Convergence analysis of the largest and smallest H-eigenvalues for a class of tensor sequences

被引：0
|
作者：
Lan, Zhaofeng [1 ]
Liu, Jianxun [2 ]
Jiang, Xianzhen [2 ]
机构：
[1] Guangxi Minzu Univ, Sch Math & Phys, Nanning 530006, Peoples R China
[2] Guangxi Minzu Univ, Ctr Appl Math Guangxi, Sch Math & Phys, Nanning 530006, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2024年 / 70卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Tensor sequences; H-eigenvalues; Convergence analysis; DECOMPOSITION;
D O I：
10.1007/s12190-024-02096-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the convergence analysis of the H-eigenvalues for a class of real symmetric and convergent tensor sequences. We first establish convergence results of some sequences of points. Then we study the behaviors of the H-eigenvalues and H-eigenvectors of the convergent tensor sequence. In particular, we obtain the convergence properties of the largest and smallest H-eigenvalues of the tensor sequence. Eventually, the corresponding numerical results are presented to verify our theoretical findings.
引用
收藏
页码：3395 / 3409
页数：15
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