Global optimization of polynomials restricted to a smooth variety using sums of squares

Author:

Greuet Aurélien,Guo Feng,Safey El Din Mohab,Zhi Lihong

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference32 articles.

1. Introduction to Commutative Algebra;Atiyah,1969

2. Polar varieties and efficient real equation solving: the hypersurface case;Bank;J. Complexity,1997

3. Generalized polar varieties: geometry and algorithms;Bank;J. Complexity,2005

4. On the geometry of polar varieties;Bank;Appl. Algebra Engrg. Comm. Comput.,2010

5. There are significantly more nonnegative polynomials than sums of squares;Blekherman;Israel J. Math.,2006

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