Certificates of Positivity for Real Polynomials
portes grátis
Certificates of Positivity for Real Polynomials
Theory, Practice, and Applications
Powers, Victoria
Springer Nature Switzerland AG
11/2021
156
Dura
Inglês
9783030855468
15 a 20 dias
424
Descrição não disponível.
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.
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semialgebraic sets and related spaces;sums of squares;ternary quartics;Polya's theorem;Scheiderer's theorem;circuit polynomials
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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
