Nicholas Higham - Selected Publications#

N. J. Higham, editor (and author of about 100 pages), with associate editors M. R. Dennis, P. Glendinning, P. A. Martin, F. Santosa and J. Tanner, The Princeton Companion to Applied Mathematics, Princeton University Press. xvii + 994 pages + 16 color plates. 2015. Chinese and Korean translations in progress.

M. Aprahamian and N. J. Higham. The matrix unwinding function, with an application to computing the matrix exponential. SIAM J. Matrix Anal. Appl., 35(1):88–109, 2014.

Y. Nakatsukasa and N. J. Higham. Stable and efficient spectral divide and conquer algorithms for the symmetric eigenvalue decomposition and the SVD. SIAM J. Sci. Comput., 35(3): A1325–A1349, 2013. (

A. H. Al-Mohy, N. J. Higham, and S. D. Relton. Computing the Fréchet derivative of the matrix logarithm and estimating the condition number. SIAM J. Sci. Comput., 35(4): C394–C410, 2013.

N. J. Higham and L. Lin. An improved Schur--Pade algorithm for fractional powers of a matrix and their Fréchet derivatives. SIAM J. Matrix Anal. Appl., 34(3): 1341–1360, 2013.

A. H. Al-Mohy and N. J. Higham. Computing the action of the matrix exponential, with an application to exponential integrators. SIAM J. Sci. Comput., 33(2): 488–511, 2011. (

R. Borsdorf and N. J. Higham. A preconditioned Newton algorithm for the nearest correlation matrix. IMA J. Numer. Anal., 30(1):94–107, 2010.

N. J. Higham and A. H. Al-Mohy. Computing matrix functions. Acta Numerica, 19: 159–208, 2010.

N. J. Higham. The scaling and squaring method for the matrix exponential revisited. SIAM Rev., 51(4): 747–764, 2009.

N. J. Higham, Functions of Matrices: Theory and Computation. SIAM, Philadelphia, PA, USA, 2008. xx+425 pp. ISBN 978-0-898716-46-7.