Dr Jennifer Pestana

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.

Prizes and awards

Best Student Paper Award: Recipient; 2018

More prizes and awards

Publications

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
Preconditioners for Krylov subspace methods : an overview: Pearson John W, Pestana Jennifer; GAMM-Mitteilungen / GAMM-Reports Vol 43 (2020); https://doi.org/10.1002/gamm.202000015
Subspace perturbation bounds with an application to angle of arrival estimation using the MUSIC algorithm: Delaosa Connor, Pestana Jennifer, Weiss Stephan, Proudler Ian; International Conference on Sensor Signal Processing for Defence (2020); https://doi.org/10.1109/SSPD47486.2020.9272125
Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices: Pestana J; SIAM Journal on Matrix Analysis and Applications Vol 40, pp. 870-887 (2019); https://doi.org/10.1137/18M1205406
Iterative approximation of analytic eigenvalues of a parahermitian matrix EVD: Weiss Stephan, Proudler Ian K, Coutts Fraser K, Pestana Jennifer; 2019 International Conference on Acoustics, Speech, and Signal Processing, pp. 8038-8042 (2019); https://doi.org/10.1109/ICASSP.2019.8682407

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Professional activities

29th Biennial Conference on Numerical Analysis: Organiser; 27/6/2023
25th Conference of the International Linear Algebra Society: Member of programme committee; 2021
SIAM (Publisher): Peer reviewer; 2021
SIAM SIAG/LA Nominating Committee (External organisation): Chair; 2021
Society for Industrial and Applied Mathematics (SIAM) Committee on Programs (External organisation): Member; 1/1/2021
EPSRC Mathematical Sciences Prioritisation Panel February 2020 (Event): Peer reviewer; 25/2/2020

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Projects

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-2024
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
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

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Address

Mathematics and Statistics
Livingstone Tower

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