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Department of Mathematics

Numerical linear algebra

Numerical linear algebra is at the heart of computational algorithms used in science and engineering, and in industry.

We develop theory, algorithms and software for linear systems, eigenvalue problems, matrix functions, and other problems. These problems have broad applications in many practical areas, including machine learning.

With around 20 members, we are one of the largest numerical linear algebra groups in the world. Our funders include EPSRC, MathWorks, The Royal Society and Innovate UK. We work with industrial partners including Arup, MathWorks, the Numerical Algorithms Group and Sabisu.

We are actively engaged in research projects related to a wide range of topics, including:

  • High performance computing
  • Eigenvalue problems, especially in structural engineering
  • Analysis of accuracy and stability of algorithms
  • Mixed precision algorithms
  • Structured matrix problems

More information about our research outputs and research-related activities can be found by browsing the webpages of the staff listed on the right. Potential PhD students may email academic staff directly to discuss possible projects. More information about the activities of the group can be found on the group's website: