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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...

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Detalles Bibliográficos
Autores principales: Rodomanov, Anton, Nesterov, Yurii
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2020
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