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Positive definiteness of fourth-order partially symmetric tensors.
- Source :
- Applied Mathematics: A Journal of Chinese Universities; Dec2023, Vol. 38 Issue 4, p581-590, 10p
- Publication Year :
- 2023
-
Abstract
- In this paper, we consider the positive definiteness of fourth-order partially symmetric tensors. First, two analytically sufficient and necessary conditions of positive definiteness are provided for fourth-order two dimensional partially symmetric tensors. Then, we obtain several sufficient conditions for rank-one positive definiteness of fourth-order three dimensional partially symmetric tensors. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10051031
- Volume :
- 38
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Applied Mathematics: A Journal of Chinese Universities
- Publication Type :
- Academic Journal
- Accession number :
- 174298351
- Full Text :
- https://doi.org/10.1007/s11766-023-4703-y