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math.AG2019
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation
Simon Telen, Marc Van Barel, Jan Verschelde
We propose a new algorithm for numerical path tracking in polynomial homotopy continuation. The algorithm is `robust' in the sense that it is designed to prevent path jumping and i…
math.AG2017★ 2 cited
Solving Polynomial Systems via a Stabilized Representation of Quotient Algebras
Simon Telen, Bernard Mourrain, Marc Van Barel
We consider the problem of finding the isolated common roots of a set of polynomial functions defining a zero-dimensional ideal I in a ring R of polynomials over C. We propose a ge…