Generalized oscillatory matrices

被引：7

作者：

Fallat, SM

Fiedler, M

Markham, TL

机构：

[1] Acad Sci Czech Republic, Inst Comp Sci, Prague 18207 8, Czech Republic

[2] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada

[3] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 359卷 / 1-3期

基金：

加拿大自然科学与工程研究理事会;

关键词：

totally nonnegative matrix; ring with identity; factorization; bidiagonal matrix; oscillatory matrix; exponent of positivity;

D O I：

10.1016/S0024-3795(02)00436-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define a new class of generalized oscillatory matrices, shortly GO-matrices, over a noncommutative ring with identity and a positive part. Similarly to the classical case, this class consists of square generalized totally nonnegative matrices (GTN-matrices) of which some power is generalized totally positive. Using the previously defined ordering of invertible GTN-matrices, we study, in particular, so called basic GO-matrices which form, in a sense, atoms of this ordering. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：79 / 90

页数：12

共 11 条

[1] TOTALLY POSITIVE MATRICES [J].