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RELAXING THE NONSINGULARITY ASSUMPTION FOR INTERVALS OF TOTALLY NONNEGATIVE MATRICES

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dc.contributor.author ADM, MOHAMMAD
dc.contributor.author ALMUHTASEB, KHAWLA
dc.contributor.author Abedel Ghani, Ayed
dc.contributor.author Garloff, Jürgen
dc.date.accessioned 2022-01-18T11:14:23Z
dc.date.accessioned 2022-05-22T08:55:54Z
dc.date.available 2022-01-18T11:14:23Z
dc.date.available 2022-05-22T08:55:54Z
dc.date.issued 2020-02-01
dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/8412
dc.description.abstract Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and 6 matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the 7 two bound matrices of such a matrix interval are totally nonnegative and satisfy certain conditions, 8 then all matrices from this interval are totally nonnegative and satisfy these conditions, too, hereby 9 relaxing the nonsingularity condition in a former paper [M. Adm, J. Garloff, Intervals of totally 10 nonnegative matrices, Linear Algebra Appl. 439 (2013), pp.3796-3806]. en_US
dc.language.iso en en_US
dc.publisher Konstanzer Schriften in Mathematik en_US
dc.subject Matrix interval, Checkerboard partial order, Totally nonnegative matrix, Cauchon 12 matrix, Cauchon Algorithm, Descending rank conditions. en_US
dc.title RELAXING THE NONSINGULARITY ASSUMPTION FOR INTERVALS OF TOTALLY NONNEGATIVE MATRICES en_US
dc.type Article en_US


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