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## Nick Higham Biography

Nick Higham is Richardson Professor of Applied Mathematics in the School of Mathematics, University of Manchester. His degrees (BA 1982, MSc 1983, PhD 1985) are from the University of Manchester, and he has held visiting positions at Cornell University and the Institute for Mathematics and its Applications, University of Minnesota. He is Director of Research within the School of Mathematics, Head of the Numerical Analysis Group, and was Director of the Manchester Institute for Mathematical Sciences (MIMS) 2004-2010. He was elected Fellow of the Royal Society in 2007, is a SIAM Fellow, and held a Royal Society-Wolfson Research Merit Award (2003-2008).

He is well known for his research on the accuracy and stability of numerical algorithms, and the second edition of his 700-page monograph on this topic was published by SIAM in 2002. His most recent book, *Functions of Matrices: Theory and Computation* (SIAM, 2008), is the first research monograph devoted to this topic. He is the Editor of the Princeton Companion to Applied Mathematics (2015, circa 1000 pages).

He has more than 100 refereed publications on topics such as rounding error analysis, linear systems, least squares problems, matrix functions and nonlinear matrix equations, condition number estimation, and polynomial eigenvalue problems. His research has been supported by grants from EPSRC and by fellowships from the Nuffield Foundation, the Royal Society and the Leverhulme Trust. He currently holds a 2M euro ERC Advanced Grant (2011-2016) supporting his research on matrix functions.

Higham is a member of the editorial boards of the journals Acta Numerica, Forum of Mathematics, Foundations of Computational Mathematics. IMA Journal of Numerical Analysis, Linear Algebra and Its Applications, and Numerical Algorithms, He is also (Founding) Editor-in-Chief of the SIAM Fundamentals of Algorithms book series.

He was Vice President at Large (2010-2013) of SIAM and has served for over ten years on the SIAM Board of Trustees and the SIAM Council. He has also served on the Board of Directors of the International Linear Algebra Society, and as Chair of the SIAM Activity Group on Linear Algebra. He is a frequent invited speaker at international conferences, served for 17 years on the (permanent) organizing committee of the Householder Symposia on Numerical Linear Algebra, and was a member of the Scientific Program Committee for ICIAM 2011.

Higham has contributed software to LAPACK and the NAG library, and has written numerous M-files included in MATLAB. His algorithms are also included in Julia, SciPy, Mathematica and other packages.

Honours include the Alston S. Householder Award VI, 1987 (for the best Ph.D. thesis in numerical algebra 1984–1987), the 1988 Leslie Fox Prize in Numerical Analysis, a 1999 Junior Whitehead Prize from the London Mathematical Society, designation as a “Highly Cited Researcher” by Thomson/ISI in 2006, and the 2008 Fröhlich Prize of the London Mathematical Society.

Higham is also author of the best-selling SIAM books Handbook of Writing for the Mathematical Sciences (2nd edition, 1998) and MATLAB Guide (with D. J. Higham, 2nd edition, 2005), and is a contributor to the popular Penguin Dictionary of Mathematics (fourth edition, 2008).

## Nick Higham Resume

Professor Nicholas J. Higham, FRS—short resume (June 2015) School of Mathematics nick.higham@manchester.ac.uk, University of Manchester Manchester M13 9PL, UK Tel. +44 (0)161 275 5822, Fax +44 (0)161 275 5819

Ph.D. (Numerical Analysis), 1985, University of Manchester. M.Sc. (Numerical Analysis and Computing), 1983, University of Manchester.

### Appointments

University of Manchester: Director of Research, School of Mathematics, 2004–. Director of the Manchester Institute for Mathematical Sciences (MIMS) 2004–2010, Richardson Professor of Applied Mathematics 1998–, Professor of Applied Mathematics 1996–1998, Reader, 1992—1996, Senior Lecturer, 1989–1992; Lecturer in Mathematics, 1985–1989. Senior visitor, Institute for Mathematics and its Applications, University of Minnesota, January–March 1992. Visiting Assistant Professor of Computer Science, Cornell University, 1988–1989.

### Memberships

Fellow of the Institute of Mathematics and Its Applications, International Linear Algebra Society, London Mathematical Society, American Mathematical Society, Society for Industrial and Applied Mathematics (SIAM).

### Prizes and Fellowships

Fellow of SIAM, 2009. Fröhlich Prize, London Mathematical Society, 2008. Fellow of the Royal Society, 2007. Royal Society Wolfson Research Merit Award holder, 2003–2008. Royal Society Leverhulme Trust Senior Research Fellowship, 1999/2000. Junior Whitehead Prize, 1999, London Mathematical Society. Nuffield Foundation Science Research Fellow, 1991/1992. Leslie Fox Prize, 1988 (international prize for numerical analysis paper and presentation, age limit 31). Alston S. Householder Award VI, 1987 (international prize for best Ph.D. thesis in numerical algebra 1984–1987).

### Publications

124 refereed and 18 unrefereed publications.

### Citations

Google Scholar: 14,099 citations, h-index 59. On ISI Web of Science 3,789 citations, h-index 35. Average citations per article: 30. Designated “Highly Cited Researcher” by Thomson/ISI, 2006.

