Enviar artigo por via de e-mail On the existence of a close to optimal cross approximation in the Frobenius norm
- Autores: Osinskii A.I.1,2
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Afiliações:
- Skolkovo Institute of Science and Technology, Moscow, Russia
- Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russia
- Edição: Volume 216, Nº 9 (2025)
- Páginas: 69-85
- Seção: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/309464
- DOI: https://doi.org/10.4213/sm10123
- ID: 309464
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Resumo
We prove that for any matrix, there exists a cross (pseudoskeleton) approximation based on $n$ rows and $n$ columns whose error in the Frobenius norm differs from that of the best possible approximation of the same rank by a factor of at most $1+r/n+o (n^{-1})$, where $r$ is the rank of the cross approximation.
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Sobre autores
Aleksandr Osinskii
Skolkovo Institute of Science and Technology, Moscow, Russia; Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russia
Autor responsável pela correspondência
Email: a.osinskiy@skoltech.ru
Candidate of physico-mathematical sciences
Bibliografia
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