24 citations · 85 across the 39 of their papers we have counts for
Showing 2016Show all
3 papers · 1 filter
math.NA2016
The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial Homotopies
Nathan Bliss, Jan Verschelde
We consider the extension of the method of Gauss-Newton from complex floating-point arithmetic to the field of truncated power series with complex floating-point coefficients. With…
cs.SC2016
Computing all Space Curve Solutions of Polynomial Systems by Polyhedral Methods
Nathan Bliss, Jan Verschelde
A polyhedral method to solve a system of polynomial equations exploits its sparse structure via the Newton polytopes of the polynomials. We propose a hybrid symbolic-numeric method…
cs.CG2016★ 3 cited
Computing Pretropisms for the Cyclic n-Roots Problem
Jeff Sommars, Jan Verschelde
The cyclic n-roots problem is an important benchmark problem for polynomial system solvers. We consider the pruning of cone intersections for a polyhedral method to compute series…