Some new criteria for judging H-tensors and their applications

• Published in: AIMS mathematics Vol. 8; no. 4; pp. 7606 - 7617
• Main Authors: Wenbin Gong, Yaqiang Wang
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2023
• Subjects: h-tensor; judging range; positive definiteness; positive diagonal matrix; symmetric tensor
• ISSN: 2473-6988
• DOI: 10.3934/math.2023381

H-tensors play a key role in identifying the positive definiteness of even-order real symmetric tensors. Some criteria have been given since it is difficult to judge whether a given tensor is an H-tensor, and their range of judgment has been limited. In this paper, some new criteria, from an increas...