On the geometry of polar varieties

We have developed in the past several algorithms with intrinsic complexity bounds for the problem of point finding in real algebraic varieties. Our aim here is to give a comprehensive presentation of the geometrical tools which are necessary to prove the correctness and complexity estimates of these...

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Bibliographic Details
Published in:	Applicable algebra in engineering, communication and computing Vol. 21; no. 1; pp. 33 - 83
Main Authors:	Bank, Bernd, Giusti, Marc, Heintz, Joos, Safey El Din, Mohab, Schost, Eric
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.01.2010 Springer Verlag
Subjects:	Artificial Intelligence Computer Hardware Computer Science Symbolic and Algebraic Manipulation Theory of Computation 68W30 Dual polar varieties Classic polar varieties Singularities 14Q10 Real polynomial equation solving Meagerly generic polar varieties 14P05 14Q15 Generic polar varieties 14B05
ISSN:	0938-1279, 1432-0622
Online Access:	Get full text
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