Inverse Eigenvalue Problems and Their Associated Approzimation Problems for Matrices with J-(Skew) Centrosymmetry

摘要：

The inverse problems play an important role in MEG reconstructions 3, 4, 5, 6, 7. In this paper, a partially described inverse eigenvalue problem and an associated optimal approximation problem for J-centrosymmetric matrices are considered respectively. It is shown under which conditions the inverse eigenproblem has a solution. An expression of its general solution is given. In case a solution of the inverse eigenproblem exists, the optimal approximation problem can be solved. The formula of its unique solution is given. Also, the case for J-skew centrosymmetric matrices is considered.

关键词： J-centrosymmetric matrices J-skew centrosymmetric Inverse eigenvalue problem optimal approzimation

作者: Zhong-Yun Liu You-Cai Duan Yun-Feng Lai Yu-Lin Zhang

作者单位: School of Math,Changsha University of Science & Technology,Hunan,410076,China Dept.of Math,University of Minho,Campus de Gualtar,4710-057 Braga,Portugal

会议类型: 国际会议

会议名称: The 3rd International Symposium on Optimization and System Biology(第三届最优化与系统生物学国际会议 OSB09)

会议地点: 张家界

会议语种:英文

页码: 329-336

在线出版日期: 2009-09-20（万方平台首次上网日期，不代表论文的发表时间）