The inverse problem of Hermitian-generalized anti-Hamiltonian matrices with a submatriz constraint

摘要：

This paper considers Hermitian- generalized anti- Hamiltonian solutions of inverse problem AX= B for A under a submatrix constraint. After discussing the special structure of Hermitian- generalized anti- Hamiltonian matrices, some necessary and sufficient solvability conditions are given, and so does the general representation of the solution set. Moreover, to a given matrix, the expression of its optimal approximation m the solution set is also obtained.

关键词： Hermitian-generalized anti-Hamiltonian matriz inverse problem submatriz constraint Frobenius norm optimal approzimation

作者: Lisha Gong Lijun Zhao

作者单位: School of Applied Math, Univ.of Electronic Science and Technology of China, Chengdu, China School of mathematics and information engineering, Taizhou University, Linhai, Zhejiang

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 51-54

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）