On the differentiability of O(n) invariant functions of symmetric matrices (Q1106966)
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scientific article; zbMATH DE number 4063434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the differentiability of O(n) invariant functions of symmetric matrices |
scientific article; zbMATH DE number 4063434 |
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On the differentiability of O(n) invariant functions of symmetric matrices (English)
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1985
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The author proves: Let f be a \(C^ r\)-function defined on the space of diagonal matrices. Suppose f is invariant under permutations of the diagonal elements. Let F be the extension of f via the action of the orthogonal group O(n). Then F is a \(C^ r\)-function.
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Lipschitz continuity
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differentiability of invariant functions
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\(C^ r\)- function
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space of diagonal matrices
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orthogonal group
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