Bounds of H-eigenvalues of interval tensors.

The tensor eigenvalue problem has been widely studied in recent years. In this paper, we propose a new constructive way to estimate bounds on the H-eigenvalues of two kinds of interval tensors including nonnegative tensors and real symmetric tensors of even order. As applications, perturbation analysis of both nonnegative tensors and real symmetric tensors is numerically studied. One open question in Qi (Linear Algebra Appl 439:228–238, 2013) has also been answered. [ABSTRACT FROM AUTHOR]