Alfonso: Matlab Package for Nonsymmetric Conic Optimization

DOI10.1287/ijoc.2021.1058OpenAlexW3197081982MaRDI QIDQ5084625

David Papp, Sercan Yıldız

Publication date: 28 June 2022

Published in: INFORMS Journal on Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04274

zbMATH Keywords

softwareinterior-point methodconic optimizationself-concordant barriernonsymmetric cone

Mathematics Subject Classification ID

Operations research, mathematical programming (90-XX)

Related Items (7)

Dual Certificates and Efficient Rational Sum-of-Squares Decompositions for Polynomial Optimization over Compact Sets ⋮ Solving Natural Conic Formulations with Hypatia.jl ⋮ Duality of sum of nonnegative circuit polynomials and optimal SONC bounds ⋮ Error bounds, facial residual functions and applications to the exponential cone ⋮ Linear optimization over homogeneous matrix cones ⋮ Optimal Self-Concordant Barriers for Quantum Relative Entropies ⋮ Performance enhancements for a generic conic interior point algorithm

Uses Software

• Matlab
• Mosek
• ECOS
• SCS
• alfonso
• DDS

Cites Work

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• Amoebas, nonnegative polynomials and sums of squares supported on circuits
• Conic optimization via operator splitting and homogeneous self-dual embedding
• Conic formulation for \(l_p\)-norm optimization
• A homogeneous interior-point algorithm for nonsymmetric convex conic optimization
• A Mathematical View of Interior-Point Methods in Convex Optimization
• Lectures on Modern Convex Optimization
• Hyperbolic Polynomials and Interior Point Methods for Convex Programming
• Sum-of-Squares Optimization without Semidefinite Programming
• Semidefinite Optimization and Convex Algebraic Geometry

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