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  • We study the class of so-called totally dominant matrices in the usual algebra and in the max algebra in which the sum is the maximum and the multiplication is usual. It turns out that this class coincides with the well known class of positive matrices having positive the determinants of all 22 submatrices. The closure of this class is closed not only with respect to the usual but also with respect to the max multiplication. Further properties analogous to those of totally positive matrices are proved and some connections to Monge matrices are mentioned. Keywords: Totally positive matrix; Factorization; Monge matrix; (0,1) matrix
  • We study the class of so-called totally dominant matrices in the usual algebra and in the max algebra in which the sum is the maximum and the multiplication is usual. It turns out that this class coincides with the well known class of positive matrices having positive the determinants of all 22 submatrices. The closure of this class is closed not only with respect to the usual but also with respect to the max multiplication. Further properties analogous to those of totally positive matrices are proved and some connections to Monge matrices are mentioned. Keywords: Totally positive matrix; Factorization; Monge matrix; (0,1) matrix (en)
Title
  • Dominant matrices and max algebra
  • Dominant matrices and max algebra (en)
skos:prefLabel
  • Dominant matrices and max algebra
  • Dominant matrices and max algebra (en)
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  • RIV/67985807:_____/11:00351435!RIV11-AV0-67985807
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  • Z(AV0Z10300504)
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  • 4
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  • 195255
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  • RIV/67985807:_____/11:00351435
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  • totally positive matrix; factorization; Monge matrix; (0,1) matrix (en)
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  • US - Spojené státy americké
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  • [A8A48B2D0255]
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  • Linear Algebra and Its Applications
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  • 434
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  • Fiedler, Miroslav
http://linked.open...ain/vavai/riv/wos
  • 000286864300023
http://linked.open...n/vavai/riv/zamer
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  • 0024-3795
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