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Homotopy techniques in linear programming

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Publication:1091937
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DOI10.1007/BF01840461zbMath0623.90052MaRDI QIDQ1091937

John Lawrence Nazareth

Publication date: 1986

Published in: Algorithmica (Search for Journal in Brave)


zbMATH Keywords

interior point methodspath-followingquadratic regularizationKarmarkar's methodhomotopy techniquelocal search direction


Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Linear programming (90C05)


Related Items

Introduction: New approaches to linear programming, A new simple homotopy algorithm for linear programming. I, The implementation of linear programming algorithms based on homotopies, Deriving potential functions via a symmetry principle for nonlinear equations, The DLP decision support system and its extension to stochastic programming∗, A quadratically convergent method for linear programming



Cites Work

  • A new polynomial-time algorithm for linear programming
  • A convergent process of price adjustment and global Newton methods
  • The Solution of Systems of Piecewise Linear Equations
  • Iterative Solution of Linear Programs
  • Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
  • On Algorithms for Solvingf(x)=0
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