Babaei Zarch, M., Shahzadeh Fazeli, S., Karbassi, S. (2018). Inverse eigenvalue problem for matrices whose graph is a banana tree. Journal of Algorithms and Computation, 50(issue 2), 89-101.
Maryam Babaei Zarch; Seyed Abolfazl Shahzadeh Fazeli; Seyed Mehdi Karbassi. "Inverse eigenvalue problem for matrices whose graph is a banana tree". Journal of Algorithms and Computation, 50, issue 2, 2018, 89-101.
Babaei Zarch, M., Shahzadeh Fazeli, S., Karbassi, S. (2018). 'Inverse eigenvalue problem for matrices whose graph is a banana tree', Journal of Algorithms and Computation, 50(issue 2), pp. 89-101.
Babaei Zarch, M., Shahzadeh Fazeli, S., Karbassi, S. Inverse eigenvalue problem for matrices whose graph is a banana tree. Journal of Algorithms and Computation, 2018; 50(issue 2): 89-101.
Inverse eigenvalue problem for matrices whose graph is a banana tree
1Department of Computer Science, Yazd University, Yazd, Iran.
2Department of Mathematical Science, Yazd University, Yazd, Iran.
Abstract
In this paper, we consider an inverse eigenvalue problem (IEP) for constructing a special kind of acyclic matrices. The problem involves the reconstruction of matrices whose graph is a banana tree. This is performed by using the minimal and maximal eigenvalues of all leading principal submatrices of the required matrix. The necessary and sufficient conditions for the solvability of the problem is derived. An algorithm to construct the solution is provided.
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