Projects per year
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 2018 → Dec 2019
Secretary of SIAM Activity Group on Linear Algebra
Jan 2016 → Dec 2018
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Collaborations and top research areas from the last five years
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EPSRC-SFI Krylov subspace methods for non-symmetric PDE problems: a deeper understanding and faster convergence
Pestana, J. (Principal Investigator)
EPSRC (Engineering and Physical Sciences Research Council)
1/08/23 → 31/07/26
Project: Research
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Strathclyde International Strategic Partners (ISPs) Joint PhD Cluster: The numerical analysis of efficient linear solvers for industrial problems
Pestana, J. (Principal Investigator), Dolean Maini, V. (Co-investigator), Paterson, A. (Post Grad Student) & Rahimi, S. (Co-investigator)
1/10/22 → 30/09/25
Project: Internally funded project
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Impact of space-time covariance matrix estimation on bin-wise eigenvalue and eigenspace perturbations
Delaosa, C., Pestana, J., Proudler, I. K. & Weiss, S., 1 Aug 2025, In: Signal Processing. 233, 12 p., 109946.Research output: Contribution to journal › Article › peer-review
Open AccessFile7 Citations (Scopus)36 Downloads (Pure) -
An iterative block matrix inversion (IBMI) algorithm for symmetric positive definite matrices with applications to covariance matrices
Paterson, A., Pestana, J. & Maini, V. D., 10 Feb 2025, Ithaca, NY, 19 p.Research output: Working paper › Working Paper/Preprint
Open AccessFile5 Downloads (Pure)
Datasets
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Data for: "Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices"
Pestana, J. (Creator), Zenodo, 3 Aug 2018
Dataset
Prizes
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Best Student Paper Award
Delaosa, C. (Recipient), Coutts, F. K. (Recipient), Pestana, J. (Recipient) & Weiss, S. (Recipient), 2018
Prize: Prize (including medals and awards)
File
Activities
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30th Biennial Conference on Numerical Analysis
Knight, P. (Chair), Barrenechea, G. (Organiser), Pestana, J. (Organiser) & Arrigo, F. (Organiser)
2025 → …Activity: Presenting or Organising an Event › Organiser of major conference
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Invited Seminar at the University of Manchester
Pestana, J. (Speaker)
15 Nov 2024Activity: Talk or Presentation › Invited talk