On the stability and spectral radius of a finite set of matrices

被引:0
|
作者
Canto, B. [1 ]
Coll, C. [1 ]
Sanchez, E. [1 ]
机构
[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, E-46022 Valencia, Spain
来源
LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 03期
关键词
nonnegative matrix; stability; spectral radius; periodic linear systems; epidemic model; BASIC REPRODUCTION NUMBER; MODELS;
D O I
10.1080/03081087.2015.1040404
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper studies some problems related to the stability and the spectral radius of a finite set of matrices. A seasonal epidemic model is given to illustrate the use of the obtained results. In this example, the relationship between the obtained results and the stability of a discrete time periodic linear system is obtained.
引用
收藏
页码:353 / 361
页数:9
相关论文
共 50 条
  • [1] SOME PROPERTIES OF THE SPECTRAL RADIUS OF A SET OF MATRICES
    Czornik, Adam
    Jurgas, Piotr
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2006, 16 (02) : 183 - 188
  • [2] Bounds on the Spectral Radius of Nonnegative Matrices
    Babouklis, Fotis
    Adam, Maria
    Assimakis, Nicholas
    2ND INTERNATIONAL CONFERENCE ON MATHEMATICS AND COMPUTERS IN SCIENCE AND ENGINEERING (MACISE 2020), 2020, : 51 - +
  • [3] Some inequalities on the spectral radius of matrices
    Zhao, Linlin
    Liu, Qingbing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [4] Some inequalities on the spectral radius of matrices
    Linlin Zhao
    Qingbing Liu
    Journal of Inequalities and Applications, 2018
  • [5] Bounds for the spectral radius of nonnegative matrices and generalized Fibonacci matrices
    Adam, Maria
    Aretaki, Aikaterini
    SPECIAL MATRICES, 2022, 10 (01): : 308 - 326
  • [6] On the spectral radius and the spectral norm of Hadamard products of nonnegative matrices
    Huang, Zejun
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 434 (02) : 457 - 462
  • [7] On sharp bounds for spectral radius of nonnegative matrices
    Lin, Hongying
    Zhou, Bo
    LINEAR & MULTILINEAR ALGEBRA, 2017, 65 (08): : 1554 - 1565
  • [8] Optimization of the spectral radius of a product for nonnegative matrices
    Axtell, Jonathan
    Han, Lixing
    Hershkowitz, Daniel
    Neumann, Michael
    Sze, Nung-Sing
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (5-6) : 1442 - 1451
  • [9] Sharp bounds for the spectral radius of nonnegative matrices
    Xing, Rundan
    Zhou, Bo
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 449 : 194 - 209
  • [10] Sharp bounds on the spectral radius of nonnegative matrices and comparison to the frobenius’ bounds
    Adam M.
    Assimakis N.
    Babouklis F.
    1600, North Atlantic University Union, 942 Windemere Dr. NW.,, Salem, Oregon 97304, United States (14): : 423 - 434