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Geometry of the Gass-Saaty parametric cost LP algorithm

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Publication:1825128
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DOI10.1007/BF02187776zbMath0683.90045OpenAlexW2004086384MaRDI QIDQ1825128

Victor Klee, Peter Kleinschmidt

Publication date: 1990

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131103

zbMATH Keywords

cyclingGass-Saaty algorithm


Mathematics Subject Classification ID

Linear programming (90C05)


Related Items

On polyhedral projection and parametric programming, On the existence of certain smooth toric varieties, \(S\)-hypersimplices, pulling triangulations, and monotone paths, Degeneracy graphs: Theory and applications. An updated survey, Encounters with degeneracy: A personal view



Cites Work

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  • A simplex variant solving an m\(\times d\) linear program in O(min(m 2,d 2)) expected number of pivot steps
  • Stabbing line segments
  • Computational complexity of parametric linear programming
  • The Average number of pivot steps required by the Simplex-Method is polynomial
  • Some Distribution-Independent Results About the Asymptotic Order of the Average Number of Pivot Steps of the Simplex Method
  • Higher Order Independence in Matroids
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