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New accuracy estimates for pseudoskeleton approximations of matrices

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Abstract

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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Author information

Authors and Affiliations

  1. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, 119991, Russia

    N. L. Zamarashkin & A. I. Osinsky

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia

    N. L. Zamarashkin

  3. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow oblast, 141700, Russia

    N. L. Zamarashkin & A. I. Osinsky

Authors
  1. N. L. Zamarashkin
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  2. A. I. Osinsky
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Corresponding author

Correspondence to N. L. Zamarashkin.

Additional information

Original Russian Text © N.L. Zamarashkin, A.I. Osinsky, 2016, published in Doklady Akademii Nauk, 2016, Vol. 471, No. 3, pp. 263–266.

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Zamarashkin, N.L., Osinsky, A.I. New accuracy estimates for pseudoskeleton approximations of matrices. Dokl. Math. 94, 643–645 (2016). https://doi.org/10.1134/S1064562416060156

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  • DOI: https://doi.org/10.1134/S1064562416060156

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