SONC optimization and exact nonnegativity certificates via second-order cone programming

Author:

Magron Victor,Wang Jie

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference39 articles.

1. DSOS and SDSOS optimization: more tractable alternatives to sum of squares and semidefinite optimization;Ahmadi;SIAM J. Appl. Algebra Geom.,2019

2. Second-order cone programming;Alizadeh;Math. Program.,2003

3. The Mosek interior point optimizer for linear programming: an implementation of the homogeneous algorithm;Andersen,2000

4. Optimal size of linear matrix inequalities in semidefinite approaches to polynomial optimization;Averkov;SIAM J. Appl. Algebra Geom.,2019

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

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1. Symmetric SAGE and SONC forms, exactness and quantitative gaps;Journal of Symbolic Computation;2025-03

2. On Minimal Extended Representations of Generalized Power Cones;SIAM Journal on Optimization;2024-09-10

3. Initial Application of SONC to Lyapunov Stability of Dynamical Systems;Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation;2024-07-16

4. Reducing Nonnegativity over General Semialgebraic Sets to Nonnegativity over Simple Sets;SIAM Journal on Optimization;2024-06-06

5. Weighted Geometric Mean, Minimum Mediated Set, and Optimal Simple Second-Order Cone Representation;SIAM Journal on Optimization;2024-04-16

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