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

K. Ramanathan and K. C. Sivakumar ()
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K. Ramanathan: Jerusalem College of Engineering
K. C. Sivakumar: Indian Institute of Technology Madras

Journal of Optimization Theory and Applications, 2009, vol. 140, issue 1, No 12, 189-196

Abstract: 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.

Keywords: Moore-Penrose inverse; Gram matrix; Pairwise acute cones (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10957-008-9450-y

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