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1. The generalized moment problem. 1.1. Formulations. 1.2. Duality theory. 1.3. Computational complexity. 1.4. Summary. 1.5. Exercises. 1.6. Notes and sources -
Positive Polynomials and Sums of Squares
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The study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry when study
Certificates of Positivity for Real Polynomials
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This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semial
Polynomial Optimization, Moments, and Applications
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Polynomial optimization is a fascinating field of study that has revolutionized the way we approach nonlinear problems described by polynomial constraints. The
Positive Polynomials in Control
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Authors: Didier Henrion
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Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this