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Dr Philip Knight


Mathematics and Statistics

Personal statement

I obtained my PhD in Mathematics from the University of Manchester in 1993 and have spent most of my career carrying out research into matrix algebra. My interest in applications drew me inexorably towards network theory and my research interests now centre on the algebraic structure of networks as well as on the use of networks to represent other mathematical structures.

Personal webpage here.


Network models and biproportional rounding for fair seat allocations in the UK elections
Akartunali Kerem, Knight Philip A.
Annals of Operations Research Vol 253, pp. 1-19, (2017)
A First Course in Network Theory
Estrada Ernesto, Knight Philip A.
A symmetry preserving algorithm for matrix scaling
Knight Philip, Ruiz Daniel, Ucar Bora
SIAM Journal on Matrix Analysis and Applications Vol 35, pp. 931–955, (2014)
A fast algorithm for matrix balancing
Knight Philip, Ruiz Daniel
IMA Journal of Numerical Analysis Vol 33, pp. 1029-1047, (2013)
Rank-driven Markov processes
Grinfeld Michael, Knight Philip, Wade Andrew
Journal of Statistical Physics Vol 146, pp. 378-407, (2012)
Bak-Sneppen-type models and rank-driven processes
Grinfeld Michael, Knight Philip A., Wade Andrew R.
Physical Review E Vol 84, (2011)

more publications

Professional activities

27th Biennial Conference on Numerical Analysis

more professional activities


EPSRC Doctoral Training Grant - DTA, University of Strathclyde | Sheerin, Matthew James
Knight, Philip (Co-investigator) Sheerin, Matthew James (Research Co-investigator)
Period 01-Oct-2013 - 25-May-2018
Ramage, Alison (Principal Investigator) Knight, Philip (Co-investigator) Brown, Kirsty Lynne (Research Co-investigator)
Period 01-Oct-2011 - 01-Apr-2015
EPSRC Science and Innovation - Numerical Analysis | Yorston, Alison Heather
Barrenechea, Gabriel (Principal Investigator) Knight, Philip (Co-investigator) Yorston, Alison Heather (Research Co-investigator)
Period 01-Oct-2012 - 01-Apr-2016

more projects


Mathematics and Statistics
Livingstone Tower

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