张量广义特征值的新包含域

New Inclusion Sets for the Generalized Tensor Eigenvalue Problem

张量特征值问题在许多科学领域中都具有重要应用.通过进一步研究正则张量对{A,B}的特征值(α,β)的一些性质,给出张量广义特征值的新包含域,在理论上证明所得到的新包含区域比已有的结果更好,并用数值例子说明结果的有效性.

Tensor eigenvalue problem has application in many scientific fields.Some properties of the eigenvalue(α,β)of regular tensor pairs{A,B}are further discussed.We give some new inclusion sets for the generalized tensor eigenvalue problem and prove that these inclusion sets are better than the former results.A numerical experiment shows the validity of our new results.