Advances in Numerical Linear Algebra: Celebrating the Centenary of the Birth of James H. Wilkinson, May 29-30, 2019
This international workshop focuses on numerical linear algebra (NLA) and will bring together researchers working in NLA to discuss current developments, challenges in the light of evolving computer hardware and the changing needs of applications.
2019 is the centenary of the birth of James Hardy Wilkinson, FRS and Turing Prize winner (1970). See our website about Wilkinson. Wilkinson developed the theory and practice of backward error analysis, particularly in the context of NLA, and produced detailed analyses of algorithms and software implementing those algorithms. He worked with Turing at NPL in the 1940s, and took over the development of the Pilot ACE computer when Turing left NPL. Wilkinson’s legacy endures and one of the aims of the workshop is to take stock of what has changed in error analysis since Wilkinson’s era and to discuss current challenges and ways to approach them.
- Jack Dongarra, University of Tennessee, Oak Ridge Laboratory and University of Manchester
- Stefan Güttel, University of Manchester
- Sven Hammarling, University of Manchester
- Nick Higham, University of Manchester
- Ilse Ipsen, North Carolina State University
- Volker Mehrmann, Technische Universität Berlin
- Cleve Moler, MathWorks
- Yuji Nakatsukasa, University of Oxford
- Jennifer Pestana, University of Strathclyde
- Françoise Tisseur, University of Manchester
- Margaret Wright, Courant Institute of Mathematical Sciences
- Nick Trefethen, University of Oxford
- Mawussi Zounon, The Numerical Algorithms Group
Highlights of the Meeting
For a summary of the meeting and photos from it, see Highlights of Advances in Numerical Linear Algebra Conference.
Wednesday May 29
Session 1. Chair: Nick Higham
|08.30-09.00||Registration & Coffee|
|09.00-09.15||Nick Higham (The University of Manchester):
Welcome. Video (YouTube)
|09.15-09.40||Sven Hammarling (The University of Manchester):
James Hardy Wilkinson. Video (YouTube)
|09.45-10.10||Cleve Moler (MathWorks):
Eigenvalue Dating Service. Video (YouTube)
|10.15-10.40||Jack Dongarra (University of Tennessee, Oak Ridge Laboratory and University of Manchester):
Software for Linear Algebra Targeting Exascale (SLATE). Video (Yotube)
|10.45-11.15||Coffee and posters|
|11.15-11.40||Volker Mehrmann (Technische Universität Berlin):
Eigenvalue computation for structured problems. A Wilkinson heritage. Video (YouTube)
|11.45-12.00||Erin Carson (Charles University):
On the Amplification of Rounding Errors. Video (YouTube)
|12.05-12.20||Philip Knight (University of Strathclyde) :
Perturbing doubly stochastic matrices. Video (YouTube)
|12.25-12.40||Srikara Pranesh (The University of Manchester):
Squeezing a Matrix Into Half Precision, with an Application to Solving Linear Systems.
|12.45-14.00||Lunch and posters|
Session 2. Chair: Jack Dongarra
|14.00-14.25||Margaret Wright (Courant Institute of Mathematical Sciences, New York University):
Lessons Taught by James Wilkinson. Video (YouTube)
|14.30-14.55||Nick Trefethen (University of Oxford):
Wilkinson, Numerical Analysis, and Me. Video (YouTube)
|15.00-15.25||Nick Higham (The University of Manchester):
Probabilistic Versus Worst-Case Rounding Error Analysis. Video (YouTube)
|15.30-16.00||Tea and posters|
|16.00-16.15||Marcus Webb (KU Leuven, Belgium):
Redundant yet rapid approximation of functions. Video (YouTube)
|16.20-16.35||Zdenek Strakos (Charles University):
The perfidious condition number. Video (YouTube)
|16.40-16.55||Zlatko Drmac (University of Zagreb):
Advances in high accuracy matrix computations. Video (YouTube)
|17.00-18.00||Reception and poster session|
Thursday May 30
Session 3. Chair: Sven Hammarling
|09.00-09.25||Ilse Ipsen (North Carolina State University):
Probabilistic roundoff error analysis for fundamental matrix computations
|09.30-09.55||Stefan Güttel (The University of Manchester):
Insights into block rational Krylov methods
|10.00-10.25||Françoise Tisseur (The University of Manchester):
Wilkinson’s Improvement Algorithm and Mixed Precision Eigensolvers
|10.30-11.00||Coffee and posters|
|11.00-11.25||Jennifer Pestana (University of Strathclyde):
Preconditioned iterative methods for Toeplitz systems
|11.30-11.55||Mawussi Zounon (The Numerical Algorithms Group):
Numerical Linear Algebra Routines for Emerging Computer Architectures
|12.00-12.25||Yuji Nakatsukasa (University of Oxford):
Stable and efficient QR factorization and least-squares solver based on CholeskyQR
|12.30-14.00||Lunch and posters|
Session 4. Chair: Françoise Tisseur
|14.00-14.15||Joao Cardoso (Coimbra Polytechnic-ISEC, Portugal):
Computation of Matrix Gamma Function
|14.20-14.35||Jonathan Cockayne (University of Warwick):
Probabilistic Linear Solvers
|14.40-14.55||Lawrence Mulholland (The Numerical Algorithms Group):
Creating an Adjoint Library from the NAG Primal Code Base
|15.00-15.15||Vanni Noferini (Aalto University):
Wilkinson’s bus: weak condition numbers, with applications
|15.25||Tea and close|
Abstracts are now available.
Here is the group photo from the meeting (hires version).
The conference is now fully subscribed and registration is closed.
Contributed Talks and Posters
Delegates can submit, during the registration process, abstracts for consideration as a 15 minute talk or poster presentation. A limited number can be accepted because of time and space constraints. For full consideration you should register by April 1, 2019.
Student and Early Career Funding
A limited amount of funding, up to £150 per applicant, is available to support travel and accommodation for PhD students and early career researchers. This can be requested during the registration process. For full consideration you should register by April 1, 2019.
The Royal Society, The Alan Turing Institute, The QJMAM Fund for Applied Mathematics, The Numerical Algorithm Group and National Physical Laboratory.
All talks will take place in Frank Adams Room 1 in the Alan Turing Building of the School of Mathematics at the University of Manchester.The building is 20 minutes walk from the city centre and 15 minutes walk from Piccadilly or Oxford Road train stations; see how to get here.
The organizers are Sven Hammarling, Nick Higham, and Françoise Tisseur.