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Positive Polynomials and Sums of Squares
About this Title
Murray Marshall, University of Saskatchewan, Saskatoon, SK, Canada
Publication: Mathematical Surveys and Monographs
Publication Year:
2008; Volume 146
ISBNs: 978-0-8218-4402-1 (print); 978-1-4704-1373-6 (online)
DOI: https://doi.org/10.1090/surv/146
MathSciNet review: MR2383959
MSC: Primary 13J30; Secondary 14P10, 44A60, 90C22, 90C26
Table of Contents
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Front/Back Matter
Chapters
- 0. Preliminaries
- 1. Positive polynomials and sums of squares
- 2. Krivine’s positivstellensatz
- 3. The moment problem
- 4. Non-compact case
- 5. Archimedean $T$-modules
- 6. Schmüdgen’s positivstellensatz
- 7. Putinar’s question
- 8. Weak isotropy of quadratic forms
- 9. Scheiderer’s local-global principle
- 10. Semidefinite programming and optimization