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Further Matrix Classes Possessing the Interval Property

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dc.contributor.author Garloff, Juergen
dc.contributor.author Al-Saafin, Doaa
dc.contributor.author Adm, Mohammad
dc.date.accessioned 2022-05-31T09:42:52Z
dc.date.accessioned 2022-06-01T09:28:33Z
dc.date.available 2022-05-31T09:42:52Z
dc.date.available 2022-06-01T09:28:33Z
dc.date.issued 2021
dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/8522
dc.description.abstract In this article, the collection of classes of matrices which possess the interval property presented in [J. Garloff, M. Adm, and J. Titi, A survey of classes of matrices possessing the interval property and related prop- erties, Reliab. Comput., 22:1-14, 2016] is continued. That is, given an interval of matrices with respect to a certain partial order, it is desired to know whether a special property of the entire matrix interval can be inferred from some of its element matrices lying on the vertices of the matrix interval. The interval property of some matrix classes found in the literature is presented, and the interval property of further matrix classes including the ultrametric, the conditionally positive semidefinite, and the infinitely divisible matrices is given for the first time. For the inverse M- matrices, the cardinality of the required set of vertex matrices known so far is significantly reduced. en_US
dc.language.iso en en_US
dc.publisher Reliable Computing (Interval Computations) Journal en_US
dc.subject Interval property en_US
dc.subject matrix interval en_US
dc.subject inverse M-matrix en_US
dc.subject ultrametric matrix en_US
dc.subject conditionally positive semidefinite matrix en_US
dc.subject infinitely divisible matrix en_US
dc.title Further Matrix Classes Possessing the Interval Property en_US
dc.type Article en_US

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