Practical Criteria for <inline-formula><math display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-Tensors and Their Application
Identifying the positive definiteness of even-order real symmetric tensors is an important component in tensor analysis. <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</m...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-01-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/1/155 |
| Summary: | Identifying the positive definiteness of even-order real symmetric tensors is an important component in tensor analysis. <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-tensors have been utilized in identifying the positive definiteness of this kind of tensor. Some new practical criteria for identifying <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">H</mi></semantics></math></inline-formula>-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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| ISSN: | 2073-8994 |