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

Author

Listed:
  • F.E. Udwadia

    (University of Southern California)

  • R.E. Kalaba

    (University of Southern California)

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.

Suggested Citation

  • F.E. Udwadia & R.E. Kalaba, 2003. "Sequential Determination of the {1, 4}-Inverse of a Matrix," Journal of Optimization Theory and Applications, Springer, vol. 117(1), pages 1-7, April.
    • Handle: RePEc:spr:joptap:v:117:y:2003:i:1:d:10.1023_a:1023644505061
    DOI: 10.1023/A:1023644505061
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    Citations

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    Cited by:

    1. T. Kurmayya & K. C. Sivakumar, 2008. "Moore-Penrose Inverse of a Gram Matrix and Its Nonnegativity," Journal of Optimization Theory and Applications, Springer, vol. 139(1), pages 201-207, October.
    2. K. C. Sivakumar & J. M. Swarna, 2009. "Linear Optimization with Box Constraints in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 141(2), pages 377-387, May.
    3. K. Ramanathan & K. C. Sivakumar, 2009. "Nonnegative Moore-Penrose Inverse of Gram Matrices in an Indefinite Inner Product Space," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 189-196, January.
    4. F. E. Udwadia & P. Phohomsiri, 2006. "Recursive Formulas for the Generalized LM-Inverse of a Matrix," Journal of Optimization Theory and Applications, Springer, vol. 131(1), pages 1-16, October.

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