On Chubanov's method for Linear Programming

نویسندگان

  • Amitabh Basu
  • Jesús A. De Loera
  • Mark Junod
چکیده

We discuss the method recently proposed by S. Chubanov for the linear feasibility problem. We present new, concise proofs and geometric interpretations of some of his results. From our ideas we derive the first strongly polynomial time algorithm based on relaxation method techniques for special classes of linear feasibility problems. Under certain conditions, these results provide new proofs of classical results obtained by Tardos for combinatorial linear programs. The paper ends with some experimental investigations.

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عنوان ژورنال:
  • INFORMS Journal on Computing

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2014