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2024

Pestana, Jennifer and Silvester, David J. (2024) Fast solution of incompressible flow problems with two-level pressure approximation. Numerische Mathematik, 156 (4). pp. 1579-1602. ISSN 0029-599X

Weiss, Stephan and Proudler, Ian K. and Barbarino, Giovanni and Pestana, Jennifer and McWhirter, John G. (2024) On properties and structure of the analytic singular value decomposition. IEEE Transactions on Signal Processing, 72. pp. 2260-2275. ISSN 1053-587X

2023

Neo, Vincent W. and Redif, Soydan and McWhirter, John G. and Pestana, Jennifer and Proudler, Ian K. and Weiss, Stephan and Naylor, Patrick A. (2023) Polynomial eigenvalue decomposition for multichannel broadband signal processing : a mathematical technique offering new insights and solutions. IEEE Signal Processing Magazine, 40 (7). pp. 18-37. ISSN 1053-5888

2021

Bootland, Niall and Dolean, Victorita and Kyriakis, Alexandros and Pestana, Jennifer (2021) Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. ETNA - Electronic Transactions on Numerical Analysis, 55. pp. 112-141. ISSN 1068-9613

Mazza, M. and Pestana, J. (2021) The asymptotic spectrum of flipped multilevel Toeplitz matrices and of certain preconditionings. SIAM Journal on Matrix Analysis and Applications, 42 (3). pp. 1319-1336. ISSN 0895-4798

2020

Delaosa, Connor and Pestana, Jennifer and Weiss, Stephan and Proudler, Ian (2020) Subspace perturbation bounds with an application to angle of arrival estimation using the MUSIC algorithm. In: International Conference on Sensor Signal Processing for Defence, 2020-09-15 - 2020-09-16.

Pearson, John W. and Pestana, Jennifer (2020) Preconditioners for Krylov subspace methods : an overview. GAMM-Mitteilungen / GAMM-Reports, 43 (4). e202000015. ISSN 0936-7195

2019

Pestana, J. (2019) Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 40 (3). pp. 870-887. ISSN 0895-4798

Mazza, M. and Pestana, J. (2019) Spectral properties of flipped Toeplitz matrices and related preconditioning. BIT Numerical Mathematics, 59 (2). pp. 463-482. ISSN 0006-3835

Weiss, Stephan and Proudler, Ian K. and Coutts, Fraser K. and Pestana, Jennifer (2019) Iterative approximation of analytic eigenvalues of a parahermitian matrix EVD. In: 2019 International Conference on Acoustics, Speech, and Signal Processing, 2019-05-12 - 2019-05-17.

Delaosa, Connor and Pestana, Jennifer and Goddard, Nicholas J. and Somasundaram, Samuel and Weiss, Stephan (2019) Sample space-time covariance matrix estimation. In: 2019 International Conference on Acoustics, Speech, and Signal Processing, 2019-05-12 - 2019-05-17.

Redif, Soydan and Pestana, Jennifer and Proudler, Ian K.; (2019) Analysis of broadband GEVD-based blind source separation. In: ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, Piscataway, NJ, pp. 8028-8032. ISBN 9781479981311

Delaosa, Connor and Pestana, Jennifer and Goddard, Nicholas J. and Somasundaram, Samuel D. and Weiss, Stephan (2019) Support estimation of a sample space-time covariance matrix. In: Sensor Signal Processing for Defence 2019, 2019-05-09 - 2019-05-10. (In Press)

Hook, James and Pestana, Jennifer and Tisseur, Francoise and Hogg, Jonathan (2019) Max-balanced Hungarian scalings. SIAM Journal on Matrix Analysis and Applications, 40 (1). pp. 320-346. ISSN 0895-4798

2018

Weiss, Stephan and Pestana, Jennifer and Proudler, Ian K. and Coutts, Fraser K. (2018) Correction to "On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix". IEEE Transactions on Signal Processing, 66 (23). pp. 6325-6327. ISSN 1053-587X

Coutts, Fraser Kenneth and Thompson, Keith and Pestana, Jennifer and Proudler, Ian and Weiss, Stephan (2018) Enforcing eigenvector smoothness for a compact DFT-based polynomial eigenvalue decomposition. In: 10th IEEE Workshop on Sensor Array and Multichannel Signal Processing, 2018-07-08 - 2018-07-11.

