Reverse Order Law for Generalized Inverses with Indefinite Hermitian Weights
Functional Analysis
2021-08-13 v1
Abstract
In this paper, necessary and sufficient conditions are given for the existence of Moore-Penrose inverse of a product of two matrices in an indefinite inner product space (IIPS) in which reverse order law holds good. Rank equivalence formulas with respect to IIPS are provided and an open problem is given at the end.
Keywords
Cite
@article{arxiv.2108.05873,
title = {Reverse Order Law for Generalized Inverses with Indefinite Hermitian Weights},
author = {K. Kamaraj and P. Sam Johnson and Athira Satheesh},
journal= {arXiv preprint arXiv:2108.05873},
year = {2021}
}
Comments
11 pages