RECONSTRUCTION OF COMPLEX JACOBI MATRICES FROM SPECTRAL DATA

被引：0

作者：

Guseinov, Gusein Sh ^{[1
]}

机构：

[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2009年 / 38卷 / 03期

关键词：

Jacobi matrix; Difference equation; Spectral data; Inverse spectral problem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce spectral data for finite order complex Jacobi matrices and investigate the inverse problem of determining the matrix from its spectral data. Necessary and sufficient conditions for the solvability of the inverse problem are established. An explicit procedure of reconstruction of the matrix from the spectral data is given.

引用

页码：317 / 327

页数：11

共 18 条

[11]

Chu M.T., 2005, Inverse eigenvalue problems

[12] DETERMINATION OF AN INFINITE NON-SELF-ADJOINT JACOBI MATRIX FROM ITS GENERALIZED SPECTRAL-FUNCTION [J].