Certifying zeros of polynomial systems using interval arithmetic

We establish interval arithmetic as a practical tool for certification in numerical algebraic geometry. Our software HomotopyContinuation.jl now has a built-in function certify, which proves the correctness of an isolated nonsingular solution to a square system of polynomial equations. The implement...

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Bibliographische Detailangaben

Hauptverfasser:	Breiding, Paul, Rose, Kemal, Timme, Sascha
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry
Online-Zugang:	Volltext bestellen
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