Inverse eigenvalue problems

被引：4

作者：

Horvath, Miklos ^{[1
]}

Safar, Orsolya ^{[1
]}

机构：

[1] Budapest Univ Technol & Econ, Inst Math, Muegyetem Rkp 3-9, H-1111 Budapest, Hungary

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 11期

关键词：

D O I：

10.1063/1.4964390

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article we consider inverse eigenvalue problems for the Schrodinger operator on a finite interval. We extend and strengthen previously known uniqueness theorems. A partially known potential is identified by some sets of eigenvalues and norming constants. Published by AIP Publishing.

引用

页数：16

共 50 条

[31] INVERSE EIGENVALUE PROBLEMS FOR JACOBI MATRICES
HALD, OH
LINEAR ALGEBRA AND ITS APPLICATIONS, 1976, 14 (01) : 63 - 85
[32] A survey on inverse and generalized inverse eigenvalue problems for Jacobi matrices
Ghanbari, K.
APPLIED MATHEMATICS AND COMPUTATION, 2008, 195 (02) : 355 - 363
[33] A NOTE ON THE BACKWARD ERRORS FOR INVERSE EIGENVALUE PROBLEMS
Xinguo Liu Zhengjian Bai (Department of Mathematics
Journal of Computational Mathematics, 2003, (02) : 201 - 206
[34] INVERSE EIGENVALUE PROBLEMS FOR SYMMETRICAL TOEPLITZ MATRICES
FRIEDLAND, S
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1992, 13 (04) : 1142 - 1153
[35] Inexact Newton methods for inverse eigenvalue problems
Bai, ZJ
APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (02) : 682 - 689
[36] Class of inverse eigenvalue problems for Jacobi matrices
Yao, Chengyong
Dai, Hua
Nanjing Hangkong Hangtian Daxue Xuebao/Journal of Nanjing University of Aeronautics and Astronautics, 2002, 34 (03):
[37] Inexact Newton methods for inverse eigenvalue problems
Department of Mathematics, Chinese University of Hong Kong, Hong Kong, Hong Kong
Appl Math Comput (New York), 2 SPEC. ISS. (682-689):
[38] INVERSE EIGENVALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATIONS
Shibata, Tetsutaro
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[39] Inexact inverse iteration for generalized eigenvalue problems
Golub, GH
Ye, Q
BIT, 2000, 40 (04): : 671 - 684
[40] INVERSE EIGENVALUE PROBLEMS FOR THE MANTLE .2.
HALD, OH
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1983, 72 (01): : 139 - 164

← 1 2 3 4 5 →