Papers, Technical reports and Theses
Refereed Journal Publications
Block Kronecker linearizations of matrix polynomials and their backward errorsFroilán M. Dopico, Piers W. Lawrence, Javier Párez, and Paul Van Dooren, Numerische Mathematik, 140(2) (2018), pp. 373-426.
Developing the IoT to Support the Health Sector: A Case Study from Kikwit, DR CongoPiers W. Lawrence, Trisha Phippard, Gowri Ramachandran, and Danny Hughes. In: F. Belqasmi (Eds.), Emerging Technologies for Developing Countries, pp. 45-56. Presented at the The 1st EAI International Conference on Emerging Technologies for Developing Countries, Marrakech, Morocco, 27 Mar 2017-28 Mar 2017.
Constructing strong linearizations of matrix polynomials expressed in the Chebyshev bases MIMS preprintPiers W. Lawrence and Javier Perez, SIAM Journal on Matrix Analysis and Applications, 38(3), pp. 683-709.
Backward error analysis of polynomial eigenvalue problems solved by linearizationPiers W. Lawrence, Marc Van Barel, and Paul Van Dooren, SIAM Journal on Matrix Analysis and Applications, 37(1) (2016), pp. 123-144.
Backward Error of Polynomial Eigenvalue Problems Solved by Linearization of Lagrange InterpolantsPiers W. Lawrence and Robert M. Corless, SIAM Journal on Matrix Analysis and Applications, 36(4) (2015), pp. 1425-1442.
Stability of rootfinding for barycentric Lagrange interpolantsPiers W. Lawrence and Robert M. Corless, Numerical Algorithms, 65(3) (2014), pp. 447-464.
Fast reduction of generalized companion matrix pairs for barycentric Lagrange interpolantsPiers W. Lawrence, SIAM Journal on Matrix Analysis and Applications, 34(3) (2013), pp. 1277-1300.
The largest roots of the Mandelbrot polynomialsRobert M. Corless and Piers W. Lawrence. In D. Bailey, H.H. Bauschke, P. Borwein, F. Garvan, M. Thera, J. Vanderwerff and H. Wolkowicz, editors, Computational and Analytical Mathematics, vol. 50 of Springer Proceedings in Mathematics & Statistics, Springer New York, 2013, pp. 305-324.
Algorithm 917: Complex Double-Precision Evaluation of the Wright ω function ImplementationPiers W. Lawrence, Robert M. Corless and David J. Jeffrey. ACM Transactions on Mathematical Software, 38(3) (2012): 20.
Numerical Stability of Barycentric Hermite RootfindingPiers W. Lawrence and Robert M. Corless. In Marc Moreno Maza, editor, Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation, ACM, 2011, pp. 147-148.
The Impact of Parameter Identification Methods on Drug Therapy Control in an Intensive Care UnitC.E. Hann, J.G. Chase, M.F. Ypma, J. Elfring, N.H.M. Nor, P.W. Lawrence and G.M. Shaw. The Open Medical Informatics Journal, 2 (2008), pp. 92-104.
Conference Presentations
New perspectives on Mandelbrot matricespresented at the Manchester workshop on Bohemian matrices and applications, Manchester, UK, 20-22 June 2018
LoRa Congo: low-power, long-range monitoring technology for development projects in DR Congopresented at the imec SuperMinds 2016 conference, Brussels, 27 Oct. 2016.
Structured backward error analysis of eigenvalue problems solved by linearizationPiers Lawrence, Marc Van Barel, and Paul Van Dooren, presented at the Mat Triad 2015, conference on Matrix Analysis and its Applications, Coimbra, Portugal, 7-11 September 2015.
Backward error of polynomial eigenvalue problems solved by LinearizationPiers W. Lawrence, Marc Van Barel, Paul Van Dooren, presented at the GAMM 86th Annual Meeting of the International Association of Applied Mathematics and Mechanics, Lecce, Italy, 23-27 March 2015.
