@article{Wen2025, 
author = {Keru Wen and Jiaqi Qi and Yaqiang Wang},
title = {S  D      D    2   tensors and        B    2  -tensors},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {4},
pages = {2433-2451},
keywords = {H-tensor, SDD2 tensor, B2-tensor, real symmetric tensor, even-order homogeneous polynomial},
url = {https://www.sciopen.com/article/10.3934/era.2025108},
doi = {10.3934/era.2025108},
abstract = {Strong        H  -tensors have many important applications in practical problems. In particular, strong        H  -tensors play an important role in the positive qualitative determination of multivariate even-order homogeneous polynomials. Therefore, research in this field is of great theoretical and practical value. This paper focuses on introducing a novel class of tensors, termed    S  D      D    2   tensors, which are derived from    S  D      D    2   matrices and constitute a subclass of strong        H  -tensors. Furthermore, we also investigate the relationships among    S  D      D    2   tensors, strong        H  -tensors,    S  D      D    1   tensors and    S  D  D tensors. Additionally, we extend the concept of    S  D      D    2   tensors to    B-tensors, thereby defining a new tensor class called        B    2  -tensors and analyzing their fundamental properties.}
}