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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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Metadaten
Author:Jürgen GarloffORCiDGND, Mohammad AdmORCiDGND, Jihad TitiORCiD
URN:http://nbn-resolving.de/urn:nbn:de:bsz:352-0-310051
ISSN:1385-3139
Parent Title (English):Reliable computing
Volume:2016
Publisher:University of Louisiana at Lafayette
Place of publication:Lafayette, Louisiana
Document Type:Article
Language:English
Year of Publication:2016
Release Date:2018/01/24
Tag:Entry-wise perturbation; Matrix interval; Vertex matrix
Issue:22
First Page:1
Last Page:14
Open Access?:Ja
Licence (German):License LogoLizenz nach Vereinbarung