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On perturbation bounds for orthogonal projections

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Abstract

In this paper, we present some new perturbation bounds for the orthogonal projections onto the column and row spaces of a matrix, which improve some existing results. Numerical examples are presented to illustrate our results.

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Authors and Affiliations

  1. School of Mathematics, South China Normal University, Guangzhou, 510631, People’s Republic of China

    Yan Mei Chen, Xiao Shan Chen & Wen Li

Authors
  1. Yan Mei Chen
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  2. Xiao Shan Chen
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  3. Wen Li
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Corresponding author

Correspondence to Xiao Shan Chen.

Additional information

This work is supported by the Natural Science Foundation of Guangdong Province (S2013010012530,91510631000021), the National Natural Science Foundation of China (11271144, 11571124) and Project of Department of Education of Guangdong Province (Grant No. 2013KJCX0053).

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Chen, Y.M., Chen, X.S. & Li, W. On perturbation bounds for orthogonal projections. Numer Algor 73, 433–444 (2016). https://doi.org/10.1007/s11075-016-0102-2

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  • DOI: https://doi.org/10.1007/s11075-016-0102-2

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