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Properties associated with the epigraph of the \(l_1\) norm function of projection onto the nonnegative orthant - MaRDI portal

Properties associated with the epigraph of the \(l_1\) norm function of projection onto the nonnegative orthant (Q328535)

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scientific article; zbMATH DE number 6641437
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Properties associated with the epigraph of the \(l_1\) norm function of projection onto the nonnegative orthant
scientific article; zbMATH DE number 6641437

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    Properties associated with the epigraph of the \(l_1\) norm function of projection onto the nonnegative orthant (English)
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    20 October 2016
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    The authors consider the cone which is the epigraph of the \(l_1\) norm function of the projection onto the nonnegative orthant. They describe some its associated cones, which are used for determining the directional derivatives and generalized Jacobian of the projection mapping.
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    metric projection
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    epigraph
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    \(l_1\) norm function
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    differentiability
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