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 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.

### External positions

Editor of SIAM Fundamentals of Algorithms Book Series

Jan 2018 → Dec 2019Secretary of SIAM Activity Group on Linear Algebra

Jan 2016 → Dec 2018## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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## Projects 2017 2022

- 2 Active

## DTP 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 › Research Studentship (Internally Allocated)

## Effective preconditioners for linear systems in fractional diffusion

EPSRC (Engineering and Physical Sciences Research Council)

1/11/17 → 31/10/19

Project: Research

## Research Output 2013 2018

## Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix"

Weiss, S., Pestana, J., Proudler, I. K. & Coutts, F. K., 1 Dec 2018, In : IEEE Transactions on Signal Processing. 66, 23, p. 6325-6327 3 p.Research output: Contribution to journal › Article

## Enforcing eigenvector smoothness for a compact DFT-based polynomial eigenvalue decomposition

Coutts, F. K., Thompson, K., Pestana, J., Proudler, I. & Weiss, S., 8 Jul 2018, p. 1-5 5 p.Research output: Contribution to conference › Paper

## Datasets

## Data for: "Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices"

Pestana, J. (Creator), 3 Aug 2018

Dataset

## Prizes

## Best Student Paper Award

Connor Delaosa (Recipient), Fraser Kenneth Coutts (Recipient), Jennifer Pestana (Recipient) & Stephan Weiss (Recipient), 2018

Prize: Prize (including medals and awards)