Delaosa, Connor and Coutts, Fraser K. and Pestana, Jennifer and Weiss, Stephan (2018) Impact of space-time covariance estimation errors on a parahermitian matrix EVD. In: 10th IEEE Workshop on Sensor Array and Multichannel Signal Processing, 2018-07-08 - 2018-07-11.

Weiss, Stephan and Pestana, Jennifer and Proudler, Ian K. (2018) On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix. IEEE Transactions on Signal Processing, 66 (10). pp. 2659-2672. ISSN 1053-587X

Freitag, Melina A. and Kürschner, Patrick and Pestana, Jennifer (2018) GMRES convergence bounds for eigenvalue problems. Computational Methods in Applied Mathematics, 18 (2). pp. 203-222. ISSN 1609-9389

McDonald, Eleanor and Pestana, Jennifer and Wathen, Andy (2018) Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations. SIAM Journal on Scientific Computing, 40 (2). A1012–A1033. ISSN 1064-8275

Ibeid, Huda and Yokota, Rio and Pestana, Jennifer and Keyes, David (2018) Fast multipole preconditioners for sparse matrices arising from elliptic equations. Computing and Visualization in Science, 18 (6). pp. 213-229. ISSN 1433-0369

Pearson, John W. and Pestana, Jennifer and Silvester, David J. (2018) Refined saddle-point preconditioners for discretized Stokes problems. Numerische Mathematik, 138 (2). pp. 331-363. ISSN 0029-599X

2017

McDonald, Eleanor and Hon, Sean and Pestana, Jennifer and Wathen, Andrew (2017) Preconditioning for nonsymmetry and time-dependence. In: 23rd International Conference on Domain Decomposition Methods, 2015-07-06 - 2015-07-10.

Corr, Jamie and Pestana, Jennifer and Weiss, Stephan and Redif, Soydan and Moonen, Marc; (2017) Investigation of a polynomial matrix generalised EVD for multi-channel Wiener filtering. In: 50th Asilomar Conference on Signals, Systems and Computers. IEEE, USA, pp. 1-5. ISBN 9781538639542

2016

Pestana, Jennifer and Rees, Tyrone (2016) Null-space preconditioners for saddle point systems. SIAM Journal on Matrix Analysis and Applications, 37 (3). pp. 1103-1128. ISSN 0895-4798

Pestana, J. and Muddle, R. and Heil, M. and Tisseur, F. and Mihajlovic, M. (2016) Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem. SIAM Journal on Scientific Computing, 38 (1). A325-A345. ISSN 1064-8275

2015

Farrell, Patricio and Pestana, Jennifer (2015) Block preconditioners for linear systems arising from multiscale collocation with compactly supported RBFs. Numerical Linear Algebra with Applications, 22 (4). pp. 731-747. ISSN 1070-5325

Pestana, J. and Wathen, A. J. (2015) A preconditioned MINRES method for nonsymmetric Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 36 (1). pp. 273-288. ISSN 0895-4798

Pestana, Jennifer and Wathen, Andrew J. (2015) Natural preconditioning and iterative methods for saddle point systems. SIAM Review, 57 (1). 71–91. ISSN 0036-1445

2014

Guettel, Stefan and Pestana, Jennifer (2014) Some observations on weighted GMRES. Numerical Algorithms, 67 (4). pp. 733-752. ISSN 1017-1398

Pestana, Jennifer (2014) On the eigenvalues and eigenvectors of block triangular preconditioned block matrices. SIAM Journal on Matrix Analysis and Applications, 35. pp. 517-525. ISSN 0895-4798

Pestana, Jennifer and Wathen, Andrew (2014) The antitriangular factorisation of saddle point matrices. SIAM Journal on Matrix Analysis and Applications, 35. 339–353. ISSN 0895-4798

2013

Pestana, J. and Wathen, A. J. (2013) Combination preconditioning of saddle point systems for positive definiteness. Numerical Linear Algebra with Applications, 20. pp. 785-808. ISSN 1070-5325