Linear conditions for positive determinants

被引：10

作者：

Carnicer, JM ^{[1
]}

Goodman, TNT

Peña, JM

机构：

[1] Univ Zaragoza, Dept Matemat Aplicada, E-50009 Zaragoza, Spain

[2] Univ Dundee, Dept Math, Dundee, Scotland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 292卷 / 1-3期

关键词：

D O I：

10.1016/S0024-3795(99)00011-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Weakest linear conditions on the rows of a square matrix of arbitrary dimension to ensure that its determinant is positive are described and analyzed. In addition to strict diagonal dominance by rows with positive diagonal elements, we find a new weakest set of conditions: the row mean being positive and larger than all the off-diagonal entries in that row. A complete classification is provided for 3 x 3 matrices, (C) 1999 Elsevier Science Inc. All rights reserved.

引用

页码：39 / 59

页数：21