ANNULÉE - Structure and Geometry in Matrix Analysis and Computations






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 at the forefront of research on structured matrix and geometry-based algorithms, empowering them to make contributions to the state-of-the-art. Structure is central to matrix computations. lt 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 nonlinear matrix equations as well as in the design of algorithms that build upon the geometry of non li near structures.

Language officielle de l'école : anglais

Coordinateurs administratifs et scientifiques

Maher MOAKHER (National Engineering School of Tunis,
, )
Daniel KRESSNER (Swiss Federal Institute of Technology, Lausanne (EPFL),
, )

Programme scientifique

Cours 1: "Introduction to Matrix Analysis", Zeineb CHEBBI (Faculty of Sciences of Bizerte, Tunisie)

Cours 2: "Efficient Algorithms for the Matrix Geometric Means", Bruno IANNAZZO (University of Perugia, Italie)

Cours 3: " Numerical Solution of Some Nonlinear Matrix Equations", Federico POLONI (University of Pisa, Italie)

Cours 4: "Bezout Matrices", Gema DIAZ-TOCA (University of Murcia, Espagne)

Cours 5: "Numerical Solution of Polynomial Eigenvalue Problems", Floilan MARTINEZ DOPICO (University of Carlos III, Madrid, Espagne)

Cours 6: "The Riemannian and Information Geometries of Positive-definite Matrices and their Applications", Maher MOAKHER (National Engineering School of Tunis, Tunisie)

Site internet de l'école

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