New Iterative Judging Criteria for H-Tensors and Some Applications
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摘要: H-张量在科学和工程实际中具有重要应用,但在实际中要判定H-张量是比较困难的.通过构造不同的正对角阵,结合不等式的放缩技巧,给出了H-张量判定的几个新迭代准则.作为应用,给出了判定偶数阶实对称张量正定性的条件,相应的数值例子说明了结果的有效性.Abstract: H-tensors have wide applications in science and engineering, but it is difficult to determine whether a given tensor is an H-tensor or not in practice. Several new iterative judging criteria were given for H-tensors through construction of different positive diagonal matrices and introduction of some techniques of inequalities. For application, some sufficient conditions of the positive definiteness for an even-order real symmetric tensor were given. Results of the numerical examples illustrate the effectiveness of the presented criteria.
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Key words:
- H-tensor /
- real symmetric tensor /
- positive definiteness /
- irreducible
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