Affiliation:
1. Department of Mathematics, University of Patras, 26500 Patras, Greece
Abstract
The aim of this paper is to present the structure of a class of
matrices that enables explicit inverse to be obtained. Starting from an
already known class of matrices, we construct a Hadamard product that
derives the class under consideration. The latter are defined by
parameters, analytic expressions of which provide the elements of the
lower Hessenberg form inverse. Recursion formulae of these expressions
reduce the arithmetic operations in evaluating the inverse to .