Abstract
The aim of this short note is to present a few reverse order laws for the Moore–Penrose inverse and the group inverse (when it exists) in indefinite inner product spaces, with respect to the indefinite matrix product. We also point out its relationship with the star and sharp orders, respectively.
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Acknowledgements
I thank the anonymous referee for comments that have improved the manuscript. Some of the results in this paper were presented in a contributed talk at CMTGIM-2012. I thank the organizers of the conference for the same.
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Jayaraman, S. (2013). The Reverse Order Law in Indefinite Inner Product Spaces. In: Bapat, R., Kirkland, S., Prasad, K., Puntanen, S. (eds) Combinatorial Matrix Theory and Generalized Inverses of Matrices. Springer, India. https://doi.org/10.1007/978-81-322-1053-5_11
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DOI: https://doi.org/10.1007/978-81-322-1053-5_11
Publisher Name: Springer, India
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