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: | Zhang Q.F., Xiao G.X., Chen K.Z. |
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(