An inverse eigenvalue problem for periodic Jacobi matrices

被引：23
作者：
Xu, Ying-Hong [1 ]
Jiang, Er-Xiong [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源：
INVERSE PROBLEMS | 2007年 / 23卷 / 01期
关键词：
D O I：
10.1088/0266-5611/23/1/008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the spectral properties of periodic Jacobi matrices are presented. We study an inverse problem for periodic Jacobi matrices, and obtain a necessary and sufficient condition under which this problem is solvable. Our condition is equivalent to the condition of Xu S F (1998 An Introduction to Inverse Algebraic Eigenvalue Problems (Beijing/Braunschweig: Peking University Press/Vieweg)). A new algorithm for constructing all possible solutions is presented. The number and the relationship of solutions are also discussed.
引用
收藏
页码：165 / 181
页数：17
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