Theory and Applications of Numerical Algebraic Geometry

Polynomials are everywhere. Designing windshield wiper mechanisms, modeling stoichiometric chemical reactions, nonlinear optimization and control, and many other scenarios, all generate polynomial systems -- and demand they be solved. The functions can be univariate, or multivariate. The systems can be structured, or dense. The solutions can be sets of points, or entire positive-dimensional spaces. And they can be computed in a variety of ways. Numerical algebraic geometry is a field of computational mathematics which solves and manipulates polynomial systems primarily using numerical continuation. The field is highly application-driven, and continues to mature, both in terms of theoretical boundaries and software implementations. Horizons include self-tuning trackers and systems having billions of solutions. This talk will discuss numerical algebraic geometry -- its motivations, incarnations, and applications. Esta es la última charla del año. Están todos invitados a tomar un café a las13:00, antes del seminario.
  • Theory and Applications of Numerical Algebraic Geometry
  • 2018-12-10T13:30:00-03:00
  • 2018-12-10T14:30:00-03:00
  • Polynomials are everywhere. Designing windshield wiper mechanisms, modeling stoichiometric chemical reactions, nonlinear optimization and control, and many other scenarios, all generate polynomial systems -- and demand they be solved. The functions can be univariate, or multivariate. The systems can be structured, or dense. The solutions can be sets of points, or entire positive-dimensional spaces. And they can be computed in a variety of ways. Numerical algebraic geometry is a field of computational mathematics which solves and manipulates polynomial systems primarily using numerical continuation. The field is highly application-driven, and continues to mature, both in terms of theoretical boundaries and software implementations. Horizons include self-tuning trackers and systems having billions of solutions. This talk will discuss numerical algebraic geometry -- its motivations, incarnations, and applications. Esta es la última charla del año. Están todos invitados a tomar un café a las13:00, antes del seminario.
  • When 10/12/2018 de 13:30 a 14:30 (America/Montevideo / UTC-300)
  • Where CMat, Salón de seminarios del piso 14.
  • Contact
  • Speaker Prof. Dr. Danielle Brake
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