一类广义Jacobi矩阵的逆特征值问题  

A Class of Inverse Eigenvalue Problems for the Generalized Jacobi Matrix

作　　者：孟纯军[1] 姜婷婷[1] MENG Chun-jun JIANG Ting-ting(College of Mathematics and Econometrics, Hunan University, Changsha 410082, China)

机构地区：[1]湖南大学数学与计量经济学院,中国长沙410082

出　　处：《湖南师范大学自然科学学报》2017年第2期76-80,共5页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(11271117)

摘　　要：本文研究了一类广义Jacobi矩阵的逆特征值问题,给出了该问题有解的充要条件,并讨论了解的唯一性.进一步,本文给出算法计算该问题的解,数值实例说明算法是行之有效的.In this paper we considered a class of inverse eigenvalue problems for the generalized Jacobi matrix. The necessary and sufficient conditions under which the problem is solvable are presented. Their uniqueness is also discussed. Furthermore, we provided an algorithm to obtain the solution. Numerical examples were given to illustrate that our algorithm is both feasible and effective.

关 键 词：JACOBI矩阵 广义JACOBI矩阵 特征值 逆特征值问题 

分 类 号：O241.6[理学—计算数学]