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

Wu, Xiaoqian

doi:10.1016/j.amc.2012.10.013

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2016

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Cited by 7 publications

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“…The problems are transferred into inverse eigenvalue problems for Jacobi matrices in mathematics. Recently, some new results have been obtained on the inverse eigenvalue problems for Jacobi matrices, see [1][2][3][4]. Using two sets of eigenvalues or two incomplete eigenpairs, the inverse vibration problems of spring-mass systems have been studied by Nylen and Uhlig [5], and Huang, et al [6].…”

Section: Introductionmentioning

confidence: 99%

The Reconstruction of Spring-Mass System with Partial Given Data

Wan¹

2016

Proceedings of the 2015 International Conference on Mechanical Science and Engineering

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In this paper, two inverse vibration problems of constructing a grounding spring-mass system from its two eigenpairs and part of spring stiffness are considered. The vibration system is constrained to satisfy a relation that the total mass of system is a constant, and the problems are transferred into inverse eigenvalue problems for Jacobi matrix. The necessary and sufficient conditions for the construction of physically realizable systems with positive parameters are derived. Furthermore, the corresponding numerical algorithms and numerical example are given.

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Section: Introductionmentioning

confidence: 99%

The Reconstruction of Spring-Mass System with Partial Given Data

Wan¹

2016

Proceedings of the 2015 International Conference on Mechanical Science and Engineering

View full text Add to dashboard

show abstract

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

Cited by 7 publications

References 16 publications

The Reconstruction of Spring-Mass System with Partial Given Data

The Reconstruction of Spring-Mass System with Partial Given Data

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