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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
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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
Semidefinite Optimization and Convex Algebraic Geometry
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An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science