A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems

A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems

In this paper, by transforming the given over-determined system into a square system, we prove a necessary and sufficient condition to certify the simple real zeros of the over-determined system by certifying the simple real zeros of the square system. After certifying a simple real zero of the rela...

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Bibliographic Details
Main Authors: Xiaojie Dou, Jin-San Cheng
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Mathematics
Subjects:
over-determined polynomial system
isolated zeros
minimum point
sum of squares
interval methods
Online Access:http://www.mdpi.com/2227-7390/6/9/166

Internet

http://www.mdpi.com/2227-7390/6/9/166

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