Title of article :
Inverse eigenvalue problem for matrices whose graph is a banana tree
Author/Authors :
Babaei Zarch, M Department of Computer Science - Yazd University, Yazd , Shahzadeh Fazeli, S. A Department of Computer Science - Yazd University, Yazd , Karbassi, S. M Department of Computer Science - Yazd University, Yazd
Abstract :
In this paper, we consider an inverse eigenvalue problem
(IEP) for constructing a special kind of acyclic matri-
ces. The problem involves the reconstruction of matri-
ces whose graph is a banana tree. This is performed by
using the minimal and maximal eigenvalues of all lead-
ing principal submatrices of the required matrix. The
necessary and sucient conditions for the solvability of
the problem is derived. An algorithm to construct the
solution is provided.
Keywords :
Inverse eigenvalue problem , banana tree , leading principal minors , eigenvalue; graph of a matrix
Journal title :
Astroparticle Physics
