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SIAM CSE23 minisymposium on “Mixed precision algorithms in numerical linear algebra”

Erin Carson, Nick Higham, and Theo Mary organized a double minisymposium “Mixed Precision Algorithms in Numerical Linear Algebra” (Part I, Part II) at the SIAM Conference on Computational Science and Engineering (CSE23), which took place in Amsterdam on February 26 – March 3, 2023.

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.

Nick Higham Elected International Member of US National Academy of Engineering

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”.

Doe more details see

Nick Higham

Numerical Linear Algebra Group Activities 2022

During 2022 the Numerical Linear Algebra Group introduced a new logo, designed by Massimiliano Fasi, former PhD student and Research Associate in the group.

We published interviews with alumni Younes Chahlaoui and Vanni Noferini.

In addition to our papers in journals we published articles in SIAM News:

and a book

The award of the ACM A. M. Turing Award to Jack Dongarra was a highlight.

PhD Students

Zhengbo Zhou started as a PhD student, working with Nick Higham and Françoise Tisseur.

Xiaobo Liu (Computing Matrix Functions in Arbitrary Precision Arithmetic) and Michael Connolly (Probabilistic Rounding Error Analysis for Numerical Linear Algebra) successfully defended their PhD dissertations. Michael is now working as a data scientist at Bet365.

Postdoctoral Research Associates (PDRAs)

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.

Presentations at Conferences and Workshops

International Congress of Mathematics (ICM), July 6–14, 2022: Higham, invited sectional talk Numerical Stability of Algorithms at Extreme Scale and Low Precisions (slides, video).

A Journey in Numerical Linear Algebra: A Workshop in Honor of Michele Benzi’s 60th Birthday, University of Pisa, June 10–11, 2022: Higham.

Linear Algebra, Matrix Analysis and Applications-ALAMA 2022-ALN2gg, Madrid, 1–3 June 2022: Tisseur.

Householder Symposium XXI on Numerical Linear Algebra, Selva di Fasano, Italy, 12–17 June 2022: Fasi, Tisseur.

Computational Mathematics for Quantum Technologies, Bath, August 1–5, 2022: Güttel.

7th IMA Conference on Numerical Linear Algebra and Optimization, University of Birmingham, June 29–July 1, 2022: Liu, McInnerney.

2022 SIAM Annual Meeting, July 11–15, 2022: Liu.

Conference and Workshop Organization

Sixteen members of the Group attended a two-day creativity Workshop held in April 2022, facilitated by Dennis Sherwood, an expert in creativity. See this report on the workshop.

Mantas Mikaitis and Nick Higham organized a double minisymposium Understanding and Exploiting Mixed-Precision Accelerators for High-Performance Computing at the SIAM Conference on Parallel Processing for Scientific Computing (PP22) in February 2022. Slides of some of the talks are available.

The conference Advances in Numerical Linear Algebra: Celebrating the 60th Birthday of Nick Higham was held at the University of Manchester, July 6–8, 2022, organized by Stefan Güttel, Sven Hammarling, Stephanie Lai, Françoise Tisseur and Marcus Webb. Most of the talks are available on the NLA Group YouTube channel and links to them are available on the conference web page. Photos are available here.

Recognition and Service

Jack Dongarra received the 2021 ACM A.M. Turing Award.

Nick Higham was elected Fellow of Royal Academy of Engineering.

Stefan Güttel was awarded the 2023 ILAS Taussky–Todd Prize.

Stefan Güttel was reappointed for another term as a member of the SIAM Membership Committee, 1/1/2023–12/31/2025.

Stefan Güttel Awarded 2023 ILAS Taussky-Todd Prize

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.

Professor Güttel will deliver a prize lecture at the 25th ILAS Conference in Madrid, 12 to 16 June 2023.

Nick Higham Elected Fellow of Royal Academy of Engineering

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 full citation is at

Nick Higham

A Logo for the Numerical Linear Algebra Group


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.

Nick Higham to give International Congress of Mathematicians Lecture

Professor Nick Higham will give an invited sectional talk at the International Congress of Mathematics (ICM), to be held July 8–12, 2022.

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

2022 NLA group photo

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.

Jack Dongarra Receives 2021 ACM A.M. Turing Award

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.

In summer 2021 the NLA Group organized a workshop New Directions in Numerical Linear Algebra and High Performance Computing: Celebrating the 70th Birthday of Jack Dongarra. Videos of talks, including one by Dongarra, are available here and provide much insight into Dongarra’s career and achievements.

The photo below shows Dongarra speaking at the 2019 Manchester workshop Advances in Numerical Linear Algebra: Celebrating the Centenary of the Birth of James H. Wilkinson. Wilkinson, seen at the top eight-hand corner of the slide, won the Turing Award in 1971.


Jack Dongarra

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