The Moore-Penrose inverse of differences and products of projectors in a ring with involution
Huihui Zhu, Jianlong Chen, Pedro Patricio
TL;DR
This paper investigates the Moore-Penrose inverses of differences and products of projectors within rings with involution, providing conditions for their existence and explicit formulas.
Contribution
It offers new necessary and sufficient conditions and explicit expressions for Moore-Penrose inverses of projectors in rings with involution, extending existing algebraic theory.
Findings
Derived explicit formulas for Moore-Penrose inverses of projectors
Established necessary and sufficient conditions for their existence
Extended algebraic understanding of projectors in rings with involution
Abstract
In this paper, we study the Moore-Penrose inverses of differences and products of projectors in a ring with involution. Also, some necessary and sufficient conditions for the existence of such inverses are given, and their expressions are presented.
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.
Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · Algebraic and Geometric Analysis