%0 Journal Article
%T The Inverse Eigenvalue Problem of Hamiltonian Matrices<br>哈密顿矩阵的逆特征值问题
%A Meng Chunjun
%A Hu Xiyan
%A <br>孟纯军
%A 胡锡炎
%J 数学物理学报(A辑)
%D 2007
%I 
%X In this paper the authors mainly discuss the inverse eigenvalue problem of Hamil- tonian matrices.The necessary and sufficient conditions of solvability for the problem are conducted.And the general form of solutions is presented.Further,the authors research the optimal approximation solution to any given matrix,prove that such solution is unique and provide the formula to compute it.Some examples are given to demonstrate that the results are right and the algorithm is feasible.
%K Inverse eigenvalue problem
%K Hamiltonian matrix
%K Singular value decomposition(SVD)
%K Optimal approximate solutions<br>逆特征值问题
%K 哈密顿矩阵
%K 奇异值分解
%K 最佳逼近解
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=6A7E91CC06888E53&yid=A732AF04DDA03BB3&vid=DB817633AA4F79B9&iid=38B194292C032A66&sid=D98387EFB283C5E0&eid=A6683C8C0EB9BCA7&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=7