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Proof by Verification of the Greville/Udwadia/Kalaba Formula for the Moore-Penrose Inverse of a Matrix

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  • K. C. Sivakumar

    (Indian Institute of Technology, Madras)

Abstract

In this short note, we present a simple linear-algebraic proof, by verification, of the well-known Greville/Udwadia/Kalaba formula for computing the Moore-Penrose inverse of a matrix.

Suggested Citation

  • K. C. Sivakumar, 2006. "Proof by Verification of the Greville/Udwadia/Kalaba Formula for the Moore-Penrose Inverse of a Matrix," Journal of Optimization Theory and Applications, Springer, vol. 131(2), pages 307-311, November.
    • Handle: RePEc:spr:joptap:v:131:y:2006:i:2:d:10.1007_s10957-006-9148-y
    DOI: 10.1007/s10957-006-9148-y
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    Cited by:

    1. 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.

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