| A Note on Necessary and Sufficient Conditions for the Jacobi Matrix Inverse Eigenvalue Problem |
| Received:April 20, 2005 Revised:July 19, 2005 |
| Key Words:
inverse problem inverse eigenvalue problem Jacobi matrix.
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| Fund Project:the Natural Science Foundation of Jiangsu Education Department (04KJD110216); the Foundation for Professors and Doctors of Yancheng Teachers College. |
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| Abstract: |
| This paper deals with an inverse eigenvalue problem of a specially structured Jacobi matrix, which arises from the discretization of the differential equation governing the axial of a rod with varying cross section. This problem was also studied by Lu L. Z. and Sun W.W.. We give some necessary conditions for such inverse eigenvalue problem to have solutions, and present some numerical examples to show that the sufficient conditions and algorithm presented by Lu is incorrect when the order of matrix is greater than 3. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.01.015 |
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