A new algorithm on the inverse eigenvalue problem for double dimensional Jacobi matrices

Wu, Xiaoqian; Jiang, E.

doi:10.1016/j.laa.2012.05.009

Cited by 13 publications

(2 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The problems are transferred into inverse eigenvalue problems for Jacobi matrices in mathematics. In recent years, some new results have been obtained on the construction of a Jacobi matrix, see [1] [2][3] [4]. Using two sets of eigenvalues or two incomplete eigenpairs, the inverse eigenvalue problems have been studied [5][6] [7].…”

Section: Introductionmentioning

confidence: 99%

Parameter Reconstruction of a Circuit System from Partial Eigeninformation

Wen-ting

2018

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Abstract. In this paper, the inverse eigenvalue problem of reconstructing a LC circuit system from its some parameters and incomplete eigenpairs is considered. The necessary and sufficient condition for the solvability of the problem is derived by solving a kind of general inverse eigenvalue problems. The computational expressions of the solution, the related numerical algorithm and a numercical example are given.

show abstract

Section: Introductionmentioning

confidence: 99%

Parameter Reconstruction of a Circuit System from Partial Eigeninformation

Wen-ting

2018

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…Such problems in mathematics are converted to inverse eigenvalue problems for Jacobi matrices. At present, research on the inverse eigenvalue problems for Jacobi matrices had some good results in [1][2][3][4][5][6]. Gladwell and Gbadeyan [7], and Nylen and Uhlig [8] considered the inverse vibration problems of spring-mass systems only from two sets of eigenvalues.…”

Section: Introductionmentioning

confidence: 99%

Inverse Eigenvalue Problem for a Class of Spring-Mass Systems

Wen-ting¹

2014

TOAUTOCJ

View full text Add to dashboard Cite

This paper discusses the constructional problem for a class of spring-mass systems whose part particles are connected to the ground. The problem is converted to an inverse eigenvalue problem for Jacobi matrix. An inverse eigenvalue problem of determining the system from its some physical parameters and incomplete eigenpairs is solved. The necessary and sufficient condition for constructing the system uniquely with positive parameters is obtained. Furthermore, the concrete expressions of the solution and the related numerical algorithm are derived, and numerical results show that the algorithm is effective.

show abstract

A divide and conquer algorithm on the double dimensional inverse eigenvalue problem for Jacobi matrices

2012

Applied Mathematics and Computation

View full text Add to dashboard Cite

A new algorithm on the inverse eigenvalue problem for double dimensional Jacobi matrices

Cited by 13 publications

References 6 publications

Parameter Reconstruction of a Circuit System from Partial Eigeninformation

Parameter Reconstruction of a Circuit System from Partial Eigeninformation

Inverse Eigenvalue Problem for a Class of Spring-Mass Systems

A divide and conquer algorithm on the double dimensional inverse eigenvalue problem for Jacobi matrices

Contact Info

Product

Resources

About