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Author(s): |
Lichao Feng, College of Science, Hebei Polytechnic University, Tangshan, China
Ping Li, School of Mathematics and Statistics，Huazhong University of Science and Technology, Wuhan, China
Aimin Yang, College of Science, Hebei Polytechnic University, Tangshan, China
Yamian Peng, College of Science, Hebei Polytechnic University, Tangshan, China
Shaohong Yan, College of Science, Hebei Polytechnic University, Tangshan, China
Ling Wang, College of Science, Hebei Polytechnic University, Tangshan, China |
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Abstract: |
In this paper, a kind of inverse eigenvalue problem which is the reconstruction of real symmetric seven-diagonal matrix by there different eigenpairs is proposed. Using the computational relationship of Jacobi matrix and symmetric seven-diagonal matrix, the solvability of the problem is discussed, and the sufficient and necessary conditions for the existence of a solution of this problem, as well as the analytic formula of this solution, are derived. Furthermore a numerical experiment is given.
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