Symmetry (Jan 2022)
Practical Criteria for <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors and Their Application
Abstract
Identifying the positive definiteness of even-order real symmetric tensors is an important component in tensor analysis. H-tensors have been utilized in identifying the positive definiteness of this kind of tensor. Some new practical criteria for identifying H-tensors are given in the literature. As an application, several sufficient conditions of the positive definiteness for an even-order real symmetric tensor were obtained. Numerical examples are given to illustrate the effectiveness of the proposed method.
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