On parametrization of totally nonpositive matrices and applications

被引：0
|
作者：
Huang, Rong [1 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2012年 / 19卷 / 04期
基金：
高等学校博士学科点专项科研基金;
关键词：
totally nonpositive matrices; bidiagonal factorization; accurate computation; NONNEGATIVE MATRICES; ACCURATE; EIGENVALUES; ALGORITHMS; SYSTEMS; SVDS;
D O I：
10.1002/nla.804
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of accurate computations for totally non-negative matrices has been studied; however, it remains open for other sign regular matrices. One major obstacle is that there is no known parametrization of these matrices. The main contribution of the present work is that we provide such parametrization of nonsingular totally nonpositive matrices. A useful application of our results is that these parameters can determine accurately the entries of the inverse of a nonsingular totally nonpositive matrix. Copyright (c) 2011 John Wiley & Sons, Ltd.
引用
收藏
页码：742 / 753
页数：12
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