Papers

Some of my papers (a subset of the items below) are available from MIMS EPrints. Available is also a complete BibTeX database njhigham.bib of my papers (requires strings.bib).

Latest papers

• Functions of Matrices, MIMS EPrint 2013.27, May 2013. To appear in Handbook of Linear Algebra, Leslie Hogben, (ed), Second edition, Chapman and Hall/CRC, Boca Raton, FL, USA.
• The Matrix Unwinding Function, with an Application to Computing the Matrix Exponential (with Mary Aprahamian ), MIMS EPrint 2013.21, May 2013.
• An Improved Schur--Padé Algorithm for Fractional Powers of a Matrix and their Fréchet Derivatives (with Lijing Lin), MIMS EPrint 2013.1, January 2013; revised May 2013. To appear in SIAM J. Matrix Anal. Appl. MATLAB codes at MATLAB Central File Exchange;
• Computing the Fréchet Derivative of the Matrix Logarithm and Estimating the Condition Number (with Awad Al-Mohy and Samuel Relton ), MIMS EPrint 2012.72, July 2012; revised March 2013. To appear in SIAM J. Sci. Comp. 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), MIMS EPrint 2012.82, June 2012. To appear in International Journal of High Performance Computing Applications.
• Covariance Structure Regularization via Entropy Loss Function (with Lijing Lin and Jianxin Pan), MIMS EPrint 2012.61, June 2012.
• Stable and Efficient Spectral Divide and Conquer Algorithms for the Symmetric Eigenvalue Decomposition and the SVD (with Yuji Nakatsukasa), MIMS EPrint 2012.52, May 2012; to appear in SIAM J. Sci. Comp. MATLAB codes at MATLAB Central File Exchange;
• Blocked Schur Algorithms for Computing the Matrix Square Root (with Edvin Deadman and Rui Ralha), In P. Manninen and P. Öster, eds, Applied Parallel and Scientific Computing: 11th International Conference, PARA 2012, Helsinki, Finland, Lecture Notes in Computer Science, Vol 7782, pp, 171-182, Springer, 2013.
• NLEVP: A Collection of Nonlinear Eigenvalue Problems (with Timo Betcke, Volker Mehrmann, Christian Schroder and Françoise Tisseur), ACM Trans. Math. Software, 39(2):7:1--7:28, 2013. Published version.
• Backward Stability of Iterations for Computing the Polar Decomposition (with Yuji Nakatsukasa), SIAM J. Matrix Anal. Appl. 33(2):460-479, 2012.
• Reducing the Influence of Tiny Normwise Relative Errors on Performance Profiles (with Nicholas J. Dingle), MIMS EPrint 2011.90, November 2011; revised January 2013. To appear in ACM Trans. Math. Soft.
• Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm (with Awad Al-Mohy), SIAM J. Sci. Comp. 34 (4): C152-C169, 2012. MATLAB codes. MATLAB codes at MATLAB Central File Exchange.
• Investigating the Performance of Asynchronous Jacobi's Method for Solving Systems of Linear Equations (with Iain Bethune, J. Mark Bull and Nicholas J. Dingle), MIMS EPrint 2011.82, October 2011.

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