# Löwner partial ordering

Let $A$ and $B$ be two Hermitian matrices of the same size. If $A-B$ is positive semidefinite we write

 $A\geq B,$

or

 $B\leq A.$

Then $\geq$ is a partial ordering, referred to as Löwner partial ordering, on the set of Hermitian matrices.

Title Löwner partial ordering LownerPartialOrdering 2013-03-22 13:35:03 2013-03-22 13:35:03 yark (2760) yark (2760) 9 yark (2760) Definition msc 40A30 MatrixMonotone