IMPROVEMENTS IN THE UPPER BOUNDS FOR THE SPREAD OF A MATRIX

被引：2
|
作者：
Zhang, Pingping [1 ]
Yang, Hu [2 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Coll Math & Phys, Chongqing 400065, Peoples R China
[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 01期
关键词：
The spread of a matrix; upper bounds; singular matrix; improvement; eigenvalue; INEQUALITIES; POLYNOMIALS; SPECTRUM;
D O I：
10.7153/mia-18-23
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we present some new upper bounds for the spread of a matrix. These bounds improve the previous results. In addition, one of these bounds can be up to the optimum. Finally, some numerical matrices are given to show the effectiveness of our results.
引用
收藏
页码：337 / 345
页数：9
相关论文
共 50 条
  • [1] Upper bounds for the spread of a matrix
    Wu, Junliang
    Zhang, Pingping
    Liao, Wenshi
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (11) : 2813 - 2822
  • [2] Remark on upper bounds for the spread of a matrix
    Sharma, R.
    Kumar, R.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2013, 438 (11) : 4359 - 4362
  • [3] IMPROVEMENTS OF UPPER CURVATURE BOUNDS
    Lytchak, Alexander
    Stadler, Stephan
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (10) : 7153 - 7166
  • [4] Upper Bounds for Randic Spread
    Gomes, Helena
    Martins, Enide
    Robbiano, Maria
    San Martin, Bernardo
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2014, 72 (01) : 267 - 278
  • [5] Further bounds for the spread of a matrix
    Soltani, Soumia
    Frakis, Abdelkader
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2024, 17 (01): : 1 - 10
  • [6] Further bounds for the spread of a matrix
    Soumia Soltani
    Abdelkader Frakis
    Bollettino dell'Unione Matematica Italiana, 2024, 17 : 1 - 10
  • [7] LOWER BOUNDS FOR THE SPREAD OF A MATRIX
    JOHNSON, CR
    KUMAR, R
    WOLKOWICZ, H
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1985, 71 (NOV) : 161 - 173
  • [8] Upper bounds on the Laplacian spread of graphs
    Andrade, Enide
    Gomes, Helena
    Robbiano, Maria
    Rodriguez, Jonnathan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 492 : 26 - 37
  • [9] Lower bounds for the spread of a Hermitian matrix
    Jiang, EX
    Zhan, XZ
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1997, 256 : 153 - 163
  • [10] LOWER BOUNDS FOR THE SPREAD OF A NONNEGATIVE MATRIX
    Drnovsek, Roman
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2021, 24 (03): : 793 - 799
12345