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An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science
Approximation Algorithms and Semidefinite Programming
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Semidefinite programs constitute one of the largest classes of optimization problems that can be solved with reasonable efficiency - both in theory and practice
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
Moments, Positive Polynomials and Their Applications
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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 -
Algorithms in Real Algebraic Geometry
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In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich bod