A new polynomial-time algorithm for Linear Programming

A new polynomial-time algorithm for Linear Programming

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Article ID: iaor19981903
Country: China
Volume: 19
Issue: 1
Start Page Number: 34
End Page Number: 38
Publication Date: Jan 1996
Journal: Acta Mathematicae Applicatae Sinica
Authors: , ,
Abstract:

In this paper, the authors present a new polynomial-time algorithm for linear programming, which has a family of feasible directions at each iteration step. Meanwhile, the switch strategy is used. By all these means, it is possible to reduce the amount of calculations for inverse matrix greatly. Finally, it is proved that the algorithm can be stopped in O(nL) iterations.

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