弱不可约非负张量H-谱半径的算法

吉林大学学报(理学版) ›› 2026, Vol. 64 ›› Issue (5): 993-0998.

弱不可约非负张量H-谱半径的算法

吕洪斌¹，陈梅香¹, 郑舒娴²

1. 福建省金融信息处理重点实验室(莆田学院), 福建莆田 351100; 2. 莆田学院数学与金融学院，福建莆田 351100

收稿日期:2026-04-20 出版日期:2026-09-26 发布日期:2026-09-26
通讯作者: 陈梅香 E-mail: cmxmath@126.com

Algorithm for Computing the H-Spectral Radius of Weakly Irreducible Nonnegative Tensors

Lü Hongbin¹, Chen Meixiang¹, Zheng Shuxian²

1. Fujian Key Laboratory of Financial Information Processing (Putian University), Putian 351100, Fujian Province, China;
2. School of Mathematics and Finance, Putian University, Putian 351100, Fujian Province, China

Received:2026-04-20 Online:2026-09-26 Published:2026-09-26

摘要/Abstract

摘要： 给出非负张量H-谱半径的一个幂型算法，并利用张量的有向图证明该算法是R-线性收敛的，进而得到算法线性收敛的一般条件. 结果表明，该算法适用于所有弱不可约非负张量H-谱半径的计算，与NQZ算法适用于弱本原张量比较适用范围更广.

关键词: 非负张量, H-谱半径, 幂型算法, R-线性收敛

Abstract: A power-type iterative algorithm is proposed for computing the H-spectral radius of nonnegative tensors. By utilizing the directed graph associated with the tensor, the R-linear convergence of the algorithm is established, and sufficient conditions for linear convergence are further derived. The proposed algorithm is applicable to all weakly irreducible nonnegative tensors. Compared with the NQZ algorithm, which is designed for weakly primitive tensors, the proposed method has a broader range of applicability.

Key words: , nonnegative tensor, H-spectral radius, power-type algorithm, R-linear convergence

中图分类号:

O183.2

吕洪斌, 陈梅香, 郑舒娴. 弱不可约非负张量H-谱半径的算法[J]. 吉林大学学报(理学版), 2026, 64(5): 993-0998.

Lü Hongbin, Chen Meixiang, Zheng Shuxian. Algorithm for Computing the H-Spectral Radius of Weakly Irreducible Nonnegative Tensors[J]. Journal of Jilin University Science Edition, 2026, 64(5): 993-0998.

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