Mostajeran, C and Grussler, C and Sepulchre, R *Geometric Matrix Midranges.* (Unpublished)

## Abstract

We define geometric matrix midranges for positive definite Hermitian matrices and study the midrange problem from a number of perspectives. Special attention is given to the midrange of two positive definite matrices before considering the extension of the problem to $N > 2$ matrices. We compare matrix midrange statistics with the scalar and vector midrange problem and note the special significance of the matrix problem from a computational standpoint. We also study various aspects of geometric matrix midrange statistics from the viewpoint of linear algebra, differential geometry and convex optimization.

Item Type: | Article |
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Uncontrolled Keywords: | math.OC math.OC |

Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Cron Job |

Date Deposited: | 25 Jul 2019 01:18 |

Last Modified: | 24 Oct 2019 13:36 |

DOI: |