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A reduced-gradient variant of Karmarkar's algorithm and null-space projections

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Publication:1090599
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DOI10.1007/BF02346159zbMath0621.90047MaRDI QIDQ1090599

Roy E. Marsten, David F. Shanno

Publication date: 1988

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)


zbMATH Keywords

simplex methodKarmarkar's algorithminexact projectionsnull-space projectionsreduced- gradient methods


Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Linear programming (90C05)


Related Items (4)

A strengthened acceptance criterion for approximate projections in Karmarkar's algorithm ⋮ Implementing an affine scaling algorithm for linear programming ⋮ A modified algorithm for the strict feasibility problem ⋮ El metodo de Karmarkar: Un estudio de sus variantes


Uses Software

  • XMP


Cites Work

  • Unnamed Item
  • A new polynomial-time algorithm for linear programming
  • On projected newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method




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