Article ID: | iaor1996621 |
Country: | Netherlands |
Volume: | 60 |
Issue: | 3 |
Start Page Number: | 287 |
End Page Number: | 295 |
Publication Date: | Aug 1992 |
Journal: | European Journal of Operational Research |
Authors: | Betke U., Gritzmann P. |
Keywords: | projection algorithms |
Based on the nearest-point projection of geometric convexity the authors give a general projection approach for solving the feasibility problem of linear programming. Application of Shor’s method of space dilation gives rise to a family of polynomial-time ellipsoidal algorithms with improved termination criteria in case of infeasibility. Moreover, the approach renders possible application of various techniques from nonlinear programming. In particular, using a variable metric algorithm with exact linear search the authors obtain a fast and practically well-behaving algorithm for linear programming.