38 citations · 89 across the 29 of their papers we have counts for
4 papers · 1 filter
Multiregeneration for polynomial system solving
Colin Crowley, Jose Israel Rodriguez, Jacob Weiker +1
We demonstrate our implementation of a continuation method as described in \cite{HR2015} for solving polynomials systems. Given a sequence of (multi)homogeneous polynomials, the so…
A numerical toolkit for multiprojective varieties
Jonathan D. Hauenstein, Anton Leykin, Jose Israel Rodriguez +1
A numerical description of an algebraic subvariety of projective space is given by a general linear section, called a witness set. For a subvariety of a product of projective space…
Defect of Euclidean distance degree
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang
Two well studied invariants of a complex projective variety are the unit Euclidean distance degree and the generic Euclidean distance degree. These numbers give a measure of the al…
Euclidean distance degree of projective varieties
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang
We give a positive answer to a conjecture of Aluffi-Harris on the computation of the Euclidean distance degree of a possibly singular projective variety in terms of the local Euler…