a Matrix Function (with Samuel Relton), MIMS EPrint 2013.84, December 2013. To appear in SIAM J. Sci. Comp.
- 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.
- Matrix Computations in Basic on a Microcomputer. MIMS EPrint 2013.51, July 2013. This is a reissue of a 1985 technical report. The original report was published, without the appendices, as Matrix Computations in Basic on a Microcomputer, IMA Bulletin, 22:13-20, 1986.
- 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.
- An Improved Schur-Padé Algorithm for Fractional Powers of a Matrix and their Fréchet Derivatives (with Lijing Lin), SIAM J. Matrix Anal. Appl. 34 (3): 1341-1360, 2013. MATLAB codes at MATLAB Central File Exchange;
- 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