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.
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
Professional Activities
- 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
- Scientific Machine Learning Seminar
- Organiser
- 6/12/2022
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
- 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-2026
- Effective preconditioners for linear systems in fractional diffusion
- Pestana, Jennifer (Principal Investigator)
- 19-Jan-2018 - 19-Jan-2020
- Fundamentals, Techniques and Algorithms for Processing Multichannel Broadband Data | Delaosa, Connor
- Weiss, Stephan (Principal Investigator) Pestana, Jennifer (Co-investigator) Delaosa, Connor (Research Co-investigator)
- 01-Jan-2017 - 01-Jan-2021
Contact
Dr
Jennifer
Pestana
Senior Lecturer
Mathematics and Statistics
Email: jennifer.pestana@strath.ac.uk
Tel: 548 4559