Eigenvalues and structured properties of P-tensors

Abstract

We define two new constants associated with real eigenvalues of a P-tensor. With the help of these two constants, in the case of P-tensors, we establish upper bounds of two important quantities, whose positivity is a necessary and sufficient condition for a general tensor to be a P-tensor.

References in corpus (4)

• Properties of Solution set of Tensor Complementarity Problem
• Generalized Eigenvalue Complementarity Problem for Tensors
• The Sparsest Solutions to $Z$-Tensor Complementarity Problems
• Higher-degree eigenvalue complementarity problems for tensors

Cited by in corpus (3)

• Properties of the solution set of generalized polynomial complementarity problems
• Formulating an $n$-person noncooperative game as a tensor complementarity problem
• Introduction to Tensor Variational Inequalities