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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 currently the Secretary of the SIAM Activity Group on Linear Algebra. I am also 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 estimation errors on a parahermitian matrix EVD
Delaosa Connor, Coutts Fraser K., Pestana Jennifer, Weiss Stephan
10th IEEE Workshop on Sensor Array and Multichannel Signal Processing, pp. 1-5, (2018)
Enforcing eigenvector smoothness for a compact DFT-based polynomial eigenvalue decomposition
Coutts Fraser Kenneth, Thompson Keith, Pestana Jennifer, Proudler Ian, Weiss Stephan
10th IEEE Workshop on Sensor Array and Multichannel Signal Processing, pp. 1-5, (2018)
On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix
Weiss Stephan, Pestana Jennifer, Proudler Ian K.
IEEE Transactions on Signal Processing Vol 66, pp. 2659-2672, (2018)
http://dx.doi.org/10.1109/TSP.2018.2812747
GMRES convergence bounds for eigenvalue problems
Freitag Melina A., Kürschner Patrick, Pestana Jennifer
Computational Methods in Applied Mathematics Vol 18, pp. 203-222, (2018)
http://dx.doi.org/10.1515/cmam-2017-0017
Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations
McDonald Eleanor, Pestana Jennifer, Wathen Andy
SIAM Journal on Scientific Computing Vol 40, pp. A1012–A1033, (2018)
http://dx.doi.org/10.1137/16M1062016
Fast multipole preconditioners for sparse matrices arising from elliptic equations
Ibeid Huda, Yokota Rio, Pestana Jennifer, Keyes David
Computing and Visualization in Science Vol 18, pp. 213-229, (2018)
http://dx.doi.org/10.1007/s00791-017-0287-5

more publications

Address

Mathematics and Statistics
Livingstone Tower

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