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H-张量判定的新迭代准则及其应用

 引用本文: 王峰, 孙德淑. H-张量判定的新迭代准则及其应用[J]. 应用数学和力学, 2015, 36(12): 1315-1323.
WANG Feng, SUN De-shu. New Iterative Judging Criteria for H-Tensors and Some Applications[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1315-1323. doi: 10.3879/j.issn.1000-0887.2015.12.010
 Citation: WANG Feng, SUN De-shu. New Iterative Judging Criteria for H-Tensors and Some Applications[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1315-1323.

## 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

###### 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

## New Iterative Judging Criteria for H-Tensors and Some Applications

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

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