A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Decomposing Solution Sets of Polynomial Systems Using Derivatives
[chapter]

2016
*
Lecture Notes in Computer Science
*

A core computation in numerical algebraic geometry is the decomposition of the solution set of a system of polynomial equations into irreducible components, called the numerical irreducible decomposition. One approach to validate a decomposition is what has come to be known as the "trace test." This test, described by Sommese, Verschelde, and Wampler in 2002, relies upon path tracking and hence could be called the "tracking trace test." We present a new approach which replaces path tracking

doi:10.1007/978-3-319-42432-3_16
fatcat:eugxstgp4bf6nklwk4ia53oeta