%0 Journal Article %T A Generalization of a Class of Matrices: Analytic Inverse and Determinant %A F. N. Valvi %J Advances in Numerical Analysis %D 2011 %I Hindawi Publishing Corporation %R 10.1155/2011/593548 %X 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 4£¿2 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 (2). %U http://www.hindawi.com/journals/ana/2011/593548/