Novel Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems and its applications

Abstract

In this paper, we establish Pareto $ Z $-eigenvalue inclusion intervals of tensor eigenvalue complementarity problems based on the spectral radius of symmetric matrices deduced from the provided tensor. Numerical examples are suggested to demonstrate the effectiveness of the results. As an application we offer adequate criteria for the strict copositivity of symmetric tensors.

Keywords

• tensor eigenvalue complementarity problems
• pareto $ z $-eigenvalue intervals
• strict copositivity
• lower and upper bounds