Construction of Lefkovitch and doubly Lefkovitch matrices with maximal eigenvalues and some diagonal elements prescribed

On the computational and numerical approaches for the powers of the doubly Lefkovitch matrix by linear difference equations

“…where b j (1 j r − 2), a j (1 j r) and d j (1 j r − 1) are in R + and 0 < s j 1 (1 j r − 1). Some properties of matrices (1.1) have been studied in [2], where the authors consider the problem of inverse eigenvalue. Moreover, the doubly Lefkovitch matrices can be considered as an extension of the Usher matrices U, where U = L([a i ], [s j ], [d j ], [0]), (see, for example, [8]).…”