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Relaxing the nonsingularity assumption for intervals of totally nonnegative matrices

  • Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard partial order are considered. It is proven that if the two bound matrices of such a matrix interval are totally nonnegative and satisfy certain conditions, then all matrices from this interval are also totally nonnegative and satisfy the same conditions.

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Author:Mohammad AdmORCiDGND, Khawla Al Muhtaseb, Ayed Abedel Ghani, Jürgen GarloffORCiDGND
Parent Title (English):Electronic Journal of Linear Algebra (ELA)
Volume:Vol. 36
Document Type:Article
Year of Publication:2020
Release Date:2021/01/10
Tag:Cauchon algorithm; Checkerboard partial order; Descending rank conditions; Matrix interval; Totally nonnegative matrix
First Page:106
Last Page:123
DDC functional group:500 Naturwissenschaften und Mathematik
Open Access?:Ja
Relevance:Peer reviewed Publikation in Master Journal List