AN ESTIMATE OF SOLUTION SET PERTURBATIONS FOR A SYSTEM OF LINEAR INEQUALITIES

Общая информация

 Аннотация

    Hausdorff distance between solution sets of original and perturbed linear inequalities systems in real partially ordered Banach space is estimated. The estimation receives a particular simple expression for finite dimensional case. The concept of condition number for solution set of a linear inequalities system is suggested. Explicit expressions of Lipschitz constants are given.

    The results of the paper are applied for the evaluation of perturbations of the feasible set in criterion space in the framework of the Feasible goals method.

 Ключевые слова

    linear inequalities, solution set, perturbations, Hausdorff distance, Lipschitz continuity, condition number
 

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