A Comprehensive Study of k-Circulant Matrices Derived from Generalized Padovan Numbers
Year: 2024
Type: article
Abstract: This paper presents a review of the k-circulant matrices and the generalized Padovan numbers, it further outlines the importance of these numbers and matrices with regard to matrices analysis and number theory. Considering the potential practical applications of k-circulant matrices in combination and numerical analysis, we derive explicit formulas for sum of entries, maximum column and row sum norms, Euclidean norm, spectral norm, eigenvalues and determinant of these matrices. Our research also shows the analytical relationships which exist between the usual structure of k-circulant matrices and generalized Padovan numbers that could be useful for the theoretical and practical researches.
Authors: Yuksel Soykan, Vedat Irge, Erkan Tasdemir
Institutions: Zonguldak Bülent Ecevit University, Kırklareli University
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405291377