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Nonnegative Moore-Penrose Inverse of Gram Matrices in an Indefinite Inner Product Space

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Abstract

In this paper, we derive necessary and sufficient conditions for the nonnegativity of the Moore-Penrose inverse of a Gram matrix defined in an indefinite inner product space using indefinite matrix multiplication. These conditions include the acuteness of a pair of closed convex cones.

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Authors and Affiliations

  1. Department of Mathematics, Jerusalem College of Engineering, Chennai, 601 302, India

    K. Ramanathan

  2. Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600 036, India

    K. C. Sivakumar

Authors
  1. K. Ramanathan
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  2. K. C. Sivakumar
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Correspondence to K. C. Sivakumar.

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Communicated by F.E. Udwadia.

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Ramanathan, K., Sivakumar, K.C. Nonnegative Moore-Penrose Inverse of Gram Matrices in an Indefinite Inner Product Space. J Optim Theory Appl 140, 189–196 (2009). https://doi.org/10.1007/s10957-008-9450-y

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  • DOI: https://doi.org/10.1007/s10957-008-9450-y

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