Based on the matrix unfolding technique of a tensor, three easily checkable sufficient conditions for the M-positive definiteness of fourth-order partially symmetric tensors are given. Numerical examples show that the proposed results are efficient.

中文翻译：

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四阶部分对称张量的M-正定性的可检验准则

基于张量的矩阵展开技术，给出了四阶部分对称张量的M正定性的三个容易检查的充分条件。数值算例表明，所提出的结果是有效的。