张量US-特征值的一个新定位集
A New Localization Set for the US-eigenvalues of a Tensor
汪春叶 1赵建兴1
作者信息
- 1. 贵州民族大学数据科学与信息工程学院,贵阳 550025
- 折叠
摘要
针对复张量A的US-特征值的定位问题,本文构造了US-特征值的一个新定位集,证明了该定位集比已有定位集更精确,作为应用,给出了A的US-谱半径的一个上界.最后,通过数值算例验证了本文理论结果的正确性.
Abstract
For the localization of the US-eigenvalues of a complex tensor,a new localization set of the US-eigenvalues is constructed and proved that it is more accurate than many existing localization sets.As application,an upper bound of the US-spectral radius is obtained.Finally,a numerical example is given to verify the correctness of the obtained theoretical results in this paper.
关键词
复张量/对称张量/US-特征值/定位集/US-谱半径Key words
complex tensors/symmetric tensors/US-eigenvalues/localization sets/US-spectral radius引用本文复制引用
出版年
2024