Some Bounds of Eigenvalues for Hadamard Product and Fan Product of Tensors

被引：3

作者：

Xu, Yangyang ^{[1
,2
]}

Zheng, Bing ^{[2
]}

Zhao, Ruijuan ^{[2
]}

机构：

[1] Lanzhou Jiaotong Univ, Sch Math & Phys, Lanzhou 730000, Gansu, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2020年 / 46卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Hadamard product; Fan product; Nonnegative tensor; Strong M-tensor; Eigenvalue; Upper and lower bounds; PERRON-FROBENIUS THEOREM; LOCALIZATION SET; INEQUALITIES;

D O I：

10.1007/s41980-019-00307-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, some new upper bounds on the spectral radius of Hadamard product of nonnegative tensors are given. To show their sharpness, the comparisons among these bounds, including the existing one by Sun et al. (Linear Multilinear Algebra 66:1199-1214, 2018), are performed. We also present some lower bounds on the minimum eigenvalue of Fan product of irreducible strong M-tensors and their sharpness under different conditions are investigated. Some numerical examples are provided to illustrate our theoretical results.

引用

页码：1003 / 1026

页数：24

共 50 条

[41] Some Hadamard product inequalities for accretive matrices
Sheikhhosseini, Alemeh
Malekinejad, Somayeh
Khosravi, Maryam
ADVANCES IN OPERATOR THEORY, 2024, 9 (02)
[42] Some determinantal inequalities for Hadamard product of matrices
Chen, SC
LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 368 : 99 - 106
[43] THE HADAMARD PRODUCT AND SOME OF ITS APPLICATIONS IN STATISTICS
NEUDECKER, H
LIU, S
POLASEK, W
STATISTICS, 1995, 26 (04) : 365 - 373
[44] SOME INEQUALITIES FOR OPERATOR MEANS AND HADAMARD PRODUCT
Matharu, Jagjit Singh
Aujla, Jaspal Singh
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2010, 13 (03): : 643 - 653
[45] ON HADAMARD PRODUCT
BALLANTINE, CS
MATHEMATISCHE ZEITSCHRIFT, 1968, 105 (05) : 365 - +
[46] Lower Bounds for the Product of the Eigenvalues of the Solutions to tihe Matrix Equations
Hajarian, Masoud
FILOMAT, 2015, 29 (06) : 1179 - 1182
[47] Brualdi-type Inequalities on Spectral Radius for the Hadamard Product of Nonnegative Tensors
Xu, Yangyang
FRONTIERS OF MATHEMATICS, 2025, 20 (01): : 87 - 108
[48] THE BLOCK SCHUR PRODUCT IS A HADAMARD PRODUCT
Christensen, Erik
MATHEMATICA SCANDINAVICA, 2020, 126 (03) : 603 - 616
[49] SOME NEW LOWER BOUNDS FOR THE MINIMUM EIGENVALUE OF THE HADAMARD PRODUCT OF AN M-MATRIX AND ITS INVERSE
Li, Yaotang
Liu, Xin
Yang, Xiaoying
Li, Chaoqian
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2011, 22 : 630 - 643
[50] Perturbation bounds for DMP and CMP inverses of tensors via Einstein product
Bingxue Wang
Hongmei Du
Haifeng Ma
Computational and Applied Mathematics, 2020, 39

← 1 2 3 4 5 →