Löwner partial ordering

Let A and B be two Hermitian matricesMathworldPlanetmath of the same size. If A-B is positive semidefinitePlanetmathPlanetmath we write




Then 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