A Method with Parameter for Solving the Spectral Radius of Nonnegative Tensor

作     者：Yi-Yong Li Qing-Zhi Yang Xi He 

作者机构：School of Mathematical Sciences and Lab of Pure Mathematics and CombinaticNankai UniversityTianjin 300071China 

出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)

年 卷 期：2017年第5卷第1期

页      面：3-25页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the Ph.D.Candidate Research Innovation Fund of Nankai University.Qing-Zhi Yang’s work was supported by the National Natural Science Foundation of China(No.11271206) Doctoral Fund of Chinese Ministry of Education(No.20120031110024) 

主　　题：Nonnegative tensor Indirectly positive tensors Linear convergence Perturbation Complexity 

摘      要：In this paper,a method with parameter is proposed for finding the spectral radius of weakly irreducible nonnegative *** is more,we prove this method has an explicit linear convergence rate for indirectly positive ***,the algorithm is exactly the NQZ method(proposed by Ng,Qi and Zhou in Finding the largest eigenvalue of a non-negative tensor SIAM J Matrix Anal Appl 31:1090–1099,2009)by taking a specific ***,we give a modified NQZ method,which has an explicit linear convergence rate for nonnegative tensors and has an error bound for nonnegative tensors with a positive Perron ***,we promote an inexact power-type ***,some numerical results are reported.