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.
作者
吕洪斌
林志兴
LYU Hong-bin;LIN Zhi-xing(Fujian Key Laboratory of Financial Information Processing,Putian University,Putian 351100,China)
出处
《东北师大学报(自然科学版)》
CAS
北大核心
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)。
关键词
双对角占优H-张量
非负张量
谱半径的估计
bi-diagonally dominant H-tensor
non-negative tensor
estimation of the H-spectral radius
