FoCM 2014 conference
Workshop C1 - Computational Algebraic Geometry
December 20, 17:00 ~ 17:20 - Room B11
Newton homotopies and certification
Jonathan Hauenstein
University of Notre Dame, USA - hauenstein@nd.edu
A homotopy in which only the constant terms change is called a Newton homotopy. Such homotopies are used in moving robots, solving PDEs, and performing monodromy loops. This talk will introduce computations involving Newton homotopies, methods for a priori and a posteriori path tracking for Newton homotopies, and complexity results.
Joint work with Ian Haywood (North Carolina State University, USA) and Alan Liddell (University of Notre Dame, USA).