Scott R. Pope

Works (1)

Updated: July 5th, 2023 15:50

2009 journal article

Nearest multivariate system with given root multiplicities

JOURNAL OF SYMBOLIC COMPUTATION, 44(6), 606–625.

By: S. Pope n & A. Szanto n 

author keywords: Approximate polynomial systems; Multiple roots; Multiplicity structure; Weierstrass iteration
TL;DR: A symbolic-numeric technique to find the closest multivariate polynomial system to a given one which has roots with prescribed multiplicity structure and a simplified version of the iteration function analogously to the classical Weierstrass iteration, which allows a component-wise expression, and thus reduces the computational cost of each iteration. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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