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General Forms for the Recursive Determination of Generalized Inverses: Unified Approach

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Abstract

Results for the recursive determination of different types of generalized inverses of a matrix are presented for the case of the addition of a block-column matrix of arbitrary size. Using a unifying underlying theme, results for the generalized inverse, least-square generalized inverse, minimum norm generalized inverse, and Moore–Penrose inverse are included.

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Authors and Affiliations

  1. Civil Engineering, and Business, University of Southern California, Los Angeles, California

    F. E. Udwadia (Professor of Mechanical Engineering)

  2. Electrical Engineering, and Economics, University of Southern California, Los Angeles, California

    R. E. Kalaba (Professor of Biomedical Engineering)

Authors
  1. F. E. Udwadia
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  2. R. E. Kalaba
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Udwadia, F.E., Kalaba, R.E. General Forms for the Recursive Determination of Generalized Inverses: Unified Approach. Journal of Optimization Theory and Applications 101, 509–521 (1999). https://doi.org/10.1023/A:1021781918962

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