偶数阶实对称张量H-特征值的上界和下界

The Upper and Lower Bounds of Even Order Real Symmetric Tensor H-Characteristic Value

根据一类新的结构张量SB--张量,给出其偶数阶实对称张量H-特征值的上界和下界,称其为SB-区间,通过数值例子与Brauer-型特征值包含区域及文献[6]的结果进行比较,所得出的H-特征包含区间比文献[6]的结果更精确.

In this paper,the upper and lower bounds of even order real symmetric tensor H-eigenvalue,called SB--interval,are given based on a new structure tensor SB--tensor.And the H-eigenvalue inclusion range obtained from the comparison with Brauer-type eigenvalue inclusion area and the results of Literature[6]is more accurate than the result in Literature[6].