Certificates of Positivity for Real Polynomials: Theory, Practice, and Applications

By Victoria Powers

1. Preliminaries.- 2. Sums of Squares and Positive Polynomials. - 3. Global Certificates of Positivity.- 4. Positive Semidefinite Ternary Quartics.- 5. Positivity on Semialgebraic Sets.- 6. The Archimedean Property.- 7. Theorems of Schmudgen and Putinar.- 8. The Dimension One Case.- 9. Positivity on Polytopes.- 10. The Noncompact Case.- 11. Sums of Squares of Rational Polynomials.- 12. Positive Polynomials with Special Structure.- Real Algebra and Algebraic Geometry.- Index of Notation.- Index.

• Format: Hardcover
• Language: English
• ISBN: 3030855465
• ISBN13: 9783030855468
• Release Date: November 2021
• Publisher: Springer
• Length: 156 Pages
• Weight: 0.92 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"