Bounds of H-eigenvalues of interval tensors

被引：0
|
作者：
Lu-Bin Cui
Xiao-Jing Zhang
机构：
[1] Henan Normal University,School of Mathematics and Information Sciences, Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control
来源：
Computational and Applied Mathematics | 2023年 / 42卷
关键词：
Bound; Eigenvalue; Symmetric tensor; Nonnegative tensor; Perturbation; 15A18; 15A69;
D O I：
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中图分类号：
学科分类号：
摘要：
The tensor eigenvalue problem has been widely studied in recent years. In this paper, we propose a new constructive way to estimate bounds on the H-eigenvalues of two kinds of interval tensors including nonnegative tensors and real symmetric tensors of even order. As applications, perturbation analysis of both nonnegative tensors and real symmetric tensors is numerically studied. One open question in Qi (Linear Algebra Appl 439:228–238, 2013) has also been answered.
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