Totally nonpositive completions on partial matrices

被引：0

作者：

Araújo, CM

Torregrosa, JR

Urbano, AM

机构：

[1] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal

[2] Univ Politecn Valencia, Dept Matemat Aplicada, E-46071 Valencia, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2006年 / 413卷 / 2-3期

关键词：

partial matrix; completion problem; totally nonpositive matrix; undirected graphs;

D O I：

10.1016/j.laa.2005.05.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An n x n real matrix is said to be totally nonpositive if every minor is nonpositive. In this paper, we are interested in totally nonpositive completion problems, that is, does a partial totally nonpositive matrix have a totally nonpositive matrix completion? This problem has, in general, a negative answer. Therefore, we analyze the question: for which labeled graphs G does every partial totally nonpositive matrix, whose associated graph is G, have a totally nonpositive completion? Here we study the mentioned problem when G is a chordal graph or an undirected cycle. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：403 / 424

页数：22

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