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Core inverse of matrices |
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| Authors: | Oskar Maria Baksalary Götz Trenkler |
| Institution: | 1. Faculty of Physics , Adam Mickiewicz University , ul. Umultowska 85, PL 61-614 Poznań, Poland baxx@amu.edu.pl;3. Department of Statistics , Dortmund University of Technology , Vogelpothsweg 87, D-44221 Dortmund, Germany |
| Abstract: | This article introduces the notion of the Core inverse as an alternative to the group inverse. Several of its properties are derived with a perspective towards possible applications. Furthermore, a matrix partial ordering based on the Core inverse is introduced and extensively investigated. |
| Keywords: | Moore–Penrose inverse group inverse Bott–Duffin inverse generalized inverse normalized generalized inverse EP matrix projector star matrix partial ordering minus matrix partial ordering sharp matrix partial ordering |