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A Survey of Classes of Matrices Possessing the Interval Property and Related Properties

  • This paper considers intervals of real matrices with respect to partial orders and the problem to infer from some exposed matrices lying on the boundary of such an interval that all real matrices taken from the interval possess a certain property. In many cases such a property requires that the chosen matrices have an identically signed inverse. We also briefly survey related problems, e.g., the invariance of matrix properties under entry-wise perturbations.

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Author:Jürgen GarloffORCiDGND, Mohammad AdmORCiDGND, Jihad TitiORCiD
Parent Title (German):Konstanzer Schriften in Mathematik
Document Type:Article
Year of Publication:2015
Release Date:2018/03/01
Tag:entry-wise perturbation; matrix interval; vertex matrix
First Page:1
Last Page:14
DDC functional group:500 Naturwissenschaften und Mathematik / 510 Mathematik
Open Access?:Ja