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TitleTotally nonpositive completions on partial matrices
Author(s)Araújo, C. Mendes
Torregrosa, Juan R.
Urbano, Ana M.
KeywordsPartial matrix
Totally nonpositive matrix
Completion problems
completion problem
undirected graphs
Issue dateMar-2006
JournalLinear Algebra and its Applications
Citation"Linear Algebra and its Applications". ISSN 0024-3795. 413:2-3 (Mar. 2006) 403-424.
Abstract(s)An n £ n real matrix is said to be totally no positive if every minor is no positive. In this paper, we are interested in totally no positive completion problems, that is, does A partial totally no positive matrix have a totally no positive matrix completion? This Problem has, in general, a negative answer. Therefore, we analyze the question: for which Labelled graphs G does every partial totally no positive matrix, whose associated graph is G, have a totally no positive completion? Here we study the mentioned problem when G Is a choral graph or an undirected cycle.
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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