Two Classes of Spectrally Arbitrary Sign Pattern Matrices

被引：0

作者：

Gao, Yubin ^{[1
]}

Shao, Yanling ^{[1
]}

机构：

[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

来源：

ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年

关键词：

Sign pattern; Spectrally arbitrary pattern; Nilpotent;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An n x n sign pattern matrix A is a spectrally arbitrary pattern matrix if for any given real monic polynomial f(x) of degree n, there is a real matrix in the qualitative class of A having characteristic polynomial f(x). In this paper we give two classes of spectrally arbitrary sign pattern matrices.

引用

页码：47 / 50

页数：4

共 50 条

[1] SPECTRALLY ARBITRARY COMPLEX SIGN PATTERN MATRICES
Gao, Yubin
Shao, Yanling
Fan, Yizheng
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2009, 18 : 674 - 692
[2] On allowable properties and spectrally arbitrary sign pattern matrices
Jadhav, Dipak. S.
Deore, Rajendra. P.
RESEARCH IN MATHEMATICS, 2022, 9 (01):
[3] Two new classes of spectrally arbitrary sign patterns
Li, Shoucang
Gao, Yubin
ARS COMBINATORIA, 2009, 90 : 209 - 220
[4] Two classes of sign pattern matrices
Shao, Yan-ling
Gao, Yu-bin
Huabei Gongxueyuan Xuebao/Journal of North China Institute of Technology, 2000, 21 (02): : 98 - 101
[5] The relations of spectrally arbitrary, inertially arbitrary and potentially nilpotent sign pattern matrices
Gao, Yu-Bin
Huang, Yi-Hua
Shao, Yan-Ling
PROCEEDINGS OF THE 14TH CONFERENCE OF INTERNATIONAL LINEAR ALGEBRA SOCIETY, 2007, : 19 - 22
[6] A Spectrally Arbitrary Sign Pattern
Jin, Lixia
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL II: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 128 - 131
[7] Nilpotent matrices and spectrally arbitrary sign patterns
Pereira, Rajesh
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2007, 16 : 232 - 236
[8] A geometric construction for spectrally arbitrary sign pattern matrices and the 2n-conjecture
Jadhav, Dipak
Deore, Rajendra
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (02) : 565 - 580
[9] A geometric construction for spectrally arbitrary sign pattern matrices and the 2n-conjecture
Dipak Jadhav
Rajendra Deore
Czechoslovak Mathematical Journal, 2023, 73 : 565 - 580
[10] POTENTIALLY STABLE AND 5-BY-5 SPECTRALLY ARBITRARY TREE SIGN PATTERN MATRICES WITH ALL EDGES NEGATIVE
Das, Sunil
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2021, 37 : 562 - 582

← 1 2 3 4 5 →