%0 Journal Article
%T Construction of Jacobi Matrix from its Submatrix and Spectrum and |its Expansion<br>由谱数据和主子矩阵构造Jacobi矩阵及其推广
%A WEI Ying
%A DAI Hua
%A <br>魏莹
%A 戴华
%J 数学物理学报(A辑)
%D 2012
%I 
%X This paper considers the following problem: how to construct a Jacobi matrix from its spectrum and a submatrix. The numerical algorithms are given. Then we expand the result to the method of expanding a spring mass system to double dimension and the inverse  problem of constructing  a tridiagonal quadratic pencil.
%K Inverse problemzz
%K Jacobi matrixzz
%K Quadratic pencilzz
%K Spring mass systemzz
%K Submatrixzz<br>反问题
%K Jacobi矩阵
%K 二次特征值
%K 弹簧质点系统
%K 主子矩阵
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F0667CBE5F74663A9D&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=0B39A22176CE99FB&sid=35E8A259891FB32F&eid=8C27CCA578E52082&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0