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On the Block Independence in G–Inverse and Reflexive Inner Inverse of A Partitioned Matrix

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Abstract

By applying the multiple quotient singular value decomposition QQQQQ–SVD, we study the block independence in g–inverse and reflexive inner inverse of 2×2 partitioned matrices, and prove a conjecture in [YijuWang, SIAM J. Matrix Anal. Appl., 19(2), 407–415(1998)].

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Authors and Affiliations

  1. Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China

    Yong Hui Liu

  2. Department of Applied Mathematics, Shanghai Finance University, Shanghai 201209, P. R. China

    Yong Hui Liu

  3. Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China

    Mu Sheng Wei

Authors
  1. Yong Hui Liu
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  2. Mu Sheng Wei
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Correspondence to Yong Hui Liu.

Additional information

This work is supported by the National Natural Science Foundation of China, Grant No. 10371044

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Liu, Y.H., Wei, M.S. On the Block Independence in G–Inverse and Reflexive Inner Inverse of A Partitioned Matrix. Acta Math Sinica 23, 723–730 (2007). https://doi.org/10.1007/s10114-005-0787-y

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  • DOI: https://doi.org/10.1007/s10114-005-0787-y

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