Doubly constrained totally positive line insertion

Autor:	David W. Allen, Charles R. Johnson
Rok vydání:	2020
Předmět:	Algebra and Number Theory 15b48 Topology matrix completion problem partial matrix tp-completable patterns 15a83 totally positive matrix QA1-939 line insertion Geometry and Topology Line (text file) Mathematics
Zdroj:	Special Matrices, Vol 8, Iss 1, Pp 181-185 (2020)
ISSN:	2300-7451
DOI:	10.1515/spma-2020-0112
Popis:	It is shown that in any TP matrix, a line (row or column) with two speci˝ed entries in any positions (and the others appropriately chosen) may be inserted in any position, as long as the two entries are consistent with total positivity. This generalizes an unconstrained result previously proven, and the two may not generally be increased to three or more. Applications are given, and this fact should be useful in other completion problems, as the unconstrained result has been.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1062f4a20289e8cefb87286ec5b0b32c https://doi.org/10.1515/spma-2020-0112 Zobrazit plný text záznamu