Minimal Gersgorin tensor eigenvalue inclusion set and its approximation

作者：Li, Chaoqian; Zhang, Chengyi; Li, Yaotang^*

来源：Journal of Computational and Applied Mathematics, 2016, 302: 200-210.

DOI：10.1016/j.cam.2016.02.008

• Tensor eigenvalue
• Minimal Gerggorin tensor eigenvalue theorem
• Boundary
• Approximation

For a tensor, its minimal Gersgorin tensor eigenvalue inclusion set is presented. By establishing a sufficient and necessary condition for the elements belonging to this set, we give a sequence of approximation sets and prove that the limit of this sequence is the minimal Gersgorin tensor eigenvalue inclusion set for an irreducible tensor.

• 出版日期2016-8-15
• 单位云南大学; 西安工程大学