# 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 |