### Books

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 + 995 pp, 2015. N. J. Higham, Handbook of Writing for the Mathematical Sciences, Second edition, SIAM, 1998, xvi+302 pp. D. J. Higham and N. J. Higham, MATLAB Guide Second edition, SIAM, 2005, xxiii+382 pp. N. J. Higham, Accuracy and Stability of Numerical Algorithms, Second edition, SIAM, 2002, xxx+680 pp. N. J. Higham, Functions of Matrices: Theory and Computation. SIAM, 2008, xx+425 pp.

### Impact

Numerous Algorithms implemented in MATLAB, the NAG Library, and in various open source packages.

### Principal Research Grants in Last 5 Years

PI, ERC Advanced Grant “Functions of Matrices: Theory and Computation” (¤2M), 2011–2016. PI, EPSRC, Novel Asynchronous Algorithms and Software for Large Sparse Systems, (£321k), 2010-2015. PI, EPSRC grant “Network: Numerical Algorithms and High Performance Computing” (£129k), 2011–2014. Supervision of Research Students: 19 PhD students and 23 MSc students completed.

### Editing

Member of editorial boards of Acta Numerica, 2012–, Forum of Mathematics, 2012–, Foundations of Computational Mathematics, 1999–; IMA Journal of Numerical Analysis, 1994–; Linear Algebra and its Applications, 1997–, senior editor from 2009; Numerical 1 Algorithms, 2003–. PeerJ Computer Science, 2015–. (Founding) Editor-in-Chief of SIAM Fundamentals of Algorithms book series, 2003–.

### Professional Service

Member of the CERFACS Scientific Council (Toulouse), 2015–. Member of Research Excellence Framework (REF) 2014 Subpanel 10 (Mathematical Sciences). Vice President at Large of SIAM, 2010–2013. Member of Research Assessment Exercise (RAE) 2008 subpanel 21 (Applied Mathematics). Member of Royal Society International Conference Grants and Short Visits (Panel 1: Pure and Applied Mathematics, Computer Science), 2006–2008 and chair 2009. Member of SIAM Board of Trustees, 2006–2008, 2009– 2011. Member of EPSRC Peer Review College 2000—2008. Member of Leslie Fox Prize Committee, 2006–. Member of Board of Directors of International Linear Algebra Society, 1999–2001. Member of SIAM Council, 1996–2001. Chair of the SIAM Activity Group on Linear Algebra, 2001–2003. 2

## Nick Higham Google Scholar Citations

TITLE | CITED BY | YEAR |
---|---|---|

Accuracy and stability of numerical algorithms NJ Higham Society for industrial and applied mathematics | 4276 | 2002 |

Functions of matrices: theory and computation NJ Higham Society for Industrial and Applied Mathematics | 1398 | 2008 |

Computing the nearest correlation matrix—a problem from finance NJ Higham IMA journal of Numerical Analysis 22 (3), 329-343 | 642 | 2002 |

MATLAB guide DJ Higham, NJ Higham Society for Industrial and Applied Mathematics | 556 | 2005 |

Computing a nearest symmetric positive semidefinite matrix NJ Higham Linear algebra and its applications 103, 103-118 | 474 | 1988 |

Computing the polar decomposition—with applications NJ Higham SIAM Journal on Scientific and Statistical Computing 7 (4), 1160-1174 | 420 | 1986 |

The scaling and squaring method for the matrix exponential revisited NJ Higham SIAM Journal on Matrix Analysis and Applications 26 (4), 1179-1193 | 379 | 2005 |

Matrix nearness problems and applications NJ Higham University of Manchester. Department of Mathematics | 284 | 1988 |

Handbook of writing for the mathematical sciences NJ Higham Society for Industrial and Applied Mathematics | 281 | 1998 |

The accuracy of floating point summation NJ Higham SIAM Journal on Scientific Computing 14 (4), 783-799 | 242 | 1993 |

The numerical stability of barycentric Lagrange interpolation NJ Higham IMA Journal of Numerical Analysis 24 (4), 547-556 | 240 | 2004 |

A survey of condition number estimation for triangular matrices NJ Higham Siam Review 29 (4), 575-596 | 225 | 1987 |

FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation NJ Higham ACM Transactions on Mathematical Software (TOMS) 14 (4), 381-396 | 224 | 1988 |

Computing real square roots of a real matrix NJ Higham Linear Algebra and its applications 88, 405-430 | 215 | 1987 |

Computing the action of the matrix exponential, with an application to exponential integrators AH Al-Mohy, NJ Higham SIAM journal on scientific computing 33 (2), 488-511 | 192 | 2011 |

Accuracy and stability of numerical algorithms SIAM NJ Higham Philadelphia | 177 | 2002 |

Analysis of the Cholesky decomposition of a semi-definite matrix NJ Higham Oxford University Press | 176 | 1990 |

NLEVP: A collection of nonlinear eigenvalue problems T Betcke, NJ Higham, V Mehrmann, C Schröder, F Tisseur ACM Transactions on Mathematical Software (TOMS) 39 (2), 7 | 175 | 2013 |

Stable iterations for the matrix square root NJ Higham Numerical Algorithms 15 (2), 227-242 | 171 | 1997 |

Structured pseudospectra for polynomial eigenvalue problems, with applications F Tisseur, NJ Higham SIAM Journal on Matrix Analysis and Applications 23 (1), 187-208 | 167 | 2001 |