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一类张量特征值互补问题

本站小编 Free考研考试/2021-12-27

罗刚1, 杨庆之1,2
1. 南开大学数学科学学院, 天津 300071;
2. 喀什大学数学与统计学院, 喀什 844006
收稿日期:2018-03-28出版日期:2019-12-15发布日期:2019-11-16


基金资助:国家自然科学基金项目(11671217),新疆自然科学基金项目(2017D01A14).


A CLASS OF TENSOR EIGENVALUE COMPLEMENTARITY PROBLEM

Luo Gang1, Yang Qingzhi1,2
1. School of Mathematical Sciences, Nankai University, Tianjin 300071, China;
2. School of Mathematics and Statistics, Kashi University, Kashi 844006, China
Received:2018-03-28Online:2019-12-15Published:2019-11-16







摘要



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矩阵特征值互补问题在力学系统领域有广泛的应用.在本文中,我们提出了一类特殊的四阶张量特征值互补问题,它是矩阵特征值互补问题的推广.我们对该特征值互补问题解的存在性,计算复杂度等性质进行了初步的研究.在一定条件下,我们建立了该互补问题同一类非线性约束优化问题的等价性联系,并由此提出了平移投影幂法来求解该特征值互补问题.
MR(2010)主题分类:
65K10
65F15
15A18
15A69
90C22
90C33

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