一类双对角占优H-张量及其应用  

A class of bi-diagonally dominant H-tensor and its applications

作　　者：吕洪斌 林志兴[1] LYU Hong-bin;LIN Zhi-xing(Fujian Key Laboratory of Financial Information Processing,Putian University,Putian 351100,China)

机构地区：[1]福建省金融信息处理重点实验室,莆田学院,福建莆田351100

出　　处：《东北师大学报（自然科学版）》2024年第4期20-25,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61772292);福建省自然科学基金资助项目(2023J01997,2021J011103);莆田市科学技术局项目(2022SZ3001ptxy05)。

摘　　要：应用张量的结构,定义了一类双对角占优张量,证明了其为H-张量.作为应用给出了非负张量谱半径上下界的估计不等式,改进了经典的非负张量谱半径上下界的Perron-Frobenius定理.Applying the structure of the tensor,a class of bi-diagonally dominant tensors is defined and proved to be H-tensors.As an application,estimation inequalities is given by this article for upper and lower bounds on the H-spectral radius of non-negative tensors,and improve the classical Perron-Frobenius theorem for upper and lower bounds on the H-spectral radius of non-negative tensors.

关 键 词：双对角占优H-张量 非负张量 谱半径的估计 

分 类 号：O183.2[理学—数学]