Positive polynomials and sums of squares 论文
2008Mathematical surveys and monographs引用 274
Advanced Optimization Algorithms ResearchPolynomial and algebraic computationMatrix Theory and Algorithms
摘要
Preliminaries Positive polynomials and sums of square Krivine's Positivstellensatz The moment problem Non-compact case Archimedean $T$-modules Schmudgen's Positivstellensatz Putinar's question Weak isotropy of quadratic forms Scheiderer's local-global principle Semidefinite programming and optimization Appendix 1: Tarski-Seidenberg theorem Appendix 2: Algebraic sets Bibiography.