Inverse Eigenvalue Problems for Two Special Acyclic Matrices
Inverse Eigenvalue Problems for Two Special Acyclic Matrices
In this paper, we study two inverse eigenvalue problems (IEPs) of constructing two special acyclic matrices. The first problem involves the reconstruction of matrices whose graph is a path, from given information on one eigenvector of the required matrix and one eigenvalue of each of its leading principal submatrices. The …