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.
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Wang, Hg. Positive definiteness of fourth-order partially symmetric tensors. Appl. Math. J. Chin. Univ. 38, 581–590 (2023). https://doi.org/10.1007/s11766-023-4703-y
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DOI: https://doi.org/10.1007/s11766-023-4703-y