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Smoothness Parameter of Power of Euclidean Norm
In this paper, we study derivatives of powers of Euclidean norm. We prove their Hölder continuity and establish explicit expressions for the corresponding constants. We show that these constants are optimal for odd derivatives and at most two times suboptimal for the even ones. In the particular cas...
Autores principales: | Rodomanov, Anton, Nesterov, Yurii |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer US
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7210250/ https://www.ncbi.nlm.nih.gov/pubmed/32421041 http://dx.doi.org/10.1007/s10957-020-01653-6 |
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