Important Note

The CIMPA Research School “Structure and Geometry in Matrix Analysis and Computations” scheduled to be held in Tunis from May 26 to June 4, 2020 has been postponed. The organizers together with the CIMPA supervisor reached the conclusion that, based on the current pattern of the CoViD-19 pandemic and the preventive measures taken by the Tunisian authorities, it would be very unlikely that we will be able to hold the meeting in those dates. We will try to reschedule the research school for a future date. When available, the new dates will be posted on the school website: http://enit-lr.tn/cimpa2020/

   

Presentation

This research school features lectures of the world-leading experts that have driven recent developments on Structure and Geometry in Matrix Analysis and Computations. The participants of the school will benefit from being trained to be at the forefront of research on structured matrix and geometry-based algorithms, empowering them to make contributions to the state-of-the-art. Since this field touches upon a variety of mathematical fields, such as differential and algebraic geometry, linear algebra, numerical analysis, and optimization, the research theme of the school is a beautiful example for the need of merging seemingly distant mathematical concepts to make progress.

Structure is central to matrix computations. It often reflects properties of the underlying application, such as symmetries, and redundancy introduced during linearization or discretization processes. The exploitation of structure is often mandatory in numerical algorithms, not only to attain efficiency but also to avoid that roundoff and other errors lead to physically meaningless or spurious solutions. During the last decade significant progress has been made in this area in the context of solving polynomial systems, eigenvalue problems, and matrix equations as well as in the design of algorithms that build upon the geometry of nonlinear structures. This research school features lectures of the world-leading experts that have driven these recent developments.