反哈密顿矩阵的特征值反问题  

An inverse eigenvalue problem of inverse Hamiltonian matrices

作　　者：胡姗姗 李思思 罗佳杰 ZHA Ming-xin;XIE Tao;SI Wen-xiao(College of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China)

机构地区：[1]湖北师范大学数学与统计学院,湖北黄石435002

出　　处：《湖北师范大学学报（自然科学版）》2022年第1期15-20,共6页Journal of Hubei Normal University：Natural Science

摘　　要：研究反哈密顿矩阵的特征值反问题,得到反问题的可解性条件,利用矩阵的广义奇异值分解给出通解的表示.进一步讨论特征值反问题的最佳逼近问题,并给出最佳逼近解的表达式。In this paper,the inverse eigenvalue problem of inverse Hamiltonian matrices is studied.The solvable conditions of the inverse problem are obtained,and the general solution is expressed by the generalized singular value decomposition of matrices.Furthermore,the optimal approximation problem of inverse eigenvalue problem is discussed and the expression of the solution of the optimal approximation problem is given.

关 键 词：反哈密顿矩阵 特征值反问题 广义奇异值分解 最佳逼近 

分 类 号：O151.1[理学—数学]