Intervals of totally nonnegative matrices

被引：12

作者：

Adm, Mohammad ^{[1
,2
]}

Garloff, Juergen ^{[3
]}

机构：

[1] Univ Konstanz, Dept Math & Stat, D-78464 Constance, Germany

[2] Palestine Polytech Univ, Dept Math, Hebron, Israel

[3] Univ Appl Sci HTWG Konstanz, Fac Comp Sci, D-78405 Constance, Germany

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 12期

关键词：

Totally nonnegative matrix; Checkerboard ordering; Matrix interval; Cauchon diagram; Cauchon Algorithm;

D O I：

10.1016/j.laa.2013.10.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard ordering are considered. It is proven that if the two bound matrices of such a matrix interval are nonsingular and totally nonnegative (and in addition all their zero minors are identical) then all matrices from this interval are also nonsingular and totally nonnegative (with identical zero minors). (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：3796 / 3806

页数：11

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