Löwner partial ordering

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

$$A\ge B,$$

or

$$B\le A.$$

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

Title	Löwner partial ordering
Canonical name	LownerPartialOrdering
Date of creation	2013-03-22 13:35:03
Last modified on	2013-03-22 13:35:03
Owner	yark (2760)
Last modified by	yark (2760)
Numerical id	9
Author	yark (2760)
Entry type	Definition
Classification	msc 40A30
Related topic	MatrixMonotone