Pareto Z-eigenvalue inclusion theorems for tensor eigenvalue complementarity problems

Abstract

Abstract This paper presents some sharp Pareto Z-eigenvalue inclusion intervals and discusses the relationships among different Pareto Z-eigenvalue inclusion intervals for tensor eigenvalue complementarity problems. As an application, we propose a sufficient condition for identifying the strict copositivity of tensors. Some examples are provided to illustrate the obtained results.

Keywords

• Tensor eigenvalue complementarity problems
• Pareto Z-eigenvalues
• Pareto Z-eigenvalue inclusion intervals
• Copositive tensors