On The Computational Properties of 3-Cyclic and 4-Cyclic Refined Matrices and the Diagonalization Algorithm

Hasan Sankari^1,*, Mohammad Abobala¹

¹Tishreen University, Faculty of Science, Department of Mathematics, Latakia, Syria

Emails: Hasansankari2@gmail.com , Mohammadabobala777@gmail.com

Abstract:

This paper is concerned with studying the matrix computations of 3-cyclic refined neutrosophic matrices and 4-cyclic refined neutrosophic matrices with 3cyclic/4-cyclic real entries, where we introduce a novel method to compute eigenvalues and vectors of these matrix classes. Also, we provide a novel algorithm for diagonalization these matrices and to determine whether an n-cyclic refined matrix is diagonalizable or not for n=3, 4.

Keywords: 3-cyclic refined matrix; 4-cyclic refined matrix; Diagonalization problem; Matrix computation; Eigenvalue