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由混合特征对构造对称三对角矩阵
引用本文:田雨,王金林.由混合特征对构造对称三对角矩阵[J].南昌航空工业学院学报,2010,24(1):74-80.
作者姓名:田雨  王金林
作者单位:南昌航空大学;
摘    要:文章考虑一类由混合特征对构造对称三对角矩阵,文中给出了解的存在性和唯一性的充分必要条件,并且给出相应的算法和数值算例。

关 键 词:混合特征对  对称三对角矩阵  反问题  

On the Construction of a Symmetric Tridiagonal Matrix from its Mixed-type Eigenpairs
TIAN Yu,WANG Jin-lin.On the Construction of a Symmetric Tridiagonal Matrix from its Mixed-type Eigenpairs[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2010,24(1):74-80.
Authors:TIAN Yu  WANG Jin-lin
Institution:Nanchang Hangkong University/a>;Nanchang/a>;Jiangxi 330063/a>;China
Abstract:In this paper,an inverse eigenvalue problem of constructing a symmetric tridiagonal matrix from its mix-type eigenpairs is considered.The necessary and sufficient conditions for the existence and uniqueness of the solutions are derived.One numerical algorithm and several numerical examples are given.
Keywords:mixed-type eigenpairs  symmetric tridiagonal matrix  inverse problem  
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