On the complexity of Putinar–Vasilescu's Positivstellensatz

Author:

Mai Ngoc Hoang Anh,Magron Victor

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference24 articles.

1. Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications, vol. 2;Ben-Tal,2001

2. Real Algebraic Geometry, vol. 36;Bochnak,2013

3. The sum-of-squares hierarchy on the sphere and applications in quantum information theory;Fang;Math. Program.,2020

4. Simulation and inverse modeling of semiconductor manufacturing processes;Heitzinger,2002

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1. Algebro-geometric Algorithms for Template-Based Synthesis of Polynomial Programs;Proceedings of the ACM on Programming Languages;2023-04-06

2. An effective version of Schmüdgen’s Positivstellensatz for the hypercube;Optimization Letters;2022-09-15

3. On the effective Putinar’s Positivstellensatz and moment approximation;Mathematical Programming;2022-09-06

4. Homogenization for polynomial optimization with unbounded sets;Mathematical Programming;2022-08-20

5. Algorithms for Testing Membership in Univariate Quadratic Modules over the Reals;Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation;2022-07-04

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