A New Generalization of Filbert-like Matrices

This study presents a novel matrix which generalizes Filbert-like matrices, where each of its all rows is defined by a distinct expression. We examine key characteristics of the proposed matrix, including its LUdecomposition, inverse computation, and determinant formula. If eigenvalues, determinant and inverse of a matrix are known, then it could be used as a test matrix. We hope our matrix will be a new member of the family of test matrices. Finally we give an example of our results to show how the new matrix is defined interestingly.