Abstract: 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.
Di̇dem Ersanli Bahti̇yar, Emrah Kiliç, "A New Generalization of Filbert-like Matrices," WSEAS Transactions on Mathematics, vol. 24, pp. 604-608, 2025, DOI:10.37394/23206.2025.24.59
Di̇dem Ersanli Bahti̇yar, Emrah Kiliç. A New Generalization of Filbert-like Matrices.
WSEAS Transactions on Mathematics. 2025;24:604-608. 10.37394/23206.2025.24.59