Nicholas Higham

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Nick Higham
Born Nicholas John Higham
(1961-12-25) 25 December 1961 (age 55)[1]
Residence UK
Citizenship British
Nationality British
Institutions University of Manchester
Cornell University[3]
Alma mater University of Manchester
Thesis Nearness Problems in Numerical Linear Algebra (1985)
Doctoral advisor George Hall[4]
Doctoral students
  • Awad Al-Mohy
  • Mary Aprahamian
  • Rüdiger Borsdorf[5]
  • Sheung Hun Cheng
  • Anthony Cox
  • Philip Davies
  • Gareth Hargreaves
  • Hyun Kim
  • Ramaseshan Kannan[6]
  • Philip Knight
  • Lijing Lin[7]
  • Craig Lucas
  • D. Steven Mackey
  • Pythagoras Papadimitriou[8]
  • Harikrishna Patel
  • Samuel Relton[9]
  • Matthew Smith[4]
Notable awards

Nicholas John Higham FRS (born 25 December 1961 in Salford)[3] is a British numerical analyst and Richardson Professor of Applied Mathematics at the School of Mathematics at the University of Manchester.[2][4][10][11][12][13]


Higham was educated at the University of Manchester, gaining his Bachelor of Science degree in 1982, Master of Science degree in 1983 and PhD 1985.[3][14] His PhD thesis was supervised by George Hall.[4]


Higham is Director of Research within the School of Mathematics, Director of the Manchester Institute for Mathematical Sciences (MIMS), and Head of the Numerical Analysis Group. He held a prestigious Royal Society Wolfson Research Merit Award (2003–2008) and as of 2006 is on the Institute for Scientific Information Highly Cited Researcher list.[15]

Higham is best known for his work on the accuracy and stability of numerical algorithms.[16] He has more than 85 refereed publications[2][10][12] on topics such as rounding error analysis, linear systems, least squares problems, matrix functions and nonlinear matrix equations, condition number estimation, and generalized eigenvalue problems. He has contributed software to LAPACK and the NAG library, and has contributed code included in the MATLAB distribution.

Higham is a member of the editorial boards of the journals Forum of Mathematics, Foundations of Computational Mathematics, IMA Journal of Numerical Analysis, Linear Algebra and its Applications, Numerical Algorithms, and SIAM Journal on Matrix Analysis and Applications.

Higham's books include Functions of Matrices: Theory and Computation (2008),[17] Accuracy and Stability of Numerical Algorithms,[16] Handbook of Writing for the Mathematical Sciences,[18] and MATLAB Guide, co-authored with his brother Desmond Higham.[19]

Awards and honours[edit]

His 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 for Numerical Analysis, a 1999 Junior Whitehead Prize from the London Mathematical Society. He was elected as Fellow of the Royal Society in 2007.[20] In 2008 he was awarded the Fröhlich Prize in recognition of 'his leading contributions to numerical linear algebra and numerical stability analysis'.[21]


  1. ^ "HIGHAM, Prof. Nicholas John". Who's Who 2014, A & C Black, an imprint of Bloomsbury Publishing plc, 2014; online edn, Oxford University Press. (subscription required)
  2. ^ a b c Nicholas Higham's publications indexed by Google Scholar
  3. ^ a b c "HIGHAM, Prof. Nicholas John’, Who's Who 2013, A & C Black, an imprint of Bloomsbury Publishing plc, 2013; online edn, Oxford University Press". 
  4. ^ a b c d Nicholas Higham at the Mathematics Genealogy Project
  5. ^ Borsdorf, Rüdiger (2012). Structured matrix nearness problems : theory and algorithms (PhD thesis). University of Manchester. 
  6. ^ Kannan, Ramaseshan (2014). Numerical Linear Algebra Problems in Structural Analysis (PDF) (PhD thesis). University of Manchester. 
  7. ^ Lin, Lijing (2011). Roots of stochastic matrices and fractional matrix powers (PhD thesis). University of Manchester. 
  8. ^ Papadimitriou, Pythagoras (1993). Parallel Solution of SVD-Related Problems, With Applications (PDF) (PhD thesis). University of Manchester. 
  9. ^ Relton, Samuel (2014). Algorithms for Matrix Functions and their Frechet Derivatives and Condition Numbers (PDF) (PhD thesis). University of Manchester. 
  10. ^ a b List of publications from Microsoft Academic Search
  11. ^ Higham, N. J. (2002). "Computing the nearest correlation matrix--a problem from finance". IMA Journal of Numerical Analysis. 22 (3): 329–343. doi:10.1093/imanum/22.3.329. 
  12. ^ a b Nicholas Higham's publications indexed by the Scopus bibliographic database, a service provided by Elsevier. (subscription required)
  13. ^ Nicholas Higham on Twitter
  14. ^ Higham, Nicholas (1985). Nearness Problems in Numerical Linear Algebra (PhD thesis). University of Manchester. 
  15. ^ "Higham, Nicholas John". Archived from the original on September 29, 2007. Retrieved March 12, 2007. 
  16. ^ a b Higham, Nicholas J. (2002). Accuracy and stability of numerical algorithms. Philadelphia: Society for Industrial and Applied Mathematics. ISBN 0-89871-521-0. 
  17. ^ Higham, Nicholas J. (2008). Functions of matrices: theory and computation. Philadelphia: Society for Industrial and Applied Mathematics. ISBN 0-89871-646-2. 
  18. ^ Higham, Nicholas J. (1998). Handbook of writing for the mathematical sciences. Philadelphia: Society for Industrial and Applied Mathematics. ISBN 0-89871-420-6. 
  19. ^ Higham, Nicholas J.; Higham, Desmond J. (2005). MATLAB guide. Philadelphia: Society for Industrial and Applied Mathematics. ISBN 0-89871-578-4. 
  20. ^ New Fellows and Foreign Members 2007
  21. ^ "Prize Winners 2008". Retrieved 2008-07-07. [dead link]