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M-张量的若干新性质

Some New Properties of M-Tensors
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摘要 应用非负张量的Perron-Frobenius理论,对非奇异M-张量以及M-张量的特征值、半非负性和主子张量进行研究,获得了非奇异M-张量的几个充分必要条件和M-张量的特征值,以及半非负性和主子张量的几个新性质. Nonsingular M-tensors and its eigenvalues,half-nonnegativity and principal subtensor of M-tensors are researched by using Perron-Frobenius theory of nonnegative tensor.And some new necessary and sufficient conditions of some nonsingular M-tensor and new properties for the eigenvalue,half-nonnegativity and principal subtensors of M-tensors are obtained.
作者 张娅 李耀堂
出处 《昆明学院学报》 2014年第3期1-4,共4页 Journal of Kunming University
基金 国家自然科学基金资助项目(11361074)
关键词 非负张量 M-张量 特征值 谱半径 主子张量 nonnegative tensor M-tensor eigenvalue spectral radius principal subtensor
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参考文献9

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