A partial order on the set of complex matrices with index one
Hongxing Wang, Xiaoji Liu · Linear and Multilinear Algebra · 2017
In this paper, we use the well-known Löwner order and the core partial order to introduce a new partial order on the class of core matrices which is not dominated by any of the known matrix partial orders. We characterize , study its relations with the Löwner partial order under constraints, and exemplify its differences with other partial orders.