Abstract
The explicit inverse and determinant of a class of matrices are presented. The class under consideration is defined by 4n − 2 parameters, analytic expressions of which form the elements of the upper Hessenberg type inverse. These analytic expressions enable recursion formulae to be obtained, which reduce the arithmetic operations to O(n 2). The Hadamard product of two specific structures' matrices provides the class presented, special cases of which are already known classes of test matrices.
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