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Moore-Penrose Inverse of a Gram Matrix and

✍ Scribed by T. Kurmayya; K. C. Sivakumar

Publisher
Springer
Year
2008
Tongue
English
Weight
240 KB
Volume
139
Category
Article
ISSN
0022-3239

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📜 SIMILAR VOLUMES

Nonnegative Moore–Penrose inverses of Gr
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✍ T. Kurmayya; K.C. Sivakumar 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 122 KB

This paper is concerned with necessary and sufficient conditions for the nonnegativity of Moore-Penrose inverses of Gram operators between real Hilbert spaces. These conditions include statements on acuteness (or obtuseness) of certain closed convex cones. The main result generalizes a well known re

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✍ R.B. Bapat; S.K. Jain; S. Pati 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 609 KB

If A is a boolean matrix, then the weighted Moore-Penrose inverse of A (with respect to the given matrices M, N) IS a matrix G which satisfies AGA = A, GAG = G, and that MAG and GAN are symmetric. Under certain conditions on M, N it is shown that the weighted Moore-Penrose inverse exists if and only