Rational dual certificates for weighted sums-of-squares polynomials with boundable bit size
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Publication:6051120
DOI10.1016/j.jsc.2023.102254arXiv2305.19039MaRDI QIDQ6051120
Publication date: 19 September 2023
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.19039
polynomial optimizationconic programmingcomputational real algebraic geometrynonnegativity certificatessums-of-squares decomposition
Semidefinite programming (90C22) Polynomial optimization (90C23) Computational real algebraic geometry (14Q30)
Cites Work
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- Rational certificates of positivity on compact semialgebraic sets
- Certificates of positivity in the Bernstein basis
- The condition number of real Vandermonde, Krylov and positive definite Hankel matrices
- Algorithms for weighted sum of squares decomposition of non-negative univariate polynomials
- Dual optimal design and the Christoffel-Darboux polynomial
- On exact Reznick, Hilbert-Artin and Putinar's representations
- A disintegration of the Christoffel function
- Duality of sum of nonnegative circuit polynomials and optimal SONC bounds
- A Mathematical View of Interior-Point Methods in Convex Optimization
- Sum-of-Squares Optimization without Semidefinite Programming
- Semidefinite Optimization and Convex Algebraic Geometry
- Dual Certificates and Efficient Rational Sum-of-Squares Decompositions for Polynomial Optimization over Compact Sets
- Semi-Infinite Programming using High-Degree Polynomial Interpolants and Semidefinite Programming
- A unified framework of SAGE and SONC polynomials and its duality theory
- Algorithms in real algebraic geometry
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