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 -

Moment and polynomial optimization is an active research field used to solve difficult questions in many areas, including global optimization, tensor computatio

This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimension

The first comprehensive introduction to the powerful moment approach for solving global optimization problems.

An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science