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 2019Secretary of SIAM Activity Group on Linear Algebra
Jan 2016 → Dec 2018Fingerprint
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Network
Projects
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Doctoral Training Partnership 2018-19 University of Strathclyde | Merten, Julie
Barrenechea, G., Pestana, J. & Merten, J.
EPSRC (Engineering and Physical Sciences Research Council)
1/12/18 → 1/06/22
Project: Research Studentship - Internally Allocated
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Fundamentals, Techniques and Algorithms for Processing Multichannel Broadband Data | Delaosa, Connor
Weiss, S., Pestana, J. & Delaosa, C.
1/10/17 → 1/10/21
Project: Research Studentship - Internally Allocated
Research Output
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Preconditioners for Krylov subspace methods: an overview
Pearson, J. W. & Pestana, J., 3 Nov 2020, In: GAMM-Mitteilungen / GAMM-Reports . 43, 4, 35 p., e202000015.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Subspace perturbation bounds with an application to angle of arrival estimation using the MUSIC algorithm
Delaosa, C., Pestana, J., Weiss, S. & Proudler, I., 26 Jun 2020, (Accepted/In press). 5 p.Research output: Contribution to conference › Paper › peer-review
Open AccessFile9 Downloads (Pure)
Datasets
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Data for: "Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices"
Pestana, J. (Creator), 3 Aug 2018
Dataset
Prizes
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Best Student Paper Award
Delaosa, Connor (Recipient), Fraser Kenneth Coutts (Recipient), Pestana, Jennifer (Recipient) & Weiss, Stephan (Recipient), 2018
Prize: Prize (including medals and awards)
File
Activities
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29th Biennial Conference on Numerical Analysis
Philip Knight (Organiser), Gabriel Barrenechea (Organiser) & Jennifer Pestana (Organiser)
2021Activity: Participating in or organising an event types › Organiser of major conference
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EPSRC Mathematical Sciences Prioritisation Panel February 2020 (Event)
Jennifer Pestana (Peer reviewer)
25 Feb 2020 → 26 Feb 2020Activity: Publication peer-review and editorial work types › Membership of peer review panel or committee