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Distance to ill-posedness and the consistency value of linear semi-infinite inequality systems - MaRDI portal

Distance to ill-posedness and the consistency value of linear semi-infinite inequality systems (Q1777217)

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scientific article; zbMATH DE number 2168042
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Distance to ill-posedness and the consistency value of linear semi-infinite inequality systems
scientific article; zbMATH DE number 2168042

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    Distance to ill-posedness and the consistency value of linear semi-infinite inequality systems (English)
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    12 May 2005
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    The authors consider the parameter space of all the linear inequality systems in \(n\)-dimensional Euclidean space with a fixed and arbitrary index set. They characterize the generalized ill-posedness of a system, and provide applications to the analysis of the Lipschitz properties of the feasible set mapping as well as to the complexity analysis of the ellipsoid algorithm.
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    stability
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    well-posedness
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    linear inequality systems
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    distance to ill-posedness
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    regularity
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    ellipsoid algorithm
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