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An Introduction to Polynomial and Semi-Algebraic Optimization
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Type: BOOK - Published: 2015-02-19 - Publisher: Cambridge University Press

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The first comprehensive introduction to the powerful moment approach for solving global optimization problems.
Genericity In Polynomial Optimization
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Type: BOOK - Published: 2016-12-22 - Publisher: World Scientific

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In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent develop
Moments, Positive Polynomials and Their Applications
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Authors: Jean-Bernard Lasserre
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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 -
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
Handbook on Semidefinite, Conic and Polynomial Optimization
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Semidefinite and conic optimization is a major and thriving research area within the optimization community. Although semidefinite optimization has been studied