In this paper we analyze the eigenvalues of some perturbed Jacobi matrices. The results
contain as particular cases the known spectra of several classes of tridiagonal matrices …

Abstract (p, q)-Pentadiagonal matrices have attracted considerable attention in the past few
years, which are one of the generalizations of pentadiagonal matrices. In the current paper …

We study the individual behavior of the eigenvalues of the laplacian matrices of the cyclic
graph of order n, where one edge has weight α∈ C, with Re (α)< 0, and all the others have …

In this paper, we firstly derive a general expression for the entries of the mth (m∈ ℕ) power
for two certain types of tridiagonal matrices of arbitrary order. Secondly, we present a …

In this paper we study the eigenvalues of the laplacian matrices of the cyclic graphs with one
edge of weight α and the others of weight 1. We denote by n the order of the graph and …

Sparse matrices appear frequently in mathematical models. In this paper, we firstly present a
general expression for the entries of the r th (r∈ ℕ) power of a certain n‐square sparse …

In this paper, firstly we derive a general expression for the mth power (m∈ N) for one type of
tridiagonal matrices of even order. Secondly we present a method for computing integer …

Rimas (2005a, 2005b, 2006a, 2006b) studied positive integer powers of some tridiagonal
matrices. Öteles and Akbulak (2013, 2014) obtained integer powers and complex …

Expressions for the integer powers of the Min matrix 1. Introduction and preliminaries Page
1 Journal of Linear and Topological Algebra Vol. 11, No. 03, 2022, 219- 223 DOR: 20.1001.1.22520201.2022.11.03.7.2 …

Özet Bu tezde, bazı tridiagonal ve circulant matrislerin pozitif tamsayı kuvvetlerinin
elemanlarını Chebyshev polinomlarına bağlı olarak veren formüller elde ettik. Daha sonra …