Moore-Penrose inverses of Gram matrices Leaving a Cone Invariant in an Indefinite Inner Product Space
K. Appi Reddy, T. Kurmayya
TL;DR
This paper characterizes Moore-Penrose inverses of Gram matrices that leave a cone invariant within indefinite inner product spaces, using indefinite matrix multiplication, and relates this to the acuteness or obtuseness of certain convex cones.
Contribution
It provides a new characterization of Moore-Penrose inverses in indefinite inner product spaces, linking matrix invariance to cone acuteness or obtuseness.
Findings
Characterization of Moore-Penrose inverses leaving a cone invariant
Connection between cone properties and matrix inverses in indefinite spaces
Use of indefinite matrix multiplication for analysis
Abstract
In this paper we characterize Moore-Penrose inverses of Gram matrices leaving a cone invariant in an indefinite inner product space using indefinite matrix multiplication. This characterization includes the acuteness (or obtuseness) of certain closed convex cones.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.