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A theory of linear inequality systems - MaRDI portal

A theory of linear inequality systems (Q1103695)

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scientific article; zbMATH DE number 4053811
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English
A theory of linear inequality systems
scientific article; zbMATH DE number 4053811

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    A theory of linear inequality systems (English)
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    1988
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    The authors analyze the behaviour of consistent systems of (possible infinite) linear inequalities in the Euclidean space \(R^ n\) in relation to the following features which are related to the solution set: boundedness, dimension, description of its boundary, redundant inequalities, minimality, finite reduction, and associated homogeneous systems. The obtained results are illustrated with many examples.
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    consistent systems of linear inequalities
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    solution set
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    boundedness
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    dimension
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    boundary
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    redundant inequalities
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    minimality
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    finite reduction
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