何军, 刘衍民, 许光俊

遵义师范学院数学学院, 遵义 563006

收稿日期:2020-02-11出版日期:2021-11-14发布日期:2021-11-12


基金资助:国家自然科学基金（11661084）资助.

NEW M-EIGENVALUE INCLUSION SETS FOR FOURTH-ORDER PARTIALLY SYMMETRIC TENSORS WITH APPLICATIONS

He Jun, Liu Yanmin, Xu Guangjun

School of Mathematics, Zunyi Normal college, Zunyi 563006, China

Received:2020-02-11Online:2021-11-14Published:2021-11-12







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四阶不完全对称张量的M-特征值在非线性弹性材料分析中有着广泛的应用.本文的目的是给出四阶不完全对称张量M-特征值的新包含域，得到最大M-特征值上界更精确的估计，并将得到的上界估计值应用到计算最大M-特征值的WQZ算法中，数值例子验证了结果的有效性.最后，基于得到的包含域，给出了四阶不完全对称张量正定性判定的充分条件.
MR(2010)主题分类:
65F15
65F10
15A18
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