Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University

Core inverse of matrices

O. M. Baksalary1 , G. Trenkler2

1 Faculty of Physics, Adam Mickiewicz University, ul. Umultowska 85, PL 61-614 Poznań, Poland
2 Department of Statistics, Dortmund University of Technology, Vogelpothsweg 87, D-44221 Dortmund, Germany

Linear and Multilinear Algebra , 58, p. 681-697 (2010)
DOI: 10.1080/03081080902778222


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.


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