New bounds for the minimum eigenvalue of 𝓜-tensors

Abstract

A new lower bound and a new upper bound for the minimum eigenvalue of an 𝓜-tensor are obtained. It is proved that the new lower and upper bounds improve the corresponding bounds provided by He and Huang (J. Inequal. Appl., 2014, 2014, 114) and Zhao and Sang (J. Inequal. Appl., 2016, 2016, 268). Finally, two numerical examples are given to verify the theoretical results.

Keywords

• 𝓜-tensors
• nonnegative tensors
• minimum eigenvalue
• 15a18
• 15a42
• 15a69