2 papers
cs.MS2024
Extrapolating Solution Paths of Polynomial Homotopies towards Singularities with PHCpack and phcpy
Jan Verschelde, Kylash Viswanathan
PHCpack is a software package for polynomial homotopy continuation, which provides a robust path tracker [Telen, Van Barel, Verschelde, SISC 2020]. This tracker computes the radius…
math.NA2024
Extrapolating on Taylor Series Solutions of Homotopies with Nearby Poles
Jan Verschelde, Kylash Viswanathan
A polynomial homotopy is a family of polynomial systems in one parameter, which defines solution paths starting from known solutions and ending at solutions of a system that has to…