A relaxation method for solving systems with infinitely many linear inequalities

A relaxation method for solving systems with infinitely many linear inequalities

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Article ID: iaor2012655
Volume: 6
Issue: 2
Start Page Number: 291
End Page Number: 298
Publication Date: Feb 2012
Journal: Optimization Letters
Authors: ,
Keywords: relaxation methods, inequality problems
Abstract:

The problem of finding a feasible solution to a linear inequality system arises in numerous contexts. We consider solving linear semi‐infinite inequality systems via an extension of the relaxation method for finite linear inequality systems. The difficulties are discussed and a convergence result is derived under fairly general assumptions on a large class of linear semi‐infinite inequality systems.

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