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Numerical algorithms for the moore-penrose inverse of a matrix: Iterative methods

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Summary

The iterative methods by Ben-Israel and others for computing the Moore-Penrose inverse of a matrix are examined. Ill conditioned test matrices are inverted by the methods and some difficulties are found out. The iterative methods do not seem superior to direct ones.

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Authors and Affiliations

  1. Faculty of Engineering, Keio University, Keio, Japan

    Nobuo Shinozaki, Masaaki Sibuya & Kunio Tanabe

  2. Tokyo Institute of Statistical Mathematics, IBM Japan, Scientific Center, Tokyo, Japan

    Nobuo Shinozaki, Masaaki Sibuya & Kunio Tanabe

Authors
  1. Nobuo Shinozaki
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  2. Masaaki Sibuya
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  3. Kunio Tanabe
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Shinozaki, N., Sibuya, M. & Tanabe, K. Numerical algorithms for the moore-penrose inverse of a matrix: Iterative methods. Ann Inst Stat Math 24, 621–629 (1972). https://doi.org/10.1007/BF02479787

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  • DOI: https://doi.org/10.1007/BF02479787

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