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Extensions of the potential reduction algorithm for linear programming

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Publication:1336068
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DOI10.1007/BF00939838zbMath0807.90085MaRDI QIDQ1336068

V. Pereyra

Publication date: 1 November 1994

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


zbMATH Keywords

potential functionsprimal and dual problemspotential reduction algorithmanalytic center of a polytopezero-sum bimatrix game


Mathematics Subject Classification ID

Linear programming (90C05)


Related Items (1)

Differential-algebraic approach to linear programming



Cites Work

  • A new polynomial-time algorithm for linear programming
  • An \(O(n^ 3L)\) potential reduction algorithm for linear programming
  • An algorithm for linear programming which requires \(O(((m+n)n^ 2+(m+n)^{1.5}n)L)\) arithmetic operations
  • A polynomial-time algorithm, based on Newton's method, for linear programming
  • Interior path following primal-dual algorithms. I: Linear programming
  • A polynomial-time algorithm for a class of linear complementarity problems
  • An interior point potential reduction algorithm for the linear complementarity problem
  • A Centered Projective Algorithm for Linear Programming
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