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On self-concordant barriers for generalized power cones

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Publication:2115322
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DOI10.1007/s11590-021-01748-7zbMath1487.90527OpenAlexW2786116690MaRDI QIDQ2115322

Lin Xiao, Scott Roy

Publication date: 15 March 2022

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-021-01748-7

zbMATH Keywords

self-concordant barriernonsymmetric conic optimizationgeneralized power cone


Mathematics Subject Classification ID

Convex programming (90C25) Interior-point methods (90C51)


Related Items

Linear optimization over homogeneous matrix cones, Performance enhancements for a generic conic interior point algorithm


Uses Software

  • Mosek


Cites Work

  • Unnamed Item
  • Self-concordant barriers for convex approximations of structured convex sets
  • Geometry of homogeneous convex cones, duality mapping, and optimal self-concordant barriers
  • A homogeneous interior-point algorithm for nonsymmetric convex conic optimization
  • A lower bound on the barrier parameter of barriers for convex cones
  • Lectures on Modern Convex Optimization
  • Positivitatsbereiche Im R n
  • Barrier Functions in Interior Point Methods
  • Towards non-symmetric conic optimization
  • On Homogeneous Convex Cones, The Carathéodory Number, and the Duality Mapping
  • Generalization of primal-dual interior-point methods to convex optimization problems in conic form
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