Certified Hermite matrices from approximate roots

Let I=〈f1,…,fm〉⊂Q[x1,…,xn] be a zero dimensional radical ideal defined by polynomials given with exact rational coefficients. Assume that we are given approximations {z1,…,zk}⊂Cn for the common roots {ξ1,…,ξk}=V(I)⊆Cn. In this paper we show how to construct and certify the rational entries of Hermit...

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Bibliographic Details

Published in:	Journal of symbolic computation Vol. 117; pp. 101 - 118
Main Authors:	Ayyildiz Akoglu, Tulay, Szanto, Agnes
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.07.2023
Subjects:	Approximate roots Certification Hermite matrices Polynomial systems Symbolic–numeric computation Approximate roots Hermite matrices Polynomial systems Symbolic–numeric computation Certification
ISSN:	0747-7171, 1095-855X
Online Access:	Get full text
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