Total nonpositivity of nonsingular matrices

被引：16
作者：
Huang, Rong [2 ]
Chu, Delin [1 ]
机构：
[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 432卷 / 11期
基金：
中国博士后科学基金; 高等学校博士学科点专项科研基金;
关键词：
Total nonpositivity; Sign regular matrices; SIGN REGULAR MATRICES; NEVILLE ELIMINATION; POSITIVE MATRICES; FACTORIZATION;
D O I：
10.1016/j.laa.2009.12.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, nonsingular totally nonpositive matrices are studied and new characterizations are provided in terms of the signs of minors with consecutive initial rows or consecutive initial columns. These characterizations extend an existing characterization that uses some restrictive hypotheses. (C) 2009 Elsevier Inc. All rights reserved.
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页码：2931 / 2941
页数：11
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