Projection algorithms for linear programming

Projection algorithms for linear programming

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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: ,
Keywords: projection algorithms
Abstract:

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.

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