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General criteria for redundant and nonredundant linear inequalities - MaRDI portal

General criteria for redundant and nonredundant linear inequalities (Q1076606)

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scientific article; zbMATH DE number 3954643
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General criteria for redundant and nonredundant linear inequalities
scientific article; zbMATH DE number 3954643

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    General criteria for redundant and nonredundant linear inequalities (English)
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    1987
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    A system of linear inequalities subject to nonnegativity restrictions is considered. General criteria which are necessary and sufficient for a linear inequality to be redundant are derived. This general characterization provides a basis for unifying some of the existing techniques. After taking into consideration the existence of redundant linear inequalities, general necessary and sufficient criteria for a linear inequality to be nonredundant are also obtained. An example is given to illustrate the application of these new criteria.
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    system of linear inequalities
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    redundant inequalities
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    nonredundant inequalities
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