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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.
Editor of SIAM Fundamentals of Algorithms Book Series
Jan 2018 → Dec 2019
Secretary of SIAM Activity Group on Linear Algebra
Jan 2016 → Dec 2018
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Strathclyde International Strategic Partners (ISPs) Joint PhD Cluster: The numerical analysis of efficient linear solvers for industrial problems
1/10/22 → 30/09/25
Project: Internally funded project
Polynomial eigenvalue decomposition for multichannel broadband signal processing: a mathematical technique offering new insights and solutionsNeo, V. W., Redif, S., McWhirter, J. G., Pestana, J., Proudler, I. K., Weiss, S. & Naylor, P. A., 8 Nov 2023, In: IEEE Signal Processing Magazine. 40, 7, p. 18-37 20 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile66 Downloads (Pure)
Bootland, N., Dolean, V., Kyriakis, A. & Pestana, J., 10 Nov 2021, In: ETNA - Electronic Transactions on Numerical Analysis. 55, p. 112-141 30 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile
Jennifer Pestana (Organiser)27 Aug 2023 → 1 Sept 2023
Activity: Participating in or organising an event types › Organiser of major conference