On the Clarke subdifferential of the distance function of a closed set (Q1191783)
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scientific article; zbMATH DE number 62805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Clarke subdifferential of the distance function of a closed set |
scientific article; zbMATH DE number 62805 |
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On the Clarke subdifferential of the distance function of a closed set (English)
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27 September 1992
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The authors derive formulas for computing the Clarke subdifferential of the distance function \(x\in X\mapsto d_ C(x)=\text{Inf}\{\| x- y\|: y\in C\}\). In connection with this question, they examine the role of the dimensionality of \(X\), the convexity of \(C\), and the (subdifferential) regularity of \(d_ C\).
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Clarke subdifferential
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distance function
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0.8830735
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0.88267237
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0.8747368
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0.87440753
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0.8735835
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