本质拟对称非负张量H-谱半径的算法  

Algorithm for H-Spectral Radius of EssentiallyQuasi-symmetric Non-negative Tensors

作　　者：林志兴[1] 吕洪斌 LIN Zhixing;L Hongbin(Fujian Key Laboratory of Financial Information Processing(Putian University),Putian 351100,Fujian Province,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：《吉林大学学报(理学版)》2025年第2期411-416,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:61772292);福建省自然科学基金(批准号:2023J01997);莆田市科技项目(批准号:2023SZ3001PTXY17)。

摘　　要：首先,定义一类本质拟对称非负张量,其是涵盖本质正张量、弱正张量和广义弱正张量的更广泛的张量类.其次,应用张量的H-特征值在对角相似变换下的不变性质,给出本质拟对称非负张量H-谱半径的算法,并用数值例子说明算法的有效性.Firstly,we defined a class of essentially quasi-symmetric non-negative tensors,which encompassed a broader class of tensors covering essentially positive tensors,weakly positive tensors and generalized weakly positive tensors.Secondly,we gave an algorithm for the H-spectral radius of an essentially quasi-symmetric non-negati ve tensor by applying the property that the H-eigenvalues of the tensor were invariant under diagonal similarity transformations,and used numerical examples to illustrate the effectiveness of the algorithm.

关 键 词：本质拟对称非负张量 H-谱半径 算法 

分 类 号：O183.2[理学—数学]