Real Algebraic Geometry and Optimization
Real Algebraic Geometry and Optimization
Theobald, Thorsten
American Mathematical Society
06/2024
271
Dura
9781470474317
Pré-lançamento - envio 15 a 20 dias após a sua edição
Univariate real polynomials
From polyhedra to semialgebraic sets
The Tarski-Sidenberg principle and elimination of quantifiers
Cylindrical algebraic decomposition
Linear, semidefinite, and conic optimization
Positive polynomials, sums of suares and convexity
Positive polynomials
Polynomial optimization
Spectrahedra
Outlook
Stable and hyperbolic polynomials
Relative entropy methods in semialgebraic optimzation
Background material
Notation
Bibliography
Index
Univariate real polynomials
From polyhedra to semialgebraic sets
The Tarski-Sidenberg principle and elimination of quantifiers
Cylindrical algebraic decomposition
Linear, semidefinite, and conic optimization
Positive polynomials, sums of suares and convexity
Positive polynomials
Polynomial optimization
Spectrahedra
Outlook
Stable and hyperbolic polynomials
Relative entropy methods in semialgebraic optimzation
Background material
Notation
Bibliography
Index