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math.NA2024
GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision
Jan Verschelde
A polynomial homotopy is a family of polynomial systems, typically in one parameter . Our problem is to compute power series expansions of the coordinates of the solutions in th…
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…