On the stability of polynomial eigenvalue problems solved via linearizationPiers Lawrence, Marc Van Barel, and Paul Van Dooren, presented at the 10th International Workshop on Accurate Solution of Eigenvalue Problems, Dubrovnik, Croatia, 2-5 June 2014.
Linearizations for Interpolation BasesPiers Lawrence, presented at the Manchester Workshop on Nonlinear Eigenvalue Problems, Manchester, UK, 2014.
Rootfinding for Polynomial and Rational InterpolantsPiers Lawrence, presented at 3rd Dolomites Workshop on Constructive Approximation and Applications (DWCAA12), Alba di Canazei, Italy.
Eigenstructure of an Arrowhead Matrix PencilPiers Lawrence and Rob Corless, presented at ICIAM 2011, Vancouver, Canada.
Numerical Stability of Barycentric Hermite RootfindingPiers Lawrence and Rob Corless, presented at Symbolic Numeric Computation 2011, San Jose, USA.
On the Stability of Barycentric Hermite RootfindingPiers Lawrence and Rob Corless, presented at SONAD 2011, McMaster University, Hamilton, Canada.
Event handling with barycentric Hermite interpolationPiers Lawrence, Rob Corless, Ned Nedialkov, presented at CAIMS*SCMAI 2010, St John’s, Canada.
Seminar Presentations
From Fiedler factorizations to block-Kronecker pencilspresented at the Department of Mathematics, Statistics and Computing, University of Cantabria, Santander, Spain, June 2019.
Fiedler-like linearizations for polynomial matricesJoint work with Paul Van Dooren, Froilan Dopico, and Javier Perez, presented at the Department of Computer Science, KU Leuven, Leuven, Belgium, November 2015.
Semi-practical algorithms for computing the periodic points of the Mandelbrot setpresented at the Department of Mathematics, KU Leuven, Leuven, Belgium.
Barycentric Lagrange Interpolation and Rootfindingpresented at the Department of Mathematical Engineering, UC Louvain, Louvain-la-Neuve, Belgium, October 2013.
Posters
Linearizations for interpolation basesPiers Lawrence, Marc Van Barel, and Paul Van Dooren, presented at the IAP DYSCO Study Day: Dynamical systems, control and optimization, 2014, University of Namur, Namur, Belgium.
Mandelbrot Polynomials and MatricesPiers Lawrence and Rob Corless, presented at the IAP DYSCO Study Day: Dynamical systems, control and optimization, 2013, Palais des Académies, Brussels, Belgium.
Mandelbrot Polynomials and MatricesPiers Lawrence and Rob Corless, presented at the East Coast Computer Algebra Day (ECCAD) 2012, Oakland University, Rochester, Michigan, USA.
Computing Roots of Mandelbrot PolynomialsPiers Lawrence and Rob Corless, presented at the East Coast Computer Algebra Day (ECCAD) 2011, The University of Waterloo, Waterloo, Canada.
Technical Reports
Structured backward error analysis of polynomial eigenvalue problems solved by linearizationLawrence, Piers W., Van Barel, Marc, and Van Dooren, Paul
TW Reports, TW661, Department of Computer Science, KU Leuven, June 2015.
Lawrence, Piers W., and Corless, Robert M.
TW Reports, TW655, Department of Computer Science, KU Leuven, February 2015.
Piers Lawrence, Michael Stuart, Richard Brown, Warwick Tucker and Raazesh Sainudiin.
Indian Statistical Institute Technical Report, isibang/ms/2010/11, October 25, 2010
Theses
Eigenvalue Methods for Interpolation BasesPiers W. Lawrence, PhD thesis, Department of Applied Mathematics, The University of Western Ontario, 2013.
Parameter estimation techniques for insulin-glucose models.Piers W. Lawrence, Honours Thesis, Department of Mathematics and Statistics, University of Canterbury, 2008