An Inverse Eigenvalue Problem for a Special Kind of Matrices
Zhibing Liu, Baidi Chen, Kanmin Wang · 2011
In this paper we study a kind of inverse eigen value problem for a special kind of real symmetric matrices: the real symmetric Arrow-plus-Jacobi matrices. That is, matrices which look like arrow matrices forward and Jacobi backward, from the (p,p)station, 1 ≤ p ≤ n. We give a necessary and sufficient condition for the existence of such two matrices. Our results are constructive, in the sense that they generate an algorithmic procedure to construct the matrix.