由混合特征对构造对称三对角矩阵  

On the Construction of a Symmetric Tridiagonal Matrix from its Mixed-type Eigenpairs

作　　者：田雨[1] 王金林[1] 

机构地区：[1]南昌航空大学,江西南昌330063

出　　处：《南昌航空大学学报（自然科学版）》2010年第1期74-80,共7页Journal of Nanchang Hangkong University(Natural Sciences)

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。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 algo- rithm and several numerical examples are given.

关 键 词：混合特征对 对称三对角矩阵 反问题 

分 类 号：O241.6[理学—计算数学]