Brauer类张量特征值定位集

Brauer-type Eigenvalue Localization for Tensors

针对张量特征值的估计问题,通过得到类似于矩阵上Brauer卵形定理的方法,得到一个不同的张量特征值的包含区域.经过证明得到的包含区域更精确.当该定理退化成矩阵上的特征值包含区域时,得到一个新的矩阵特征值包含区域,并且和已有的特征值包含区域进行比较.经证明得到的结果劣于已有的包含区域.

Aiming at estimation of eigenvalues of tensors, a method for different tensor eigenvalue was obtained by a method similar to that of the Brauer ovoid theorem. The contained region was proved to be more precise. When the theorem was degenerated into the eigenvalue of matrix, a new matrix eigenvalue was obtained. Compared with the existing eigenvalue inclusion, the obtained results are inferior to the existing inclusion region.