Lecture Notes
- 1. Introduction (ps, pdf, 2up)
- 2. Convexity and Duality (ps, pdf, 2up)
- 3. SDP Relaxations for Quadratic Programming (ps, pdf, 2up)
- 4. Algebra and Duality (ps, pdf, 2up)
- 5. The Algebraic Geometric Dictionary (ps, pdf, 2up)
- 6. The Nullstellensatz (ps, pdf, 2up)
- 7. Groebner Bases (ps, pdf, 2up)
- 8. More Groebner Bases (ps, pdf, 2up)
- 9. Elimination (ps, pdf, 2up)
- 10. Sum of Squares (ps, pdf, 2up)
- 11. Lifting (ps, pdf, 2up)
- 12. The Positivstellensatz (ps, pdf, 2up)
- 13. Semialgebraic Lifting (ps, pdf, 2up)
- 14. Sparse Polynomials (ps, pdf, 2up)
- 15. Fourier-Motzkin Elimination (ps, pdf, 2up)
- 16. More Fourier-Motzkin Elimination (ps, pdf, 2up)