Generalized totally nonnegative matrices

被引：6

作者：

Fiedler, M

Markham, TL

机构：

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

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2002年 / 345卷

关键词：

totally nonnegative matrix; ring with identity; factorization; bidiagonal matrix;

D O I：

10.1016/S0024-3795(01)00440-2

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 totally nonnegative matrices, shortly GTN-matrices, over a noncommutative ring with identity and a positive part. The class of GTN-matrices is closed under multiplication, every submatrix of a GTN-matrix is a GTN-matrix as well. We also define a standard form of a GTN-matrix. We then study the invertible GTN-matrices of a fixed order and classify them; the classes form a partially ordered set, can be (noncommutatively) multiplied and multiplication preserves ordering. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：9 / 28

页数：20

共 9 条

[1] TOTALLY POSITIVE MATRICES [J].