Minisymposium abstract: The increasing support of lower precision arithmetics in hardware provides new opportunities for high performance scientific computing. However, even though low precision arithmetics can provide significant speed, communication, and energy benefits, their use in scientific computing poses the challenge of preserving the accuracy and stability of the computation. To address this issue, a variety of mixed precision algorithms that combine low and high precisions have emerged. This MS will discuss recent advances in mixed precision algorithms for a broad range of numerical linear algebra computations, including matrix multiplication, matrix factorizations, iterative solvers, least-square problems, and matrix and tensor low-rank approximations.
Below we provide the slides of the ten talks that were delivered during this minisymposium.
Congratulations to Professor Nick Higham, who has been elected an International Member of the US National Academy of Engineering. The citation reads “For design and analysis of matrix algorithms widely used in diverse engineering applications”.
Xiaobo Liu and Bastien Vieuble took up PDRA positions towards the end of the year to work with Nick Higham.
Mantas Mikaitis left the group to take up a lectureship in the School of Computing at the University of Leeds on September 1st. He joined us in 2019 to take up his EPSRC Doctoral Prize Fellowship and he was a PDRA in the group from 2020.
Professor Stefan Güttel has been awarded the Taussky–Todd Prize by the International Linear Algebra Society (ILAS).
The ILAS Taussky-Todd Prize is given every three years at an ILAS Conference to an outstanding mid-career researcher in the field of linear algebra, for distinguished contributions to the field within about fifteen years of receiving the PhD or equivalent degree.
The 2023 ILAS Taussky–Todd Prize honours Professor Güttel’s “deep and impactful work on rational Krylov methods for nonlinear eigenvalue problems and matrix functions, in all aspects: analysis, software development, and applications”.
The prize is named for Olga Taussky and John Todd, who had a decisive impact on the development of theoretical and numerical linear algebra for over half a century. It honours them for their many and varied mathematical achievements and for their efforts in promoting linear algebra and matrix theory.
Congratulations to Professor Nick Higham, who has been elected Fellow of Royal Academy of Engineering, in recognition for developing “theory, algorithms and software that have had major impacts on engineering practice in fields ranging from structural engineering to financial modelling”.
The Numerical Linear Algebra Group recently held a competition amongst its members to design a logo for the group. Chosen from among four excellent entries, the winner was designed by Max Fasi, former PhD student and Research Associate in the group and now an external member of it.
The logo contains a matrix with a sparsity pattern that depicts a bee, the symbol of the city of Manchester since 1842. The bee symbolized the hard work of Mancunians during the industrial revolution.
You’ll see the logo on our slides and our social media accounts, and perhaps on physical items in due course.
The 2022 ICM is taking place virtually and Nick will deliver his lecture, titled “Numerical Stability of Algorithms at Extreme Scale and Low Precisions”, in person at an overlay conference at Imperial College,
The ICM is the largest conference on mathematics, takes place every four years, and was first held in 1897.
Professor Nicholas J. Higham, University of Manchester
A new group photo was taken on May 16, 2022—our first in over two years. Most group members are in the photo.
A high resolution version of the photo is available here.
Numerical Linear Algebra Group. By row from the back: Mantas Mikaitis, Xinye Chen, Alban Bloor Rile, Xiaobo (Bob) Liu, Michael Connolly, Nick Higham, Sven Hammarling, Stefan Güttel, Ian McInerney, Bastien Vieuble, Ayana Mussabayeva, Thomas Seleiro, Françoise Tisseur, Marcus Webb.
Congratulations to Jack Dongarra who has received the 2021 ACM A.M. Turing Award. He is cited “for pioneering contributions to numerical algorithms and libraries that enabled high performance computational software to keep pace with exponential hardware improvements for over four decades.”
Dongarra has been Turing Fellow in the Department of Mathematics since 2007, and also holds appointments at the University of Tennessee and Oak Ridge National Laboratory.