Document Type : Research Paper
Department of Computer Science, Yazd University, Yazd, Iran.
Department of Mathematical Science, Yazd University, Yazd, Iran.
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.