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Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices

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dc.contributor.author Adm, Mohammad
dc.contributor.author Garloff, Jürgen
dc.date.accessioned 2021-04-20T11:03:55Z
dc.date.accessioned 2022-05-22T08:55:27Z
dc.date.available 2021-04-20T11:03:55Z
dc.date.available 2022-05-22T08:55:27Z
dc.date.issued 2017-02-01
dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/8344
dc.description.abstract A real matrix is called totally nonnegative if all of its minors are nonnegative. In this paper, the minors are determined from which the maximum allowable entry perturbation of a totally nonnegative matrix can be found, such that the perturbed matrix remains totally nonnegative. Also, the total nonnegativity of the first and second subdirect sum of two totally nonnegative matrices is considered. en_US
dc.description.sponsorship The first author gratefully acknowledges support by the Zukunftskolleg/Universität Konstanz. en_US
dc.language.iso en en_US
dc.publisher Linear Algebra and its Applications Journal en_US
dc.subject Totally nonnegative matrix en_US
dc.subject Entry-wise perturbation en_US
dc.subject k-subdirect sum en_US
dc.title Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices en_US
dc.type Article en_US


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