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   -

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).

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