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Personal profile

Personal Statement

My primary research interests are numerical linear algebra and its application to problems in scientific computing. Most of my work has focused on understanding the convergence behaviour of Krylov subspace methods for solving linear systems, and on developing preconditioners for specific applications. I have also been involved in projects that apply ideas from tropical algebra to problems in numerical linear algebra, such as pre-scaling matrices before solving linear systems. Current projects include developing fast solvers for problems from fractional diffusion, and analysing problems in broadband signal processing. 

I have been a lecturer in the Department of Mathematics and Statistics since 2015. Prior to this I held postdoctoral positions at The University of Manchester and the University of Oxford. I obtained my DPhil from the University of Oxford in 2012.

I am a member of SIAM, and am an editor of the SIAM Fundamentals of Algorithms book series. I am also a member of the Edinburgh Mathematical Society, the London Mathematical Society and am a Fellow of the Institute for Mathematics and its Applications. 

My personal webpage can be found here.

External positions

Editor of SIAM Fundamentals of Algorithms Book Series

Jan 2018Dec 2019

Secretary of SIAM Activity Group on Linear Algebra

Jan 2016Dec 2018

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Preconditioner Mathematics
Preconditioning Mathematics
GMRES Mathematics
MINRES Mathematics
Linear systems Engineering & Materials Science
Saddle Point Systems Mathematics
Toeplitz matrix Mathematics
Decomposition Engineering & Materials Science

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Projects 2017 2022

Research Output 2013 2019

Analysis of broadband GEVD-based blind source separation

Redif, S., Pestana, J. & Proudler, I. K., 17 Apr 2019, ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). Piscataway, NJ: IEEE, p. 8028-8032 5 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Open Access
Blind source separation
Source separation
Covariance matrix
4 Citations (Scopus)
21 Downloads (Pure)

Iterative approximation of analytic eigenvalues of a parahermitian matrix EVD

Weiss, S., Proudler, I. K., Coutts, F. K. & Pestana, J., 16 May 2019, p. 8038-8042. 5 p.

Research output: Contribution to conferencePaper

Open Access
Discrete Fourier transforms
Maximum likelihood


Best Student Paper Award

Connor Delaosa (Recipient), Fraser Kenneth Coutts (Recipient), Jennifer Pestana (Recipient) & Stephan Weiss (Recipient), 2018

Prize: Prize (including medals and awards)