New Directions in Applied Linear Algebra (23w5004)


Jon Cockayne (University of Southampton)

(University of Edinburgh)

Jennifer Pestana (University of Strathclyde)

(University of Manchester)

Valeria Simoncini (Università di Bologna)


The Banff International Research Station will host the "New Directions in Applied Linear Algebra" workshop in Banff from August 27 to September 1, 2023.

Linear algebra is a fundamental component of pure and applied mathematics. Further, it is now well established that bespoke numerical linear algebra techniques, including the design of direct and iterative methods, are a vital component of solvers for huge-scale problems arising from a wide range of scientific, engineering, and industrial applications. Research and development in numerical linear algebra includes theoretical studies, algorithmic implementations on advanced computer architectures, and applications to various disciplines, with the landscape undergoing substantial change of late as a result of new challenges from data science.

This workshop focuses on addressing general theoretical problems that underpin cutting-edge applications of linear algebra, including low-rank approximation and tensor decomposition, optimization, machine learning, nonlocal network dynamics, and uncertainty quantification. By bringing together experts from these different communities at a BIRS workshop, new insights in applied linear algebra will be brought to these challenging problems, which we expect to generate significant advances to state-of-the-art computational algorithms in the next decade.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).