Sampling Algebraic Varieties for Sum of Squares Programs

DOI10.1137/15M1052548zbMath1386.90099arXiv1511.06751OpenAlexW2172384618MaRDI QIDQ4594913

Diego Cifuentes, Pablo A. Parrilo

Publication date: 27 November 2017

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06751

zbMATH Keywords

samplingnumerical algebraic geometrysum of squaresSDPalgebraic variety

Mathematics Subject Classification ID

Semidefinite programming (90C22) Numerical computation of solutions to systems of equations (65H10)

Related Items

On the local stability of semidefinite relaxations, Stability analysis of complementarity systems with neural network controllers, Certified Hermite matrices from approximate roots, Low-Rank Univariate Sum of Squares Has No Spurious Local Minima, A hybrid procedure for finding real points on a real algebraic set, On the conditions for the finite termination of ADMM and its applications to SOS polynomials feasibility problems, Learning algebraic varieties from samples, Certifying Polynomial Nonnegativity via Hyperbolic Optimization, A Convex Relaxation to Compute the Nearest Structured Rank Deficient Matrix

Uses Software

• Macaulay2
• PHCpack
• SDPT3
• DSDP5
• Bertini

Cites Work

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