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H-张量判定的新迭代准则及其应用

王峰 孙德淑

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. doi: 10.3879/j.issn.1000-0887.2015.12.010
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. doi: 10.3879/j.issn.1000-0887.2015.12.010
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. 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
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

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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  • 被引次数: 0
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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