On the construction of a Jacobi matrix from spectral data
On the construction of a Jacobi matrix from spectral data
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DOI：
10.1016/0024-3795(74)90077-9
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发表时间：
1974-10
影响因子：
1.1
通讯作者：
H. Hochstadt
中科院分区：
文献类型：
--
作者：
H. Hochstadt
本文的目的有两个。将证明，适当的一组规定的特征值定义了唯一的雅可比矩阵。此外，还将给出一种根据给定的特征值显式计算矩阵项的构造性方法。本文自成体系，但也可以被认为是早先发表的文章的续篇[L]。关于逆谱问题的一些历史信息以及与其他类型的逆问题的关系，可以参考后者的出版物。
The purpose of this article is twofold. It will be shown that a suitable set of prescribed eigenvalues defines a unique Jacobi matrix. Furthermore, a constructive method will be presented for calculating the terms of the matrix explicitly in terms of the given eigenvalues. This article is selfcontained, but can also be considered as a sequel to an earlier publication [l]. The latter publication may be consulted for some historical information regarding inverse spectral problems as well as relationships to other kinds of inverse problems.