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• W2950314807 abstract "Given a polynomial system f, a fundamental question is to determine if f has real roots. Many algorithms involving the use of infinitesimal deformations have been proposed to answer this question. In this article, we transform an approach of Rouillier, Roy, and Safey El Din, which is based on a classical optimization approach of Seidenberg, to develop a homotopy based approach for computing at least one point on each connected component of a real algebraic set. Examples are presented demonstrating the effectiveness of this parallelizable homotopy based approach." @default.
• W2950314807 created "2019-06-27" @default.
• W2950314807 creator A5007214938 @default.
• W2950314807 date "2011-05-31" @default.
• W2950314807 modified "2023-09-27" @default.
• W2950314807 title "Numerically computing real points on algebraic sets" @default.
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• W2950314807 hasPublicationYear "2011" @default.
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