| 张量伪谱的新包含域 |
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| 引用本文： | 何军,刘衍民.张量伪谱的新包含域[J].西南师范大学学报(自然科学版),2019,44(8):7-10. |
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| 作者姓名： | 何军 刘衍民 |
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| 作者单位： | 遵义师范学院数学学院 |
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| 基金项目： | 国家自然科学基金项目（71461027）；贵州省科技计划项目（黔科合平台人才[2017年]5727-21号）；贵州省高层次创新人才项目（遵科合人才[2017]8）. |
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| 摘 要： | 张量伪谱可以看成是矩阵伪谱的推广,它在齐次动力系统中有着重要的作用.对张量伪谱圆盘定理进一步研究.利用张量伪谱中特征向量的最大元,给出了张量伪谱的新包含域.数值例子验证了结果的有效性.
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| 关 键 词： | 张量 伪谱 包含域 |
| 收稿时间： | 2018/3/11 0:00:00 |
Pseudo-spectrum Localization Sets of Tensors |
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| HE Jun,LIU Yan-min.Pseudo-spectrum Localization Sets of Tensors[J].Journal of Southwest China Normal University(Natural Science),2019,44(8):7-10. |
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| Authors: | HE Jun LIU Yan-min |
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| Institution: | School of Mathematics, Zunyi Normal College, Zunyi Guizhou 563006, China |
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| Abstract: | The definition of pseudo-spectrum of tensors can be seemed as a generation of the definition of pseudo-spectrum of matrices, which plays important role in the homogeneous dynamical system. The pseudospectra localization of tensors is often used to determine the existence of its asymptotically stable solution for the homogeneous dynamical system. In this paper, a new pseudospectra localization of tensors is established by the maximum element of the eigenvector. Numerical experiments are reported to show effectiveness of our results. |
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| Keywords: | tensor pseudo-spectrum localization set |
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