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Sequential Determination of the {1, 4}-Inverse of a Matrix

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Abstract

In this paper, we provide a set of results for the sequential determination of the {1, 4}-generalized inverse of a matrix. This inverse is of importance in areas where the minimal norm solution of a system of algebraic equations is desired.

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References

  1. UDWADIA, F. E., and KALABA, R.E., General Forms for the Recursive Determination of Generalized Inverses: A Unified Approach, Journal of Optimization Theory and Applications, Vol. 101, pp. 509-521, 1999.

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  2. UDWADIA, F. E., and KALABA, R. E., Analytical Dynamics: A New Approach, Cambridge University Press, Cambridge, England, pp. 62-64, 1996.

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  3. WANG, G., and ZHENG, B., Personal Communication, Shanghai Normal University, Shanghai, PRC, 2002.

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Authors and Affiliations

  1. Aerospace and Mechanical Engineering, Civil Engineering, Mathematics, and Information and Operations Management, University of Southern California, Los Angeles, California

    F.E. Udwadia (Professor of)

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

    R.E. Kalaba (Professor of)

Authors
  1. F.E. Udwadia
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  2. R.E. Kalaba
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Udwadia, F., Kalaba, R. Sequential Determination of the {1, 4}-Inverse of a Matrix. Journal of Optimization Theory and Applications 117, 1–7 (2003). https://doi.org/10.1023/A:1023644505061

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  • DOI: https://doi.org/10.1023/A:1023644505061

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