Fall 2014

Polynomial Solving Seminar

Thursday, October 9th, 2014, 11:00 am12:00 pm

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Jonathan Hauenstein (University of Notre Dame)


Calvin Lab 116

Numerical Techniques for Singular Solutions and Positive‑dimensional Components

Due to the necessary ill-conditioning in small neighborhoods of singular solutions, special methods are used to perform numerical computations associated with singular solutions. This talk will summarize so-called deflation or regularization methods used in numerical algebraic geometry. It will conclude with a geometric description of a witness set, which is the data structure used in numerical algebraic geometry for representing positive-dimensional irreducible algebraic sets.