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The set of target vectors in a semi-infinite linear program with a duality gap

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Publication:2317358
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DOI10.1134/S0081543819020032zbMath1419.90061OpenAlexW2953529364MaRDI QIDQ2317358

Yanyan Li

Publication date: 9 August 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543819020032


zbMATH Keywords

geometric approachduality gapsemi-infinite linear programconvex nonclosed coneset of target vectors


Mathematics Subject Classification ID

Linear programming (90C05) Semi-infinite programming (90C34)


Related Items (2)

Recent contributions to linear semi-infinite optimization: an update ⋮ DualityGapAnalyzer


Uses Software

  • GitHub


Cites Work

  • Unnamed Item
  • Linear optimization and approximation. An introduction to the theoretical analysis and numerical treatment of semi-infinite programs. Transl. from the German
  • A note on duality gaps in linear programming over convex sets
  • Programmes in Paired Spaces
  • Duality gaps in semi-infinite linear programming—an approximation problem
  • A duality theory for convex programs with convex constraints
  • An Infinite Linear Program with a Duality Gap
  • Algebraic theory of linear inequalities
  • Convex Analysis


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