On a class of iterative projection and contraction methods for linear programming

  • B. S. He
Contributed Papers


In this paper, based on the idea of a projection and contraction method for a class of linear complementarity problems (Refs. 1 and 2), we develop a class of iterative algorithms for linear programming with linear speed of convergence. The algorithms are used to solve transportation and network problems with up to 10,000 variables. Our experiments indicate that the algorithms are simple, easy to parallelize, and more efficient for some large practical problems.

Key Words

Projection methods Fejér contraction linear complementarity problems linear programming network programming 


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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • B. S. He
    • 1
  1. 1.Department of MathematicsUniversity of NanjingNanjingChina

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