New accuracy estimates for pseudoskeleton approximations of matrices


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A priori accuracy estimates for low-rank approximations using a small number of rows and columns of the initial matrix are proposed. Unlike in the existing methods of pseudoskeleton approximation, this number is larger than the rank of approximation, but the estimates are substantially more accurate than those known previously.

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N. Zamarashkin

Institute of Numerical Mathematics; Faculty of Computational Mathematics and Cybernetics; Moscow Institute of Physics and Technology (State University)

编辑信件的主要联系方式.
Email: nikolai.zamarashkin@gmail.com
俄罗斯联邦, Moscow, 119991; Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700

A. Osinsky

Institute of Numerical Mathematics; Moscow Institute of Physics and Technology (State University)

Email: nikolai.zamarashkin@gmail.com
俄罗斯联邦, Moscow, 119991; Dolgoprudnyi, Moscow oblast, 141700

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