New iterative codes for 𝓗-tensors and an application

Abstract

New iterative codes for identifying 𝓗 -tensor are obtained. As an application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor, i.e., an even-degree homogeneous polynomial form are given. Advantages of results obtained are illustrated by numerical examples.

Keywords

• 𝓗-tensors
• symmetric tensors
• homogeneous polynomial
• positive definiteness
• irreducible
• 15a18
• 15a21
• 15a69