Dr Jennifer Pestana


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.


Preconditioners for Krylov subspace methods : an overview
Pearson John W, Pestana Jennifer
GAMM-Mitteilungen / GAMM-Reports Vol 43 (2020)
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)
Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices
Pestana J
SIAM Journal on Matrix Analysis and Applications Vol 40, pp. 870-887 (2019)
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)
Sample space-time covariance matrix estimation
Delaosa Connor, Pestana Jennifer, Goddard Nicholas J, Somasundaram Samuel, Weiss Stephan
2019 International Conference on Acoustics, Speech, and Signal Processing, pp. 8033-8037 (2019)
Analysis of broadband GEVD-based blind source separation
Redif Soydan, Pestana Jennifer, Proudler Ian K
ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) , pp. 8028-8032 (2019)

More publications

Professional activities

29th Biennial Conference on Numerical Analysis
EPSRC Mathematical Sciences Prioritisation Panel February 2020 (Event)
Peer reviewer
University of Insubria
Visiting researcher
PhD External Examiner
LMS Workshop on Iterative Methods for Partial Differential Equations
Society for Industrial and Applied Mathematics - Fundamentals of Algorithms Series (Publisher)
Editorial board member

More professional activities


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

More projects


Mathematics and Statistics
Livingstone Tower

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