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- Title
Nonnegative Moore-Penrose Inverse of Gram Matrices in an Indefinite Inner Product Space.
- Authors
Ramanathan, K.; Sivakumar, K.C.
- 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.
- Subjects
INDEFINITE inner product spaces; KREIN spaces; INNER product spaces; BILINEAR forms; VECTOR spaces; LINEAR algebra; FUNCTIONAL analysis; VECTOR analysis; JOIN spaces; CONVEXITY spaces
- Publication
Journal of Optimization Theory & Applications, 2009, Vol 140, Issue 1, p189
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-008-9450-y