An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
Inhaltsverzeichnis
List of contributors; List of figures; Preface; List of notation;
1. What is convex algebraic geometry? Grigoriy Blekherman, Pablo A. Parrilo and Rekha R. Thomas;
2. Semidefinite optimization Pablo A. Parrilo;
3. Polynomial optimization, sums of squares, and applications Pablo A. Parrilo;
4. Nonnegative polynomials and sums of squares Grigoriy Blekherman;
5. Dualities Philipp Rostalski and Bernd Sturmfels;
6. Semidefinite representability Jiawang Nie;
7. Convex hulls of algebraic sets Joao Gouveia and Rekha R. Thomas;
8. Free convexity J. William Helton, Igor Klep and Scott McCullough;
9. Sums of Hermitian squares: old and new Mihai Putinar; Appendix A. Background material Grigoriy Blekherman, Pablo A. Parrilo and Rekha R. Thomas; Index.
