The Lehmer matrix with recursive factorial entries

Abstract

A generalized Lehmer matrix with recursive entries from Kilic et al. (2010b) is further generalized, introducing three additional parameters and taking recursive factorials instead of a term. Certain formulae are derived for the LU and Cholesky factorizations and their inverses, as well as the determinants. Then we precisely compute the elements of the inverse of the generalized Lehmer matrix.