New Pareto Z-eigenvalue localization theorems for tensors with applications

作者： Licai Shao ¹ Xingong Zhang ¹ Yisheng Song ¹
作者单位：

1. Chongqing Normal University
通讯作者： Xingong Zhang Email:zhangxingong@cqnu.edu.cn
提交时间：2026-09-09 17:07:47

摘要: In this paper, we establish some new localization sets for Pareto Z-eigenvalues of tensor eigenvalue complementarity problems and discuss the relationships among existing ones. As applications, a sufficient condition for the solution existence of the tensor complementarity problem (TCP) and the tensor generalized eigenvalue complementarity problem (TGEiCP) are presented. In addition, this condition is also used to test the vacuum stability of a general scalar potential.

Tensor eigenvalue complementarity problem Pareto Z-eigenvalue Localization set Copositive tensor

来自： 宋义生
分类： 数学 >> 计算科学理论
投稿状态： 已投稿期刊
引用： ChinaXiv:202609.00446 (或此版本 ChinaXiv:202609.00446V1)
DOI:10.12074/202609.00446
CSTR:32003.36.ChinaXiv.202609.00446
科创链TXID： 99346d63-a492-4181-adb9-8ac5e4fc2920
推荐引用方式： Licai Shao,Xingong Zhang,Yisheng Song.New Pareto Z-eigenvalue localization theorems for tensors with applications.中国科学院科技论文预发布平台.[DOI:10.12074/202609.00446] (点此复制)

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2026-09-09 17:07:47

ChinaXiv:202609.00446V1

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New Pareto Z-eigenvalue localization theorems for tensors with applications

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