<em>H</em>-张量判定的新迭代准则及其应用

王峰; 孙德淑

doi:10.3879/j.issn.1000-0887.2015.12.010

H-张量判定的新迭代准则及其应用

doi: 10.3879/j.issn.1000-0887.2015.12.010

王峰,
孙德淑

贵州民族大学理学院,贵阳 550025

基金项目: 国家自然科学基金(11361074);贵州省科学技术基金(［2015］2073);贵州省教育厅自然科学基金(［2015］420)

详细信息

作者简介:
王峰(1981—),男,山东临沂人，副教授,博士(通讯作者. E-mail: wangf991@163.com).

中图分类号: O151.21
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出版历程
- 收稿日期: 2015-03-30
- 修回日期: 2015-10-12
- 刊出日期: 2015-12-15

New Iterative Judging Criteria for H-Tensors and Some Applications

College of Science, Guizhou Minzu University, Guiyang 550025, P.R.China

Funds: The National Natural Science Foundation of China(11361074)

摘要

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.
- H-张量 /
- 实对称张量 /
- 正定性 /
- 不可约
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.
- H-tensor /
- real symmetric tensor /
- positive definiteness /
- irreducible

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参考文献(12)

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