Dr Jennifer Pestana

Senior Lecturer

Mathematics and Statistics

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.

Expertise

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Prize And Awards

Best Student Paper Award: Recipient; 2018

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Publications

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Publications

Impact of space-time covariance matrix estimation on bin-wise eigenvalue and eigenspace perturbations: Delaosa Connor, Pestana Jennifer, Proudler Ian K, Weiss Stephan; Signal Processing Vol 233 (2025); https://doi.org/10.1016/j.sigpro.2025.109946
Fast solution of incompressible flow problems with two-level pressure approximation: Pestana Jennifer, Silvester David J; Numerische Mathematik Vol 156, pp. 1579-1602 (2024); https://doi.org/10.1007/s00211-024-01420-z
On properties and structure of the analytic singular value decomposition: Weiss Stephan, Proudler Ian K, Barbarino Giovanni, Pestana Jennifer, McWhirter John G; IEEE Transactions on Signal Processing Vol 72, pp. 2260-2275 (2024); https://doi.org/10.1109/TSP.2024.3387726
Polynomial eigenvalue decomposition for multichannel broadband signal processing : a mathematical technique offering new insights and solutions: Neo Vincent W, Redif Soydan, McWhirter John G, Pestana Jennifer, Proudler Ian K, Weiss Stephan, Naylor Patrick A; IEEE Signal Processing Magazine Vol 40, pp. 18-37 (2023); https://doi.org/10.1109/MSP.2023.3269200
Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices: Bootland Niall, Dolean Victorita, Kyriakis Alexandros, Pestana Jennifer; ETNA - Electronic Transactions on Numerical Analysis Vol 55, pp. 112-141 (2021); https://doi.org/10.1553/etna_vol55s112
The asymptotic spectrum of flipped multilevel Toeplitz matrices and of certain preconditionings: Mazza M, Pestana J; SIAM Journal on Matrix Analysis and Applications Vol 42, pp. 1319-1336 (2021); https://doi.org/10.1137/20M1379666

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Research

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Professional Activities

30th Biennial Conference on Numerical Analysis: Organiser; 2025
Invited Seminar at the University of Manchester: Speaker; 15/11/2024
BIRS Workshop: New Directions in Applied Linear Algebra: Organiser; 27/8/2023
29th Biennial Conference on Numerical Analysis: Organiser; 27/6/2023
25th Conference of the International Linear Algebra Society: Member of programme committee; 12/6/2023
School of Mathematics, University of Manchester, Manchester, UK.: Visiting researcher; 26/5/2023

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Projects

EPSRC-SFI Krylov subspace methods for non-symmetric PDE problems: a deeper understanding and faster convergence: Pestana, Jennifer (Principal Investigator); 01-Jan-2023 - 31-Jan-2026
Strathclyde International Strategic Partners (ISPs) Joint PhD Cluster: The numerical analysis of efficient linear solvers for industrial problems: Pestana, Jennifer (Principal Investigator) Dolean Maini, Victorita (Co-investigator) Paterson, Ann (Post Grad Student) Rahimi, Salaheddin (Co-investigator); PhD Studentship Cluster with TU Delft; 01-Jan-2022 - 30-Jan-2025
EPSRC Vacation Internship: Digital Twinning through Physics Informed Machine Learning. A Vibrating Bearing Case Study: Pestana, Jennifer (Co-investigator) Brown, Blair David (Principal Investigator); EPSRC Vacation Internship for Zara Blair; 14-Jan-2022 - 22-Jan-2022
ICMS@Glasgow: Novel preconditioned iterative solvers for Stokes equations with divergence-free solutions: Pestana, Jennifer (Principal Investigator) Barrenechea, Gabriel (CoPI) Soodhalter, Kirk (CoPI); 17-Jan-2022 - 30-Jan-2022
Maths DTP 2021/22 University of Strathclyde | Podmore, Sam: Knight, Philip (Principal Investigator) Pestana, Jennifer (Co-investigator) Podmore, Sam (Research Co-investigator); 01-Jan-2021 - 01-Jan-2025
Physics informed machine learning (ML) for the numerical solution of complex multi-physics problems: Dolean Maini, Victorita (Principal Investigator) Rahimi, Salaheddin (Research Co-investigator) Pestana, Jennifer (Co-investigator) Ritos, Konstantinos (Co-investigator) Kamenický, Robin (Co-investigator) Tant, Katherine Margaret Mary (Co-investigator); 01-Jan-2021 - 30-Jan-2022