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Babaei Zarch, Maryam, Shahzadeh Fazeli, Seyed Abolfazl, Karbassi, Seyed Mehdi. (1397). Inverse eigenvalue problem for matrices whose graph is a banana tree. , 50(issue 2), 89-101. doi: 10.22059/jac.2018.69994
Maryam Babaei Zarch; Seyed Abolfazl Shahzadeh Fazeli; Seyed Mehdi Karbassi. "Inverse eigenvalue problem for matrices whose graph is a banana tree". , 50, issue 2, 1397, 89-101. doi: 10.22059/jac.2018.69994
Babaei Zarch, Maryam, Shahzadeh Fazeli, Seyed Abolfazl, Karbassi, Seyed Mehdi. (1397). 'Inverse eigenvalue problem for matrices whose graph is a banana tree', , 50(issue 2), pp. 89-101. doi: 10.22059/jac.2018.69994
Babaei Zarch, Maryam, Shahzadeh Fazeli, Seyed Abolfazl, Karbassi, Seyed Mehdi. Inverse eigenvalue problem for matrices whose graph is a banana tree. , 1397; 50(issue 2): 89-101. doi: 10.22059/jac.2018.69994

Inverse eigenvalue problem for matrices whose graph is a banana tree

Journal of Algorithms and Computation
مقاله 7، دوره 50، issue 2، اسفند 2018، صفحه 89-101    اصل مقاله (317.16 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2018.69994
نویسندگان
Maryam Babaei Zarch1؛ Seyed Abolfazl Shahzadeh Fazeli* 1؛ Seyed Mehdi Karbassi2
1Department of Computer Science, Yazd University, Yazd, Iran.
2Department of Mathematical Science, Yazd University, Yazd, Iran.
چکیده
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.
کلیدواژه‌ها
Inverse eigenvalue problem؛ banana tree؛ leading principal minors؛ eigenvalue؛ graph of a matrix
آمار
تعداد مشاهده مقاله: 331
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